The semiclassical theory of anomalous transport in type-II topological Weyl semimetals

TL;DR

This paper develops a semiclassical theory to understand anomalous transport phenomena in type-II Weyl semimetals, emphasizing the role of tilt parameters and temperature-dependent chemical potential in their unique Berry curvature-driven properties.

Contribution

It introduces a semiclassical framework specifically for type-II Weyl semimetals, linking tilt parameters to transverse transport and highlighting temperature effects on Berry curvature.

Findings

Tilt parameter influences zero-field transverse transport.

Temperature-dependent chemical potential affects transport coefficients.

Transport properties can probe Berry curvature in type-II Weyl semimetals.

Abstract

Weyl semimetals possess low energy excitations which act as monopoles of Berry curvature in momentum space. These emergent monopoles are at the heart of the extensive novel transport properties that Weyl semimetals exhibit. The singular nature of the Berry curvature around the nodal points in Weyl semimetals allows for the possibility of large anomalous transport coefficients in zero applied magnetic field. Recently a new class, termed type-II Weyl semimetals, has been demonstrated in a variety of materials, where the Weyl nodes are tilted. We present here a study of anomalous transport in this new class of Weyl semimetals. We find that the parameter governing the tilt of these type-II Weyl points is intimately related to the zero field transverse transport properties. We also find that the temperature dependence of the chemical potential plays an important role in determining how the transport coefficients can effectively probe the Berry curvature of the type-II Weyl points. We also discuss the experimental implications of our work for time-reversal breaking type-II Weyl semimetals.