Author

Isaac Tesfaye

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Preprint Aug 2026

Exact quantum geometry from sublattice symmetry: Closed-form solution of the quarter-flux Harper-Hofstadter model

Quantum geometry has emerged as a guiding principle across atomic and condensed-matter physics, shaping the topological responses of Bloch bands and the stability of the correlated phases they host. Sublattice symmetry, though common among bipartite lattice models, has not yet been exploited to obtain closed-form quant...

Isaac Tesfaye, Andr'e Eckardt · 1 citation

Preprint Aug 2026

Exact analytical spectrum, eigenstates, and quantum geometry of the quarter-flux Harper-Hofstadter model

Quantum geometry has emerged as a guiding principle across atomic and condensed-matter physics, shaping the topological responses of Bloch bands and the stability of the correlated phases they host. Beyond two-band models, however, closed-form expressions for both the spectrum and the quantum geometry are rare. Here we...

Isaac Tesfaye, Andr'e Eckardt · 0 citations