Nonlinear thermoelectric probes of anomalous electron lifetimes in topological Fermi liquids

Fuente: arXiv
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Auteurs principaux: Hofmann, Johannes, Rostami, Habib
Format: Preprint
Publié: 2023
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author Hofmann, Johannes
Rostami, Habib
author_facet Hofmann, Johannes
Rostami, Habib
contents In two-dimensional Fermi liquids (FLs), odd-parity Fermi surface deformations have anomalously slow relaxation rates that are suppressed as $T^4$ with temperature $T$, distinct from the standard FL $T^2$ scaling. We demonstrate here that these long-lived modes, which are often hidden in linear response, have a significant impact on nonlinear transport by establishing a direct proportionality of nonlinear thermoelectric currents to the anomalously large relaxation time. These currents exist in topological time-reversal invariant FLs, and their magnitude is characterized by topological heat capacitance terms that we refer to as the Berry curvature capacity and the velocity-curvature capacity. We quantify the effect in bismuth telluride, which is an efficient thermoelectric and a topological insulator with a hexagonal Fermi surface. The proposed field-induced thermoelectric currents are well within the range of current experiments. Our findings demonstrate the potential to explore topological and many-body effects in FLs through the nonlinear thermoelectric response, urging further experimental studies.
format Preprint
id arxiv_https___arxiv_org_abs_2312_12520
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Nonlinear thermoelectric probes of anomalous electron lifetimes in topological Fermi liquids
Hofmann, Johannes
Rostami, Habib
Mesoscale and Nanoscale Physics
In two-dimensional Fermi liquids (FLs), odd-parity Fermi surface deformations have anomalously slow relaxation rates that are suppressed as $T^4$ with temperature $T$, distinct from the standard FL $T^2$ scaling. We demonstrate here that these long-lived modes, which are often hidden in linear response, have a significant impact on nonlinear transport by establishing a direct proportionality of nonlinear thermoelectric currents to the anomalously large relaxation time. These currents exist in topological time-reversal invariant FLs, and their magnitude is characterized by topological heat capacitance terms that we refer to as the Berry curvature capacity and the velocity-curvature capacity. We quantify the effect in bismuth telluride, which is an efficient thermoelectric and a topological insulator with a hexagonal Fermi surface. The proposed field-induced thermoelectric currents are well within the range of current experiments. Our findings demonstrate the potential to explore topological and many-body effects in FLs through the nonlinear thermoelectric response, urging further experimental studies.
title Nonlinear thermoelectric probes of anomalous electron lifetimes in topological Fermi liquids
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2312.12520