Lieb-Schultz-Mattis constraints for hyperbolic lattices

arXiv:2605.15974 · cond-mat.str-el, cond-mat.mes-hall, quant-ph · Submitted 2026-05-15 · Read on arXiv

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

Submitted: 2026-05-15

Updated: 2026-10-12

Comments: 20 pages, 3 figures, 1 table. v2: version published as PRB Editors' Suggestion

Journal ref: Phys. Rev. B 114, 245110 (2026)

DOI: 10.1103/cdsy-56yy

Code: https://github.com/HyperCells/HyperCells

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

Terminology

• Degeneracy — 1× in this paper · explained in 4 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• A Scalable Superconducting Circuit Framework for Emulating Physics in Hyperbolic Space
• Amplified magnetic catalysis in non-Hermitian Euclidean and hyperbolic Dirac liquids
• Strained hyperbolic Dirac fermions: Zero modes, flat bands, and competing orders
• 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
• Nearest-Neighbor Tight-Binding Realization of Hyperbolic Lattices with $\mathbb{Z}_2$ Gauge Structures
• Lieb-Schultz-Mattis Anomalies and Anomaly Matching

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