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

The 1937 theoretical discovery of Majorana fermions—whose defining property is that they
are their own anti-particles—has since impacted diverse problems ranging from neutrino …

We study surface states of topological crystalline insulators and superconductors protected
by inversion symmetry. These fall into the category of “higher-order” topological insulators …

In this review, we discuss recent progress in the explorations of topological materials
beyond topological insulators; specifically, we focus on topological crystalline insulators and …

We introduce two-dimensional topological insulators in proximity to high-temperature
cuprate or iron-based superconductors as high-temperature platforms of Majorana Kramers …

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 …

Bringing magnetic metals into superconducting states represents an important approach for
realizing unconventional superconductors and potentially even topological …

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

A topological superconductor (TSC) is characterized by the topologically protected gapless
surface state that is essentially an Andreev bound state consisting of Majorana fermions …