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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 · ORCID
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 3 Pith papers

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

  1. Fate of gapless edge states in two-dimensional topological insulators with Hatsugai-Kohmoto interaction

    cond-mat.str-el 2025-01 conditional novelty 6.0 of 10

    A finite Hatsugai-Kohmoto interaction opens a charge gap in the gapless edge states of Kane-Mele and spinful Haldane ribbons, with spin edge modes surviving in model-dependent ways.

  2. Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator

    cond-mat.str-el 2024-12 conditional novelty 6.0 of 10

    The Hatsugai-Kohmoto model with pairing interactions shows strong pair-density-wave fluctuations at momentum (π,π) for low doping and intermediate interaction, competing with ordinary superconductivity.

  3. Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid

    cond-mat.str-el 2024-12 conditional novelty 1.0 of 10

    A pedagogical review of the exactly solvable Hatsugai-Kohmoto model and its non-Fermi liquid and Mott insulating phases.

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