Aslamazov Larkin Conductivity in Weyl Semimetals

TL;DR

This paper calculates the Aslamazov-Larkin conductivity in Weyl semimetals, revealing its dependence on tilt parameters and dimensionality, and compares theoretical results with experimental data on layered HfTe5.

Contribution

It provides a detailed theoretical analysis of ALC in Weyl semimetals across different dimensions and phases, linking results to experimental observations.

Findings

ALC depends strongly on tilt parameter in Weyl semimetals.

In 3D and 2D, ALC slightly varies with tilt in Type-I and increases in Type-II.

In 1D, ALC decreases to zero near the phase boundary.

Abstract

The Aslamazov-Larkin conductivity (ALC) in the Weyl semi-metals is calculated both for Type-I and Type II for different dimensionality and magnetic fields. The ALC strongly depends on the tilt parameter of the dispersion relation cone. While the 3D and 2D the Aslamazov -Larkin conductivity slightly depends on tilt parameter in Type-I phase and increases in the Type-II phase the 1D ALC decreases in Type-I phase up to zero close to border between Type-I and Type-II phases. Results are discussed in light of the resent experiments on the layered HfTe5 Weyl semi-metals. It is concluded the one dimensional AL conductivity well explained the experimental data.