Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

This review elaborates pedagogically on the fundamental concept, basic theory, expected
properties, and materials realizations of topological superconductors. The relation between …

Topological superconductors are novel classes of quantum condensed phases,
characterized by topologically nontrivial structures of Cooper pairing states. On the surfaces …

We develop a unified framework to classify topological defects in insulators and
superconductors described by spatially modulated Bloch and Bogoliubov de Gennes …

Superconductivity is a phenomenon where the macroscopic quantum coherence appears
due to the pairing of electrons. This offers a fascinating arena to study the physics of …

Theory of dispersionless Andreev bound states on surfaces of time-reversal-invariant
unconventional superconductors is presented. The generalized criterion for the …

The standard boundary state of a topological insulator in 3+ 1 dimensions has gapless
charged fermions. We present model systems that reproduce this standard gapless …

Dense quantum chromodynamic matter accommodates various kind of topological solitons
such as vortices, domain walls, monopoles, kinks, boojums, and so on. In this review, we …

We consider topological superconductors and topological insulator/superconductor
structures in the presence of multiple static vortices that host Majorana modes and focus on …

We explore the bulk-edge correspondence for topological insulators (superconductors)
without time-reversal symmetry from the viewpoint of the index theorem for open spaces. We …