With the rapid development of topological states in crystals, the study of topological states
has been extended to quasicrystals in recent years. In this review, we summarize the recent …

Recent theoretical and numerical evidence suggests that localization can survive in
disordered many-body systems with very high energy density, provided that interactions are …

Topological insulators and topological superconductors are distinguished by their bulk
phase transitions and gapless states at a sharp boundary with the vacuum. Quasicrystals …

We present a unified study of the effect of periodic, quasiperiodic, and disordered potentials
on topological phases that are characterized by Majorana end modes in one-dimensional p …

We present a comprehensive study of two of the most experimentally relevant extensions of
Kitaev's spinless model of a one-dimensional p-wave superconductor: those involving (i) …

The search for artificial topological superconductivity has been limited by the stringent
conditions required for its emergence. As exemplified by the recent discoveries of various …

We study the competition of disorder and superconductivity for a one-dimensional p-wave
super<? format?> conductor in incommensurate potentials. With the increase in the strength …

We present evidence for Majorana edge states in a number conserving theory describing a
system of spinless fermions on two wires that are coupled by pair hopping. Our analysis is …

We investigate the topology and localization of one-dimensional Hermitian and non-
Hermitian Su-Schrieffer-Heeger chains with quasiperiodic hopping modulations. In the …

We study the Majorana modes, both equilibrium and Floquet, which can appear at the edges
of the Kitaev model on the honeycomb lattice. We first present the analytical solutions known …