Topological nonlinear anomalous Nernst effect in strained transition metal dichalcogenides

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