Nonlinear Thermoelectric Probes of Anomalous Dynamics in Topological Fermi Liquids
arxiv(2023)
摘要
In two-dimensional Fermi liquids, odd-parity Fermi surface deformations have
anomalously slow relaxation rates that are suppressed as $T^4$ with temperature
$T$, distinct from the standard Fermi-liquid $T^2$ 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
Fermi liquids, and their magnitude is characterized by new topological heat
capacitance terms that we refer to as the {\em Berry curvature capacity} and
the {\em velocity-curvature capacity}. We quantify the effect in bismuth
telluride, which is an efficient thermoelectric and a topological insulator
with a hexagonal Fermi surface. Our findings demonstrate the potential to
explore topological and many-body effects in Fermi liquids through the
nonlinear thermoelectric response, urging further experimental studies.
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