When translational symmetry is broken by bulk disorder, the topological nature of states in topological crystalline systems may change depending on the type of disorder that is applied. In this work, we characterize the phases of a one-dimensional (1D) chain with inversion and chiral symmetries, where every disorder configuration is inversion-symmetric. By using a basis-independent formulation for the inversion topological invariant, chiral winding number, and bulk polarization, we are able to construct phase diagrams for these quantities when disorder is present. We show that unlike the chiral winding number and bulk polarization, the inversion topological invariant can fluctuate when the bulk spectral gap closes at strong disorder. Using the position-space renormalization group, we are able to compare how the inversion topological invariant, chiral winding number and bulk polarization behave at low energies in the strong disorder limit. We show that with inversion symmetry-preserving disorder, the value of the inversion topological invariant is determined by the inversion eigenvalues of the states at the inversion centers, while quantities such as the chiral winding number and the bulk polarization still have contributions from every state throughout the chain. We also show that it is possible to alter the value of the inversion topological invariant in a clean system by occupying additional states at the inversion centers while keeping the bulk polarization fixed. We discuss the implications of our results for topological crystalline phases in higher-dimensional electronic systems, and in ultra-cold atomic systems.
Metallic ground state and glassy transport in single crystalline URh$_2$Ge$_2$: Enhancement of disorder effects in a strongly correlated electron system
本文详细研究了中等无序重费米子系统URh $_2$ Ge $_2$的电子输运性质。对于这种材料，我们发现在一个单一的晶体化合物的玻璃态电子输运。我们推导出的电导率的温度依赖性，并建立通过光学电导率和霍尔效应测量的金属性。电子输运性质的整体行为非常类似于金属玻璃，在低温下额外的轻微自旋无序的贡献。我们认为，这种玻璃态的电子行为在晶体化合物中反映了增强的无序效应的结果，强的电子相关。
Superconductivity in disordered locally noncentrosymmetric materials: an application to CeRh$_2$As$_2$
层状三维中心对称晶体可以表现出非中心对称材料的特性。当每一层都没有反转时，就会发生这种情况，但是当它们结合在一起时，反转对称性就会恢复;因此被命名为局部非中心对称超导体（LNCs）。在LNCS中，杂质和次显性磁场诱导的配对通道的影响仍未被探索。使用一个极小模型，我们检查所有的配对通道，并表明，总是有一个次主导的超导不稳定性，有利于在高磁场，这可以大大改变磁场-温度相图。此外，我们发现，相图响应无序在一个非单调的方式，这可以进行实验验证。我们将这些想法应用到最近公布的CeRh $_2$ As $_2$的两相超导相图。我们确定了两个阶段的单重三重混合奇偶校验态，在低和高领域，分别。此外，我们预测的存在下，两个超导相的平面内磁场在干净的样品，因为高场阶段可能已经到目前为止阻碍了杂质的影响。
Vortex-enhanced photovoltaic current in disordered topological materials
University of Missouri（密苏里大学）；The Ohio State University（俄亥俄州立大学）；Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室）；University of California Santa Cruz（加州大学圣克鲁兹分校）
