Superconductivity and Magnetism in Bi-Ni System: From Bulk to Heterostructures

arXiv:2608.28855 · cond-mat.supr-con · Submitted 2026-08-28 · Read on arXiv

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Introduction to the show: ident: Quantum Radio. Generated commentary on the latest quantum physics and condensed matter papers.

Kai: I'm Kai, and with me are Mira and Lev, guest researcher.

Mira: Today's paper: "Superconductivity and Magnetism in Bi-Ni System".

Kai: The gist The Bi-Ni system has emerged as a convenient candidate for the investigation of unconventional superconductivity with ingredients of magnetism such as time reversal breaking,

Mira: First, who's behind it and why it matters.

Title and authors: Kai: So we're looking at this paper 'Superconductivity and Magnetism in Bi-Ni System: From Bulk to Heterostructures'. It tackles the idea of using this specific material system because it has all these ingredients—magnetism, time reversal breaking, triplet pairing—which are all things physicists are really interested in right now.

Mira: Exactly. The paper sets up the Bi-Ni system as a good candidate for looking at those kinds of unconventional superconducting effects and magnetic behaviors. It’s not just a random material; it has this specific structure that makes it interesting to study this kind of physics, and the authors are setting the stage for what they found in this work.

Lev: From where I sit on error correction, I want to know if we can actually get clean signals from something like NiBi3 when you try to build a device. It’s one thing to have a nice theoretical picture and another thing entirely to make it run reliably on real hardware.

Kai: Right, Lev. So the paper dives into the single crystal properties of NiBi3 first, looking at its basic structure and how it behaves electrically when you cool it down or apply a magnetic field.

Mira: The paper details that NiBi3 crystallizes in an orthorhombic structure with space group Pnma, and it shows this compound has an early saturation of electrical resistivity as the temperature gets really low, specifically in the range of thirty to fifty K, before hitting a superconducting transition around four K.

Lev: I remember when I looked at some of these bulk materials, the structure is often key. Does this specific way the Ni chains are aligned along that b-axis really dictate everything about how it conducts electricity?

Kai: It does. The paper explains that you have these quasi-1D chains of nickel atoms lined up along the b-axis, and those chains are embedded in a three dee framework made of bismuth atoms which create distorted coordination around the nickel <ref:2608.28855#pg1>.

Mira: And from a bonding view, they suggest this structure is essentially just a packing of these 1D rods, where the strong interactions between nickel and bismuth drive things, while the bi-bi bonding is less important <ref:2608.28855#pg1>.

Lev: That distinction between 1D rods and the framework sounds complicated for practical application <ref:2608.28855#pg1>. How does that structural detail feed into the magnetic stuff they are looking at next?

Kai: Well, they move on to magnetic ordering and spin fluctuations, noting that despite having nickel, the compound doesn't show much temperature-independent magnetism in its susceptibility, which is what you’d expect if there were no local magnetic moments present.

Title and authors: Mira: But then they bring up some older reports suggesting coexistence of ferromagnetism and superconductivity below the superconducting transition temperature TC, which they link to amorphous nickel inclusions inside or at the surfaces of those single crystals.

Lev: Amorphous inclusions sound like a nightmare for error correction. If you have those impurities, how much impact does that have on suppressing that superconducting contribution?

Kai: The paper says that when you look at magnetic fields above the upper critical field BC2, they see a peculiar behavior with finite magnetization, which is what you'd expect if there was some kind of ferromagnetism present.

Mira: They found the saturation magnetization to be small and they interpreted it as coming from residual amorphous nickel inclusions that were likely formed during synthesis or because of some other factor.

Lev: So it’s not a clean ferromagnetic state, but rather something messy with impurities. That tells us we probably can't rely on a simple magnetic ordering for the superconducting part, which is important for our hardware work.

Kai: Moving over to the bi/Ni bilayer system, this paper looks at how superconductivity emerges when you combine these two materials in a bilayer geometry where neither material shows superconductivity alone at room temperature.

Mira: In that setup, they found a superconducting transition with a critical temperature Tc around four K and looked at tunneling spectroscopy showing that superconducting correlations actually penetrate into the ferromagnetic nickel layer <ref:2608.28855#pg1>.

Lev: Penetration is good for proximity effects, but how far does this reach? The paper suggests the coherence length in nickel is estimated to be around three to four nanometers in these interfaces, which isn't just a simple interface effect <ref:2608.28855#pg1>.

Kai: That’s where the AI modeling comes into play, because we need to figure out how robust this penetration is when you try to engineer a device with those specific dimensions.

Mira: They also observed unconventional superconducting features in these samples, including a single peak at zero bias when probed with an Au tip that goes beyond what you'd expect from conventional s-wave pairing.

Lev: If the gap isn't s-wave, that means we might be dealing with something more complex, perhaps even nodal structures, which would make designing error correction codes much harder to predict.

Kai: And they also reported a spontaneous breaking of time reversal symmetry at the superconducting transition in their Bi(twenty-five nm)/Ni(two nm) sample using Kerr effect measurements.

Mira: That Kerr effect measurement is significant because it shows an increase in the k-theta that only appears on the bi surface, whereas the nickel side shows no signal at all.

Lev: Breaking time reversal symmetry usually means you’re dealing with something chiral, which points toward a p-wave like state, and that’s a huge flag for us.

Title and authors: Kai: The paper suggests this nonreciprocity requires breaking both inversion and time-reversal symmetries simultaneously, and the second-harmonic response shows extrema at finite magnetic fields where it reverses sign when you flip the field.

Mira: That nonreciprocal transport behavior emerging from the superconducting condensate itself is a key finding, suggesting that strong spin-orbit coupling plays a big role here.

Lev: If that nonreciprocity is linked to strong spin-orbit coupling, we need to be careful because standard Pauli limits for magnetic fields might not apply as simply as they do in simpler systems.

Kai: The paper also mentions that the upper critical field B parallel C2 systematically exceeds the Clogston–Chandrasekhar spin-paramagnetic Pauli limit BP by a factor of one point five in the superconducting state, which is quite robust behavior.

Mira: That factor of one point five suggests that Rashba spin-orbit coupling alone isn't enough to explain why superconductivity stays so strong under those in-plane magnetic fields; the experimental data goes beyond what that theory predicts.

Lev: So we’re looking at a regime where simple theoretical models struggle to capture the full reality of the superconducting state in this system.

Kai: The paper also discusses how superconductivity in these bilayers seems tied back to deposition techniques, linking epitaxial growth to specific structural features like FCC-induced cubic bi structures or amorphous bi clusters.

Mira: And for non-epitaxial samples, they found that the spontaneous formation of NiBi3 at the interface really seems to be what drives the superconducting transition.

Lev: That dependence on synthesis conditions—whether it’s epitaxial or just a random interface—means we have to control our growth environment very precisely if we want to get reproducible results for error correction.

Kai: Looking at the improvements suggested by these authors, they suggest ways to better model these complex superconducting states and predict them based on the experimental signatures they've already gathered.

Mira: Specifically, they propose using AI to accurately predict whether a Bi/Ni bilayer exhibits a chiral p-wave like state, using those Kerr effect measurements as a guide.

Lev: That would be useful because if we can predict the symmetry, we can better anticipate what kind of error correction physics we’ll be dealing with on the hardware side.

Kai: They also suggest an AI that can distinguish between different phases in these Bi/Ni systems by calculating the effective gap ratio Eg over Delta, telling you if it's a trivial state or a topological phase like TSC.

Mira: That would help us move beyond just saying something is unconventional and give us a more quantifiable metric for the underlying physics.

Lev: And that would connect the abstract theory directly to what we need to measure on our experimental setup.

Title and authors: Kai: They also want an AI that can predict the dominant mechanism of superconductivity based on the synthesis conditions, telling you if you're looking at epitaxial growth versus non-epitaxial samples.

Mira: That’s important because it tells us whether we should focus our theoretical models on structure-induced effects or interface chemistry.

Lev: Knowing that helps narrow down where we need to concentrate our experimental validation efforts for the next generation of these materials.

Kai: Finally, they want an AI to model the proximity effect by quantifying how superconducting correlations penetrate into the ferromagnetic nickel layer, moving beyond just estimating a simple interfacial phenomenon.

Mira: Quantifying that penetration depth would be huge, because it moves us from a vague idea about how far superconductivity spreads to a concrete number we can use in simulations.

Lev: If the AI can give us that quantified penetration length, we can start designing better error correction schemes that account for those specific spatial correlations.

Kai: So to wrap up on this paper, 'Superconductivity and Magnetism in Bi-Ni System: From Bulk to Heterostructures', it shows how this material system is a rich ground for studying magnetism and unconventional superconductivity across different scales.

Mira: The key things are the interplay between the bulk NiBi3 properties, the proximity effects in bilayers, and how synthesis conditions dictate whether you see complex magnetic features or simpler BCS-like behavior.

Lev: It sets up a clear roadmap for understanding how these materials behave from a bulk perspective down to the nanoscale interface where error correction might actually happen.

Kai: We're really interested in how this material can be used not just as an interesting physics example, but as something that informs the next steps in developing novel quantum hardware.

Mira: It shows that even when you have clear conventional superconducting features like a nodeless gap following BCS predictions, you can still hide more complex physics lurking underneath, depending on the geometry and the magnetic environment.

Lev: We need to keep pushing to find those complex features, especially those related to topological states or unconventional pairing symmetries that might be present in these systems.

Kai: We'll keep an eye on how this paper influences the next generation of experiments as we look at other candidates for these kinds of phenomena.

Mira: It’s a lot to process, but it gives us a solid set of questions to ask about how magnetism and pairing interact in these layered systems.

Lev: Yeah, we need those answers if we want to move toward building something that actually works reliably on a real chip.

Kai: That’s what this paper does well—it connects the dots between the fundamental material science and the specific experimental observations we're making right now.

The paper's summary: Kai: So we're looking at this paper 'Superconductivity and Magnetism in Bi-Ni System: From Bulk to Heterostructures'. It basically takes this material, NiBi3, and looks at how its bulk properties connect to what happens when you stack it up in a bilayer.

Mira: The big takeaway here is that this system is a really interesting playground because it shows these different physics happening depending on whether you're looking at the whole crystal or just a thin interface.

Lev: So, if I had to put the core idea simply, it’s about seeing how magnetic fluctuations in NiBi3 influence the superconducting gap in these layered structures.

Kai: Right. The paper shows that even though NiBi3 itself is a standard BCS superconductor at low temperatures, when you look at the Bi/Ni bilayer, things get much more complicated with proximity effects.

Mira: Exactly. They found that superconductivity isn't just sitting at the interface; it actually spreads deep into the nickel layer, which they estimate to be about three to four nanometers thick.

Lev: That distance is key for us because if you’re trying to build a device, knowing how far that correlation penetrates tells you how much of the magnetic material you’re actually coupling to.

Kai: And they also found these really strange transport features in those bilayers, like a nonreciprocal signal that reverses sign when you flip the magnetic field direction.

Mira: That nonreciprocity is what’s so exciting because it suggests that time-reversal symmetry is breaking, which usually points toward some kind of chiral pairing symmetry in the superconductor.

Lev: If you’re seeing that kind of response, it means standard models based on simple s-wave pairing probably aren't enough to describe what's happening there.

Kai: The paper also ties this directly back to how the material is grown, distinguishing between films grown epitaxially versus those made by depositing materials haphazardly.

Mira: They found that the way you grow it—if it’s epitaxial growth linked to specific cubic structures—it seems to favor one kind of superconducting behavior.

Lev: But for non-epitaxial samples, the paper points out that the spontaneous formation of NiBi3 right at that interface is what drives the transition, which complicates things because you can't control exactly where that happens.

Kai: So, in short, they’re showing us a complex picture where bulk properties meet interface physics to create these unconventional superconducting signatures.

Mira: It means we need to be very careful when we model these systems because the physics changes based on whether you’re looking at a bulk crystal or a tiny layered structure.

Lev: And that complexity is what makes it so important for error correction because those subtle spatial correlations are exactly where you have to focus your measurements.

Kai: Next up, we’re going to look at how this material can be used to predict specific phases, like whether it’s a trivial state or something more exotic.

The paper's improvements: Kai: We just talked about how this paper shows that superconductivity isn't just happening at the surface but actually penetrating deep into the nickel layer in those thin bilayers we build.

Mira: Right. And now we’re looking at what the authors suggest they need to do next to make this understanding more concrete.

Lev: I want to talk about these improvements because right now, seeing a phenomenon is one thing, but getting it into a real device is another whole different story.

Kai: So the paper suggests using AI to get better at predicting if those Bi/Ni bilayers are actually going to be in that chiral p-wave state we talked about.

Mira: Exactly. The authors want an AI that can look at the Kerr effect measurements and tell us, based on the data, whether we’re looking at a trivial superconducting state or something more topological like a TSC phase.

Lev: If we can predict that symmetry, it cuts down on the guesswork for designing error correction codes because we know exactly what kind of physics to expect from the hardware.

Kai: And they also suggest an AI that can figure out whether you’re looking at epitaxial growth or just some messy non-epitaxial interface formation when you analyze your synthesis conditions.

Mira: That would be super helpful for figuring out which physical mechanism—the structure or the chemistry—is actually controlling the superconductivity in your samples.

Lev: For me, that distinction is vital because if we know it’s structure-driven, we can try to engineer that structure better instead of just tweaking the deposition recipe blindly.

Kai: Then there’s the quantification of that proximity effect; they want an AI to model exactly how far those superconducting correlations penetrate into the ferromagnetic nickel layer.

Mira: That moves us past just saying it penetrates four nanometers and gives us a precise number we can use in our simulations about how strong that coupling is.

Lev: Quantifying that penetration depth would be huge because it means we can design error correction schemes specifically tailored to those spatial correlations, not just general ones.

Kai: So these improvements are basically about moving from observing the weird stuff to actually predicting and quantifying the underlying physics in a way that matters for hardware.

Mira: It’s about turning these interesting experimental results into tools we can use to design better materials and better error correction protocols.

Lev: If they can nail those predictions, it means we can start designing hardware that is resilient to those specific magnetic fluctuations they mentioned earlier.

Kai: So, the next step is taking all this data and feeding it into these models so we stop just seeing weird effects and start actually controlling them.

Conclusion: Kai: So we’re wrapping up on 'Superconductivity and Magnetism in Bi-Ni System: From Bulk to Heterostructures'. Basically, this paper shows how the material's structure and growth method completely dictate whether you see simple BCS behavior or these much more complex unconventional superconducting states in the bilayer.

Mira: It really highlights that you can have a perfectly normal looking superconductor on its own, but when you put it in a layered system with magnetism, all those hidden topological features pop up depending on the setup.

Lev: What this means for error correction is that we need to stop treating these materials as simple superconductors and start thinking about how their specific geometry and magnetic environment create these unique quantum states.

Kai: The main implication is that we can’t just rely on bulk measurements; you have to consider the interface chemistry, whether it’s epitaxial or just random growth at room temperature.

Mira: Exactly. And for theorists, it gives us a way to link microscopic structural details—like those 1D nickel chains—directly to macroscopic magnetic fluctuations that influence the pairing gap <ref:2608.28855#pg1>.

Lev: For hardware guys, this points toward needing more sophisticated modeling tools like the AI we talked about earlier so we can actually design protocols that work with these spatially correlated states.

Kai: So, to summarize, this paper confirms that this material system is rich because it lets you explore the full spectrum from bulk physics right down to nanoscale interface effects.

Mira: It’s a reminder that even in a system that looks like it should be simple, magnetism and proximity effects can introduce these incredibly complex superconducting dynamics.

Lev: We’ll need to keep pushing for those specific spatial models, because if we don't have those precise numbers on how far the correlation spreads, our error correction designs will always be guesswork.

Kai: Anyway, that’s what we got on this paper. It sets a really good foundation for how we approach materials that look simple but hide complex quantum behavior.

Mira: Thanks for listening to us talk about 'Superconductivity and Magnetism in Bi-Ni System: From Bulk to Heterostructures'.

Lev: I'm looking forward to seeing how this framework helps us design more robust systems in the next round of research.

Kamerlingh Onnes-Huygens Laboratory, Leiden University · Instituto de Física, Universidade Federal do Rio Grande do Sul · Instituto de Física, Universidade Federal Fluminense

cond-mat.supr-con

Submitted: 2026-08-28

Updated: 2026-08-28

DOI: 10.1088/1361-6668/aeaab3

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Importance score: 77/100

The gist: The gist The Bi-Ni system has emerged as a convenient candidate for the investigation of unconventional superconductivity with ingredients of magnetism such as time reversal breaking, triplet pairing

Key concepts

Time Reversal Symmetry Breaking (TRS)
This is a fundamental symmetry in physics where reversing the direction of time leaves the laws of physics unchanged. In this material system, experimental evidence suggests that the superconducting state spontaneously breaks TRS, which is a key indicator of unconventional pairing mechanisms like triplet pairing and points toward topological superconductivity.
Triplet Pairing
This refers to a specific type of electron pairing in superconductors where the two electrons form a pair with parallel spins rather than antiparallel spins. Unlike conventional s-wave pairing, triplet pairing is often associated with unconventional superconductivity and can lead to exotic properties like spontaneous magnetic moments or spin-orbit coupling effects.
Proximity Effect
The proximity effect describes how superconducting properties from one material (like the superconductor) can leak into an adjacent non-superconducting material (like a ferromagnet). In the Bi/Ni bilayer, this effect is crucial as it allows superconductivity to penetrate deep into the ferromagnetic Ni layer, extending its influence beyond just the interface.
Topological Superconducting Phase
This is a theoretical superconducting state characterized by specific topological features in its electronic structure. The paper suggests that the Bi/Ni system might be inside such a phase, which explains observed phenomena like nonreciprocal transport and the robust nature of superconductivity under magnetic fields, linking magnetism to unconventional pairing.

Terminology

Summary

The gist The Bi-Ni system has emerged as a convenient candidate for the investigation of unconventional superconductivity with ingredients of magnetism such as time reversal breaking, triplet pairing and proximity effects.

NiBi3 Single Crystal Properties

** NiBi3 crystallizes in a centrosymmetric orthorhombic structure with space group Pnma, consisting of quasi-1D chains of Ni atoms aligned along the b-axis (Page 2). The compound exhibits an early saturation of the electrical resistivity as a function of temperature at unusually low temperatures, typically in the range of 30–50 K, and a superconducting transition occurring at approximately 4 K (Page 2). It is established as a type-II superconductor in the strong-coupling regime, characterized by an electron-phonon coupling constant λe-p ≈ 0.9 (Page 2). The superconducting coherence length is anisotropic, varying from 14 to 38 nm depending on the crystallographic direction, with an average isotropic value of about 26 nm (Page 2). Magnetic investigations in submicrometer NiBi3 samples show a field- and temperature-dependent behavior where at low fields the system enters the Meissner state, whereas at higher fields a clear ferromagnetic hysteresis loop develops (Page 4). The absence of any Kerr signal in both zero-field cooling (ZFC) and training-field protocols indicates that the superconducting transition does not generate a measurable magnetic moment and preserves time-reversal symmetry (TRS) (Page 5). Conventional superconducting behavior is supported by spectroscopic probes which reveal a fully developed, nodeless gap whose temperature dependence closely follows the BCS prediction (Page 6). The relation between this two phenomena remains unclear, with the magnetic fluctuations picture being a good description for the magnetic effect above the critical temperature (Page 6). The longitudinal magnetoresistance develops unconventional features that deviate from ordinary metallic behavior above a certain temperature, suggesting additional scattering mechanisms beyond simple orbital effects (Page 7). In bulk NiBi3, angle-resolved photoemission spectroscopy reveals linear energy–momentum dispersions consistent with topological surface states along the Γ → X and Γ → Y directions (Page 8). The system exhibits a BCS-like superconducting gap well described by an isotropic s-wave model based on direct spectroscopic probes (Page 6). The suppression of Tc under hydrostatic pressure can be quantitatively reproduced within the BCS framework using the relation Tc = 1.136ΘD exp[-1/V N(EF)] (Page 6). Pressure-dependent studies indicate that changes in N(EF), rather than phononic stiffening, provide the dominant contribution to the suppression of superconductivity under pressure (Page 6). The resistivity becomes saturated in between 150-200 K, where the change in curvature becomes pronounced (Page 7). In this temperature range, transport can no longer be described by a single relaxation time, suggesting that distinct scattering processes govern zero-field resistivity and magnetotransport (Page 7). The system shows a complex interplay between line-node physics and Z2 topology in NiBi3, with experimental evidence supporting these theoretical predictions (Page 8). The origin of superconductivity seems related to the deposition technique, where epitaxial growth is linked to FCC-induced cubic Bi structures or amorphous Bi clusters (Page 15). In non-epitaxial samples, the spontaneous formation of intermetallic NiBi3 at the interface seems to dominate the superconducting transition (Page 15). The microscopic theoretical model developed considers a ferromagnetic Ni layer, a NiBi3 layer responsible for the superconductivity gap due to proximity effect, and a metallic surface state from a Bi layer (Page 15). This model predicts a topological p ± ip superconducting phase (TSC) with a finite topological gap of ∼ 0.4 meV (Page 15). The experimental data place the Bi/Ni system inside this topological p ± ip phase (Page 15). The relation between this two phenomena remains unclear, with the magnetic fluctuations picture being a good description for the magnetic effect above the critical temperature (Page 15).**

Bi/Ni Bilayer Phenomena

** Individually, neither Ni nor Bi exhibits superconductivity under ambient conditions, but when combined in a bilayer geometry, a superconducting transition emerges with a critical temperature Tc ∼ 4 K (Page 9). Tunneling spectroscopy on Al/Al2O3/Ni/Bi junctions demonstrated that superconducting correlations penetrate into the ferromagnetic Ni layer with an estimated coherence length ξNi ∼ 3–4 nm, indicating a proximity effect that extends beyond a simple interfacial phenomenon (Page 9). Measurements from both sides of the bilayer confirmed that superconductivity is not confined to the Bi/Ni interface but persists throughout the Bi layer for thicknesses up to at least 40 nm (Page 9). Unconventional superconducting features were observed in these samples, including a single peak centered at zero bias when probed with an Au tip, exceeding the behavior expected for conventional s-wave pairing (Page 10). Polar Kerr Effect measurements reported a spontaneous breaking of TRS at the superconducting transition of the Bi(25 nm)/Ni(2 nm) sample (Page 10). This increase in θk is only detected on the Bi surface, whereas the Ni/MgO side shows no Kerr signal (Page 10). The nonreciprocal transport requires the simultaneous breaking of inversion and time-reversal symmetries and is widely regarded as a hallmark of strong SOC and enables current-direction-dependent responses (Page 13). The second-harmonic response exhibits extrema at finite magnetic fields and reverses sign upon field inversion, demonstrating its nonreciprocal character (Page 13). The in-plane upper critical field B∥C2 systematically exceeds the Clogston–Chandrasekhar spin-paramagnetic (Pauli) limit BP by a factor of 1.5 in the superconducting state (Page 14). This robust behavior suggests that Rashba SOC alone cannot fully account for the robustness of superconductivity under in-plane magnetic fields, as experimental data lies beyond this theoretical maximum (Page 14). The origin of superconductivity seems related to the deposition technique, where epitaxial growth is linked to metastable phases of Bi or amorphous clusters as the source of superconductivity (Page 15).**

Formation of NiBi3 Interlayer

** In non-epitaxial grown made by sputtering or pulsed laser deposition (PLD), characterization data unambiguously demonstrate the spontaneous formation of NiBi3 at the Bi/Ni interface during deposition (Page 12). The superconducting transition temperature observed in these bilayers is remarkably close to that of bulk NiBi3 (Tc ∼ 4 K) (Page 12). Reaction kinetics depend sensitively on both the Bi and Ni thicknesses, as for relatively thick Ni layers, the available Bi is fully consumed, resulting in the formation of mixed NiBi and NiBi3 phases at the interface (Page 12). The growth of the NiBi3 layer proceeds in tandem with the depletion of both parent elements (Page 12). The role of NiBi3 was investigated in a Bi/Ni/Bi trilayer structured prepared by thermal evaporation at 4.2 K, where no signal of superconductivity was observed mainly due to the suppression of interdiffusion (Page 12). A sharp transition with Tc ∼ 4 K emerged after 24 days of storage at room temperature, consistent with the gradual formation of NiBi3 at the interface (Page 15). The thickness dependence of Tc for a fixed Ni layer and varying Bi thickness follows the same trend as epitaxial films, with saturation at higher Bi thicknesses reflecting the approach to bulk NiBi3 (Page 15).**

Unconventional Superconductivity Features in NiBi3

** Nonreciprocal superconducting transport manifested as a finite second-harmonic resistance component that reverses sign under magnetic field inversion (Page 13). This nonreciprocity is not a trivial normal-state magnetotransport effect but instead emerges from the superconducting condensate itself, naturally interpreted in terms of strong interfacial SOC of Rashba-like origin (Page 13). The strong enhancement of the nonreciprocal signal near Tc suggests that the relevant energy scale governing transport is reduced from the Fermi energy to the superconducting gap, amplifying the relative influence of SOC and magnetic field on the electronic response (Page 13). In epitaxial Bi/Ni bilayers, a nodeless, fully gapped superconducting state was shown using time-domain terahertz spectroscopy technique by Chauhan et al., effectively ruling out any d-wave or odd-frequency pairing (Page 10). The system exhibits a nodeless gap whose temperature dependence closely follows the BCS prediction based on direct spectroscopic probes (Page 6). In the Bi/Ni bilayer geometry, the absence of any detectable first- or second-harmonic field dependence in the normal state, together with the sharp onset of a finite R2x signal in the superconducting transition, indicates that nonreciprocity emerges from the superconducting condensate itself (Page 13).**

Gaps in Literature

** In bulk single crystals, state-of-the-art techniques have consistently reported the absence of long-range ferromagnetism yet revealed surface-confined magnetic fluctuations whose microscopic origin is still debated (Page 16). These observations contrast sharply with the pronounced ferromagnetic-like signatures in confined geometries, suggesting a dimensionality-driven instability that remains unexplained (Page 16). For the Bi/Ni bilayer case, the microscopic origin of superconductivity remains unsettled, as epitaxial films are linked to metastable phases of Bi while polycrystalline growth at room temperature is linked to the spontaneous formation of NiBi3 (Page 16). The symmetry of the superconducting order parameter is also debated, with Kerr effect and Andreev spectroscopy suggesting unconventional chiral states that strongly contrast with the policrystalline case where the order parameter follows BCS predictions (Page 16).

Improvements for AI systems

  1. Modeling Unconventional Superconducting States: The improved AI system can accurately predict whether a Bi/Ni bilayer exhibits a chiral p-wave–like state (px + ipy) by analyzing experimental signatures such as the spontaneous breaking of TRS detected via Kerr effect measurements.

  2. Topological Phase Prediction: The system can distinguish between different phases in Bi/Ni systems by determining if they are in a trivial superconducting state (NSC), a gapless region, or a topological p ± ip superconducting phase (TSC) based on the calculated effective gap ratio Eg/∆.

  3. Growth Technique Sensitivity Assessment: The AI can predict the dominant mechanism of superconductivity based on synthesis conditions, specifically distinguishing between epitaxial growth (linked to FCC-induced cubic Bi structures or amorphous Bi clusters) and non-epitaxial samples (where the spontaneous formation of NiBi3 at the interface seems to dominate).

  4. Magnetotransport Anomaly Detection: The system can identify deviations from conventional metallic behavior by analyzing magnetoresistance, specifically detecting the violation of Kohler’s rule above a given temperature and correlating it with spin fluctuations as a possible origin of this additional scattering channel.

  5. Proximity Effect Quantification: The AI can model the superconducting coherence length ξNi ∼ 3–4 nm in Ni/Bi interfaces to quantify how superconducting correlations penetrate into the ferromagnetic Ni layer, moving beyond a simple interfacial phenomenon.

Sources

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