Quantum Interference Transport in two-dimensional Semi-Dirac Semimetals

TL;DR

This paper investigates the quantum interference effects and transport properties of semi-Dirac semimetals, revealing weak localization, skew-scattering contributions to Hall conductivity, and conductance fluctuations, providing theoretical predictions for low-temperature experiments.

Contribution

It offers a comprehensive theoretical analysis of quantum interference and transport phenomena in semi-Dirac semimetals, including magneto-conductivity and conductance fluctuations, using Feynman diagrammatic perturbation theory.

Findings

Demonstrates weak localization in semi-Dirac semimetals.

Identifies skew-scattering as the source of anomalous Hall conductivity.

Analyzes conductance fluctuations in mesoscopic and diffusive regimes.

Abstract

Semi-Dirac semimetals have received enthusiastic research both theoretically and experimentally in the recent years. Due to the anisotropic dispersion, its physical properties are highly direction-dependent. In this work we employ the Feynman diagrammatic perturbation theory to study the transport properties in quantum diffusive regime. The magneto-conductivity with quantum interference corrections is derived, which demonstrate the weak localization effect in the semi-Dirac semimetal. Furthermore, the origin of anomalous Hall conductivity is also clarified, where both the intrinsic and side-jump contributions vanish and only the skew-scattering gives rise to non-zero transverse conductivity. The conductance fluctuations in both mesoscopic and quantum diffusive regimes are investigated in detail. Our work provides theoretical predictions for transport experiments, which can be examined by conductivity measurements at sufficiently low temperature.