Drude weight of an interacting flat-band metal
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916591384395776 |
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| author | Antebi, Ohad Mitscherling, Johannes Holder, Tobias |
| author_facet | Antebi, Ohad Mitscherling, Johannes Holder, Tobias |
| contents | Flatband systems form a new class of materials that challenge the conventional wisdom of transport. The intrinsically strong electronic correlations combined with the vanishing kinetic energy scale suggest a sensitive dependence of transport properties on the flat band states and make interacting flat bands promising candidates for exotic quantum transport. Utilizing the Drude weight, we investigate the low-frequency spectral properties of the electrical conductivity within a controlled analytic treatment of the many-body response at temperatures above the bandwidth and the interaction strength and below the bandgap. Focusing on this new transport regime, we demonstrate the potential of a quantum geometric approach for interacting systems and intermediate temperatures. The derived spectral weight yields unexplored four-point geometric contributions unrelated to the quantum metric, which questions the previously proposed projection methods. For long-ranged interactions, we show that the low-frequency spectral weight reduces to the variance of the Berry curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09599 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Drude weight of an interacting flat-band metal Antebi, Ohad Mitscherling, Johannes Holder, Tobias Strongly Correlated Electrons Mesoscale and Nanoscale Physics Materials Science Superconductivity Flatband systems form a new class of materials that challenge the conventional wisdom of transport. The intrinsically strong electronic correlations combined with the vanishing kinetic energy scale suggest a sensitive dependence of transport properties on the flat band states and make interacting flat bands promising candidates for exotic quantum transport. Utilizing the Drude weight, we investigate the low-frequency spectral properties of the electrical conductivity within a controlled analytic treatment of the many-body response at temperatures above the bandwidth and the interaction strength and below the bandgap. Focusing on this new transport regime, we demonstrate the potential of a quantum geometric approach for interacting systems and intermediate temperatures. The derived spectral weight yields unexplored four-point geometric contributions unrelated to the quantum metric, which questions the previously proposed projection methods. For long-ranged interactions, we show that the low-frequency spectral weight reduces to the variance of the Berry curvature. |
| title | Drude weight of an interacting flat-band metal |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Materials Science Superconductivity |
| url | https://arxiv.org/abs/2407.09599 |