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 …

Topological insulators are new states of quantum matter which cannot be adiabatically
connected to conventional insulators and semiconductors. They are characterized by a full …

We complete a classification of topological phases and their topological defects in crystalline
insulators and superconductors. We consider topological phases and defects described by …

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 …

We study a one-dimensional wire with strong Rashba and Dresselhaus spin-orbit coupling
(SOC), which supports Majorana fermions when subject to a Zeeman magnetic field and in …

We theoretically study a possible topological superconductivity in the interacting two layers
of Rashba systems, which can be fabricated by the heterostructures of semiconductors and …

In this work, we find that Majorana fermions induce selective equal spin Andreev reflections
(SESARs), in which incoming electrons with certain spin polarization in the lead are …

In this article, we give a comprehensive review of recent progress in research on symmetry-
protected topological superfluids and topological crystalline superconductors, and their …