ABSTRACT

Disorder effects inevitably exist in realistic samples, manifesting in various physical properties. In this paper, we review the recent progress in understanding the disorder effects on quantum transport and quantum phase transition properties in low-dimensional superconducting and topological systems. As a consequence of the pronounced quantum fluctuation in low-dimensional systems, rare events drastically change the physical characteristics and underlying microscopic transport process in these systems, which are beyond the traditional paradigms. Associating with recent experimental observations, we emphasize the microscopic mechanism for disordered Ising superconductivity, the quantum Griffiths singularity of superconductor metal transition and the discrete scale invariance in topological materials.

摘要

乱序效应不可避免地存在于现实样本中，表现为各种物理性质。在本文中，我们回顾了了解低维超导和拓扑系统中无序效应对量子输运和量子相变性质的最新进展。低维系统中明显的量子涨落的结果是，罕见事件极大地改变了这些系统中的物理特性和潜在的微观传输过程，这超出了传统范式。结合最近的实验观察，我们强调了无序伊辛超导的微观机制，超导体金属跃迁的量子格里菲斯奇异性和拓扑材料中的离散尺度不变性。