Linear response from tilted Dirac cones under strain-induced pseudomagnetic fields

TL;DR

This paper studies how strain-induced pseudomagnetic fields affect transport in tilted Dirac cones, revealing dispersive pseudo-Landau levels with unique momentum-dependent properties and experimental signatures.

Contribution

It introduces a framework for understanding transport in anisotropic, tilted Dirac systems with strain-induced pseudogauge fields, highlighting dispersive PLLs and their measurable effects.

Findings

Pseudo-Landau levels are dispersive with momentum dependence.

Transport responses include nonzero longitudinal thermoelectric and thermal components.

The validity of Mott relation and Wiedemann-Franz law is examined in this context.

Abstract

We investigate the transport signatures of pseudo-Landau levels (PLLs) in two-dimensional anisotropic Dirac systems with tilted cones, whose effective bandstructure results from strain-induced pseudogauge fields. In contrast to conventional Landau quantisation, the PLLs exhibit explicit momentum-dependence by being dispersive, leading to finite longitudinal group-velocities. We analyse the transport properties within the semiclassical Boltzmann framework by computing the electrical, thermoelectric, and thermal response in the linear regime, which acquire nonzero longitudinal components. We also check the validity of the Mott relation and Wiedemann-Franz law in our system. Our results provide a unified framework for understanding the interplay between tilted spectrum and structural deformation in affecting quantum transport, and suggest unambiguous experimental signatures in strain-engineered systems.