In non-centrosymmetric superconductors, where the crystal structure lacks a centre of
inversion, parity is no longer a good quantum number and an electronic antisymmetric spin …

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

The recent discovery of AV 3 Sb 5 (A= K, Rb, Cs) has uncovered an intriguing arena for
exotic Fermi surface instabilities in a kagome metal. Among them, superconductivity is found …

Topological insulators represent a new quantum state of matter which is characterized by
peculiar edge or surface states that show up due to a topological character of the bulk wave …

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

Spin-triplet topological superconductors should exhibit many unprecedented electronic
properties, including fractionalized electronic states relevant to quantum information …

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

Majorana bound states are quasiparticle excitations localized at the boundaries of a
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …

This article reviews odd-frequency (odd-ω) pairing with a focus on superconducting systems.
Since Berezinskii introduced the concept of odd-frequency order in 1974 it has been viewed …

Topological stability of the edge states is investigated for non-Hermitian systems. We
examine two classes of non-Hermitian Hamiltonians supporting real bulk eigenenergies in …