Magnetic long-range order at finite temperature in two-dimensional hyperbolic lattices

arXiv:2606.27422 · cond-mat.str-el, quant-ph · Submitted 2026-06-25 · Read on arXiv

cond-mat.str-el, quant-ph

Submitted: 2026-06-25

Updated: 2026-09-25

Comments: 30 pages, 15 figures

Journal ref: Phys. Rev. B 114, 134430 (2026)

DOI: 10.1103/bbzf-dzrc

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

Terminology

• Adjacency Matrix — 14× in this paper · explained in 1 episode
• Spectral Gap — 7× in this paper · explained in 5 episodes
• Anisotropy — 4× in this paper · explained in 3 episodes
• Antiferromagnetism — 4× in this paper · explained in 1 episode
• Symmetry Breaking — 3× in this paper · explained in 3 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Quantization — 2× in this paper · explained in 12 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Altermagnets — 1× in this paper · explained in 1 episode
• Antiferromagnetic Correlation — 1× in this paper · explained in 1 episode
• Chern Number — 1× in this paper · explained in 4 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Holonomy — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Spectral Signature — 1× in this paper · explained in 2 episodes
• Topological Defects — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Universality Class — 1× in this paper · explained in 2 episodes

Sources

• A Scalable Superconducting Circuit Framework for Emulating Physics in Hyperbolic Space
• Graph-based emulation of $d$-dimensional curved spaces with superconducting arrays
• Inherent altermagnetism in minimal tight-binding models of regular hyperbolic lattices
• Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory
• Superconductivity in hyperbolic spaces: Cayley trees, hyperbolic continuum, and BCS theory
• Lieb-Schultz-Mattis constraints for hyperbolic lattices
• Failure of the Goldstone Theorem for Vector Fields and Boundary-Mode Proliferation in Hyperbolic Lattices
• Theory of Anderson localization on the hyperbolic plane
• Discrete holography and density of states in the crossover from hyperbolic to Euclidean lattices

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