标题： 拓扑绝缘体中破坏洛伦兹对称性和韦德曼-弗朗茨定律的违反 显示英文标题

标题： Broken Lorentz symmetry and violation of the Wiedemann-Franz law in topological insulators

摘要： 我们研究了在静态非均匀引力场存在下的二维拓扑绝缘体，该引力场模拟了温度分布的变化。 我们推导了引力场的有效边界自由能泛函，并表明与质量狄拉克费米子的情况相反，添加一个牛顿质量项会显著改变系统的量子反常行为。 出现了非零的体热电流，这违反了韦德曼-弗朗茨定律。 我们开发的系统方法可以很容易地扩展到其他模型，以计算边缘态对热霍尔电导率和能量磁化的贡献。 显示英文摘要

摘要： We study a two-dimensional topological insulator in the presence of a static non-uniform gravitational field, which mimics the variations in the temperature distribution. We derive an effective boundary free energy functional for the gravitational field and show that, in contrast to the case of massive Dirac fermions, the addition of a Newtonian mass term significantly modifies the quantum anomalous behavior of the system. A non-zero bulk thermal current appears, which violates the Wiedemann-Franz law. The systematic approach we develop to calculate the contribution of edge states to thermal Hall conductivity and energy magnetization can easily be extended to other models.