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Condensed Matter > Strongly Correlated Electrons

arXiv:2407.00156 (cond-mat)
[Submitted on 28 Jun 2024 ]

Title: Electrical Transport in the Hatsugai-Kohmoto Model

Title: Hatsugai-Kohmoto模型中的电输运特性

Authors:Daniele Guerci, Giorgio Sangiovanni, Andrew J. Millis, Michele Fabrizio
Abstract: 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.
Abstract: 我们证明,在具有动量空间局域但在实空间无穷远相互作用的Hatsugai-Kohmoto型模型中,Kubo公式既不能重现正确的热力学易感性,也无法得出有意义的输运系数。通过在环面几何中穿入通量以区分金属和绝缘体的Kohn技巧,我们揭示了Hatsugai-Kohmoto模型的一个显著性质:在谱中由相互作用诱导出能隙的模型在任意非零通量下会维持一个随线性尺寸增长的电流,并且这种电流可以是抗磁性的或顺磁性的。
Comments: 7 pages, 1 figure
Subjects: Strongly Correlated Electrons (cond-mat.str-el) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
Cite as: arXiv:2407.00156 [cond-mat.str-el]
  (or arXiv:2407.00156v1 [cond-mat.str-el] for this version)
  https://doi.org/10.48550/arXiv.2407.00156
arXiv-issued DOI via DataCite

Submission history

From: Daniele Guerci [view email]
[v1] Fri, 28 Jun 2024 18:00:04 UTC (193 KB)
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