The theory of random matrices originated half a century ago as a universal description of the
spectral statistics of atoms and nuclei, dependent only on the presence or absence of …

Motivated by the need to understand and simulate the ubiquitous experimentally observed
zero-bias conductance peaks in superconductor-semiconductor hybrid structures, we …

Recent observations of robust zero-bias quantized conductance plateaus of height 2 e 2/h in
quantum dot-semiconductor-superconductor nanowire heterostructures have been …

We show that a pair of overlap** Majorana bound states (MBSs) forming a partially
separated Andreev bound state (ps-ABS) represents a generic low-energy feature in spin …

We present a unified perspective on symmetry protected topological (SPT) phases in one
dimension and address the open question of what characterizes their phase transitions. In …

We discuss the properties of topologically nontrivial superconducting phases and the
conditions for their realization in condensed matter, the criteria for the appearance of …

We show how Majorana end modes can be generated in a one-dimensional system by
varying some of the parameters in the Hamiltonian periodically in time. The specific model …

We extend the standard Su-Schrieffer-Heeger (SSH) model to include long-range hop**
amplitudes and disorder, and analyze how the electronic and topological properties are …

We show that topology can protect exponentially localized, zero energy edge modes at
critical points between one-dimensional symmetry-protected topological phases. This is …

Identifying topological properties is a major challenge because, by definition, topological
states do not have a local order parameter. While a generic solution to this challenge is not …