论文标题
非热系统的敏感性
Sensitivity of non-Hermitian systems
论文作者
论文摘要
在分析非炎性系统时，请理解非铁官汉顿人对边界条件的特征值对边界条件的极端敏感性至关重要，因为它显得一般，并且与传统体积边界对应关系的皮肤效应和分解密切相关。在这里，我们描述了一种找到具有任意边界条件的一维单波段模型的特征值的方法。我们在多个系统上使用此方法来找到特征值的分析表达式，这使我们可以期望频谱对边界条件的变化不敏感。通过堆叠一维链，我们使用派生的结果来找到对某些二维系统的不敏感性条件，该系统具有一个周期性的边界条件。通过使用其他方法检测皮肤效应，例如Bloch Hamiltonian的决定因素，这将很难。最后，我们使用这些结果来预测皮肤效应在两个方向上具有开放边界条件的纯粹的二维系统中的（DIS）外观。
Understanding the extreme sensitivity of the eigenvalues of non-Hermitian Hamiltonians to the boundary conditions is of great importance when analyzing non-Hermitian systems, as it appears generically and is intimately connected to the skin effect and the breakdown of the conventional bulk boundary correspondence. Here we describe a method to find the eigenvalues of one-dimensional one-band models with arbitrary boundary conditions. We use this method on several systems to find analytical expressions for the eigenvalues, which give us conditions on the parameter values in the system for when we can expect the spectrum to be insensitive to a change in boundary conditions. By stacking one-dimensional chains, we use the derived results to find corresponding conditions for insensitivity for some two-dimensional systems with periodic boundary conditions in one direction. This would be hard by using other methods to detect skin effect, such as the winding of the determinant of the Bloch Hamiltonian. Finally, we use these results to make predictions about the (dis)appearance of the skin effect in purely two-dimensional systems with open boundary conditions in both directions.
