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Electric field controlled nonlinear anomalous Nernst effect in two-dimensional time-reversal symmetric systems

Ying-Li Wu and Xiao-Qin Yu*

  • *Contact author: yuxiaoqin@hnu.edu.cn

Phys. Rev. B 114, 245425 – Published 30 October, 2026

DOI: https://doi.org/10.1103/b8np-tryj

Abstract

It is established that the nonlinear anomalous Nernst effect (NANE), originating from Berry curvature near the Fermi energy, is symmetry-permitted only when the crystal symmetry in the transport plane of two-dimensional (2D) materials does not exceed a single mirror line. Here, we show that an applied direct electric field can lift this symmetry constraint, enabling an electric-field-induced NANE to emerge in time-reversal symmetric 2D systems with higher crystallographic symmetries. This electric-field-induced NANE originates from two contributions: the Berry connection polarization, which roots in the electric-field-corrected Berry curvature, and the anomalous-velocity-modified nonequilibrium Fermi distribution function. Additionally, we propose an alternating temperature gradient as a driving force instead of the conventional steady one, ensuring experimental detection of NANE via second-harmonic measurement techniques. The behavior of electric-field-induced NANE in the monolayer graphene has been theoretically and systematically investigated.

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