Latent Haldane Models

arXiv:2411.08202 · cond-mat.mes-hall, cond-mat.str-el, quant-ph · Submitted 2024-11-12 · Read on arXiv

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

Submitted: 2024-11-12

Updated: 2025-02-19

Comments: 13 pages, 14 figures, regular article to be submitted to Physical Review B

Journal ref: Phys. Rev. B 111, 245106 (2026)

DOI: 10.1103/PhysRevB.111.245106

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

Terminology

• Chern Number — 6× in this paper · explained in 4 episodes
• Phase Transitions — 6× in this paper · explained in 2 episodes
• Symmetry Breaking — 3× in this paper · explained in 3 episodes
• Effective Hamiltonian — 2× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Berry Curvature — 1× in this paper · explained in 3 episodes
• alpha — 1× in this paper · explained in 1 episode

Sources

• Haldane model on the Sierpi'nski gasket
• Higher-order topology protected by latent crystalline symmetries
• Isospectral Reductions of Non-negative Matrices
• Exceptional features in nonlinear Hermitian systems

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