论文标题
拓扑绝缘子狄拉克模型中的不对称传输计算
Asymmetric transport computations in Dirac models of topological insulators
论文作者
论文摘要
本文提出了一种快速算法，用于计算带有线性域壁的二维狄拉克操作员的传输性能，该二维操作员在分隔两个二维拓扑绝缘子的界面上观察到了可靠和不对称转运的宏观行为。我们的方法基于将部分微分方程重新划分为相应的体积积分方程，我们通过光谱离散方案求解。 我们通过确认沿界面的适当界面电导率传输不对称的量化方法来证明我们的方法的准确性，然后证实该数量对局部扰动免疫。我们还计算了这种扰动产生的远场散射矩阵，并验证虽然不对称转运在拓扑上受到了保护，但没有后散射的情况并非如此。
This paper presents a fast algorithm for computing transport properties of two-dimensional Dirac operators with linear domain walls, which model the macroscopic behavior of the robust and asymmetric transport observed at an interface separating two two-dimensional topological insulators. Our method is based on reformulating the partial differential equation as a corresponding volume integral equation, which we solve via a spectral discretization scheme. We demonstrate the accuracy of our method by confirming the quantization of an appropriate interface conductivity modeling transport asymmetry along the interface, and moreover confirm that this quantity is immune to local perturbations. We also compute the far-field scattering matrix generated by such perturbations and verify that while asymmetric transport is topologically protected the absence of back-scattering is not.
