Electrical Transport in the Hatsugai-Kohmoto Model
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914854116261888 |
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| author | Guerci, Daniele Sangiovanni, Giorgio Millis, Andrew J. Fabrizio, Michele |
| author_facet | Guerci, Daniele Sangiovanni, Giorgio Millis, Andrew J. Fabrizio, Michele |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00156 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electrical Transport in the Hatsugai-Kohmoto Model Guerci, Daniele Sangiovanni, Giorgio Millis, Andrew J. Fabrizio, Michele Strongly Correlated Electrons Mesoscale and Nanoscale Physics 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. |
| title | Electrical Transport in the Hatsugai-Kohmoto Model |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2407.00156 |