Emergent Hall viscosity in the integer quantum Hall phases of graphene-like systems

arXiv:2606.03932 · cond-mat.mes-hall · Submitted 2026-06-02 · Read on arXiv

cond-mat.mes-hall

Submitted: 2026-06-02

Updated: 2026-09-19

Comments: 26 pages, accepted for publication in Physics Letters A

Journal ref: Physics Letters A, Volume 595, 132096 (2026)

DOI: 10.1016/j.physleta.2026.132096

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

Terminology

• Chern Number — 10× in this paper · explained in 4 episodes
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Robustness — 4× in this paper · explained in 5 episodes
• Symmetry Breaking — 4× in this paper · explained in 3 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Quantization — 2× in this paper · explained in 12 episodes
• Quantum Physics — 2× in this paper · explained in 10 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Berry Curvature — 1× in this paper · explained in 3 episodes
• Bulk Viscosity — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Effective Hamiltonian — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Topological Defects — 1× in this paper · explained in 2 episodes

Sources

• Electromagnetic and gravitational responses of two-dimensional non-interacting electrons in background magnetic field
• Hall viscosity from elastic gauge fields in Dirac crystals
• Piezoelectricity in planar boron nitride via a geometric phase
• Non-renormalization of the Hall viscosity of integer and Jain fractional quantum Hall phases by Coulomb interactions
• Viscous Maxwell-Chern-Simons theory for topological electromagnetic phases of matter
• The electronic properties of graphene
• Gauge fields from strain in graphene
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Hall conductivity as the topological invariant in magnetic Brillouin zone in the presence of interactions
• Non-renormalization of the fractional quantum Hall conductivity by interactions
• Lectures on the Quantum Hall Effect
• Hall viscosity, topological states and effective theories

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