Symmetry-Enforced Fermi Surfaces

arXiv:2512.04150 · cond-mat.str-el, cond-mat.mes-hall, hep-lat, hep-th · Submitted 2025-12-03 · Read on arXiv

cond-mat.str-el, cond-mat.mes-hall, hep-lat, hep-th

Submitted: 2025-12-03

Updated: 2026-09-17

Terminology

• Hilbert Space — 3× in this paper · explained in 2 episodes
• Bosonization — 2× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Symmetry Breaking — 2× in this paper · explained in 3 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Multipartite Entanglement — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes

Sources

• Zoo of quantum-topological phases of matter
• Fractons
• Interacting fermionic topological insulators/superconductors in three dimensions
• Composite fermi liquids in the lowest Landau level
• Composite fermion duality for half-filled multicomponent Landau Levels
• Deconfined quantum critical points: symmetries and dualities
• 8d gauge anomalies and the topological Green-Schwarz mechanism
• Anomaly Obstructions to Symmetry Preserving Gapped Phases
• Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry
• Obstructions to Gapped Phases from Non-Invertible Symmetries
• Quantized axial charge of staggered fermions and the chiral anomaly
• Lattice T-duality from non-invertible symmetries in quantum spin chains
• Parity anomaly from LSM: exact valley symmetries on the lattice
• Anomalies of Coset Non-Invertible Symmetries
• Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States
• Non-Fermi liquids as ersatz Fermi liquids: general constraints on compressible metals
• Phase Diagram of the Interacting Majorana Chain Model
• All Majorana Models with Translation Symmetry are Supersymmetric
• Majorana chain and Ising model -- (non-invertible) translations, anomalies, and emanant symmetries
• LSM and CPT

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