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 …

The quantum Hall effect in two-dimensional electron gases involves the flow of topologically
protected dissipationless charge currents along the edges of a sample. Integer or fractional …

One of the intriguing properties characteristic to three-dimensional topological materials is
the topological magnetoelectric phenomena arising from a topological term called the θ …

A Majorana fermion is a fermionic particle that is its own antiparticle. Since the theoretical
discovery by Ettore Majorana in 1937, the exotic particle has long been searched in particle …

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

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

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

The Kitaev quantum spin liquid displays the fractionalization of quantum spins into Majorana
fermions. The emergent Majorana edge current is predicted to manifest itself in the form of a …

From a direct calculation of the anomalous Hall conductivity and an effective
electromagnetic action obtained via Fujikawa's chiral rotation technique, we conclude that …