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Electrical Transport in the Hatsugai-Kohmoto Model

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arxiv 2407.00156 v1 pith:OMYM7SQN submitted 2024-06-28 cond-mat.str-el cond-mat.mes-hall

Daniele Guerci , Giorgio Sangiovanni , Andrew J. Millis , Michele Fabrizio This is my paper
classification cond-mat.str-elcond-mat.mes-hall
keywords hatsugai-kohmotofluxmodelsspacetransportcoefficientscorrectcurrent
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We show that in models with the Hatsugai-Kohmoto type of interaction that is local in momentum space thus infinite-range in real space, Kubo formulas neither reproduce the correct thermodynamic susceptibilities, nor yield sensible transport coefficients. Using Kohn's trick to differentiate between metals and insulators by threading a flux in a torus geometry, we uncover the striking property that Hatsugai-Kohmoto models with an interaction-induced gap in the spectrum sustain a current that grows as the linear size at any non-zero flux and which can be either diamagnetic or paramagnetic.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Decomposing momentum scales in the Hubbard Model: From Hatsugai-Kohmoto to Aubry-Andr\'e

    cond-mat.str-el 2026-04 unverdicted novelty 6.0 of 10

    A momentum clustering method generalizes Hatsugai-Kohmoto models and recovers ground-state energies to within 1% of DMRG using two-site clusters in the Aubry-André-Hubbard model for strong onsite potentials.

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