Non-renormalization of the Hall viscosity of integer and Jain fractional quantum Hall phases by Coulomb interactions

arXiv:2602.12915 · cond-mat.mes-hall, cond-mat.str-el · Submitted 2026-02-13 · Read on arXiv

cond-mat.mes-hall, cond-mat.str-el

Submitted: 2026-02-13

Updated: 2026-09-19

Comments: 31 pages, accepted for publication in Annals of Physics

Journal ref: Annals of Physics, Volume 494, 170650 (2026)

DOI: 10.1016/j.aop.2026.170650

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

Terminology

• Homogeneity — 9× in this paper · explained in 2 episodes
• Hilbert Space — 5× in this paper · explained in 2 episodes
• Regularization — 3× in this paper · explained in 3 episodes
• Robustness — 3× in this paper · explained in 5 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Quantization — 2× in this paper · explained in 12 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Anyons — 1× 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
• Consistency — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Topological Defects — 1× in this paper · explained in 2 episodes
• Topological Order — 1× in this paper · explained in 2 episodes

Sources

• Odd Viscosity
• Hall Viscosity and Electromagnetic Response
• Hall viscosity, topological states and effective theories
• Transport signatures of Hall viscosity
• Hydrodynamic Electron Flow and Hall Viscosity
• Hall viscosity and electromagnetic response of electrons in graphene
• Negative magnetoresistance in viscous flow of two-dimensional electrons
• Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
• Measuring Hall Viscosity of Graphene's Electron Fluid
• Hall viscosity from elastic gauge fields in Dirac crystals
• Hall viscosity for optical phonons
• Hall Viscosity and the Acoustic Faraday Effect
• Phonon Hall Viscosity in Magnetic Insulators
• Hall viscosity in the A-phase of superfluid $^3$He
• Low-energy effective field theory of superfluid 3He-B and its gyromagnetic and Hall responses
• Viscous Maxwell-Chern-Simons theory for topological electromagnetic phases of matter
• Optical $N$-invariant of graphene's viscous Hall fluid
• Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems
• Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
• Momentum space topological invariants for the 4D relativistic vacua with mass gap

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