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Electrical Transport in the Hatsugai-Kohmoto Model
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Electrical Transport in the Hatsugai-Kohmoto Model
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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.
Forward citations
Cited by 1 Pith paper
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Decomposing momentum scales in the Hubbard Model: From Hatsugai-Kohmoto to Aubry-Andr\'e
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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