We consider heat transport through systems with broken time-reversal symmetry. We apply strong magnetic fields to weakly charged particle systems, where the dynamics are dominated by the Lorentz force and spring forces. The standard momentum conservation is not satisfied and the sound wave disappears depending on the charge structure. We introduce an exactly solvable model and demonstrate the appearance of a new universality class. The absence of sound waves affects the relation between equilibrium correlation and the diverging thermal conductivity in the open system.
Experimental investigation of distributions of the off-diagonal elements of the scattering and the Wigner's $\hat K$ matrices for networks with broken time reversal invariance
我们提出了一个广泛的实验研究的散射矩阵$\hat S$和Wigner的反应$\hat K$ -矩阵的非对角元素的实部和虚部的分布与破缺时间（$T$）反转不变性的开放微波网络。为了打破$T$不变性，应用了微波法拉第循环器。将散射矩阵$\hat S$非对角元实部和虚部的实验分布与超对称随机矩阵理论[A. Nock，S. Kumar，H.- J. Sommers和T. Guhr，Annals of Physics { \bf 342}，103-132（2014）]。此外，我们还证明了实验结果与最近在随机矩阵理论（RMT）的高斯幺正系综框架内得到的Wigner反应$\hat K$ -矩阵的非对角元素实部和虚部分布的预测非常一致[S. B. Fedeli和Y. V. Fyodorov，J. Phys. A：Math. Theor. { \bf 53}，165701（2020）]。这两种理论都包括损耗作为可调参数，因此很好地适应了实验验证。
