Nonlinear thermoelectric probes of anomalous electron lifetimes in topological Fermi liquids

Abstract

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.

arXiv comment8 pages, 2 figures + 4 pages of Supplemental Material

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• Odd-parity effect and scale-dependent viscosity in atomic quantum gases
• Superballistic paradox in electron fluids: Evidence of tomographic transport
• Nonequilibrium Relaxation and Odd-Even Effect in Finite-Temperature Electron Gases
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