Recent theoretical work has shown that higher-order moments of the Berry curvature, e.g., Berry curvature quadrupole and hexapole moments, can produce the leading order nonlinear anomalous Hall response (NLAH) in systems with special magnetic point group symmetry. Recent experimental work has reported the observation of the Berry curvature quadrupole-induced third-order NLAH (i.e., Hall voltage proportional to the third power of the external electric field) from cryogenic conditions to room temperature in an epitaxially grown material platform with broken time-reversal symmetry. In this paper, using semiclassical Boltzmann formalism in the relaxation time approximation, we compute the Berry curvature quadrupole-induced nonlinear anomalous thermal Hall and Nernst coefficients in time-reversal broken systems. In systems where Berry curvature monopole and dipole moments vanish by symmetry, our results predict the behavior of the leading order anomalous thermal Hall and Nernst coefficients proportional to the third power of the applied longitudinal temperature gradient. They are guaranteed to exist in systems that have already exhibited the third-order nonlinear anomalous Hall effect in recent experiments.

中文翻译：

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Berry 曲率四极杆在时间反转对称性断开的系统中诱导的非线性异常横向响应


最近的理论工作表明，Berry 曲率的高阶矩，例如 Berry 曲率四极矩和六极矩，可以在具有特殊磁点群对称性的系统中产生超导非线性异常霍尔响应 （NLAH）。最近的实验工作报道了在打破时间反转对称性的外延生长材料平台中，从低温条件到室温观察到 Berry 曲率四极杆诱导的三阶 NLAH（即霍尔电压与外部电场的三次方成正比）。在本文中，在弛豫时间近似中使用半经典玻尔兹曼形式，我们计算了时间反转破碎系统中的 Berry 曲率四极子诱导的非线性异常热霍尔和 Nernst 系数。在 Berry 曲率单极子和偶极矩因对称性而消失的系统中，我们的结果预测了与施加纵向温度梯度的三次方成正比的超导异常热霍尔和 Nernst 系数的行为。可以保证它们存在于最近的实验中已经表现出三阶非线性异常霍尔效应的系统中。