# Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides

## TL;DR

This paper theoretically investigates the nonlinear anomalous Nernst effect in strained transition metal dichalcogenides, revealing a quantum Berry curvature origin and a temperature-dependent transition in the nonlinear Nernst current.

## Contribution

It introduces a theoretical framework for the nonlinear Nernst effect in TMDCs, highlighting the role of Berry curvature and strain-induced inversion symmetry breaking.

## Key findings

- Nonlinear Nernst current arises transverse to temperature gradient in time-reversal-symmetry materials.
- The effect has a quantum origin from Berry curvature near the Fermi surface.
- The temperature dependence of the nonlinear Nernst current transitions from T^{-2} to linear T with increasing temperature.

## Abstract

We theoretically analyze the non-linear anomalous Nernst effect as the second-order response of temperature gradient by using the semiclassical framework of electron dynamics. We find that a non-linear current can be generated transverse to the applied temperature gradient in time-reversal-symmetry materials with broken inversion symmetry. This effect has a quantum origin arising from the Berry curvature of states near the Fermi surface. We discuss the non-linear Nernst effect in transition metal dichalcogenides~(TMDCs) under the application of uniaxial strain. In particular, we predict that under fixed chemical potential in TMDCs, the non-linear Nernst current exhibits a transition from $\textbf{j}^\text{dip}_\text{A}\sim T^{-2}$ temperature dependence in low temperature regime to a linear $T$-dependence in high temperature.