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 …

There are two prominent applications of the mathematical concept of topology to the physics
of materials: band topology, which classifies different topological insulators and semimetals …

While Hermiticity lies at the heart of quantum mechanics, recent experimental advances in
controlling dissipation have brought about unprecedented flexibility in engineering non …

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

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 …

Realizing topological superconductivity and Majorana zero modes in the laboratory is a
major goal in condensed-matter physics. In this Review, we survey the current status of this …

Majorana fermions are predicted to localize at the edge of a topological superconductor, a
state of matter that can form when a ferromagnetic system is placed in proximity to a …

Majorana fermions are the only fermionic particles that are expected to be their own
antiparticles. Although elementary particles of the Majorana type have not been identified …

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

Majorana fermions (particles that are their own antiparticle) may or may not exist in nature as
elementary building blocks, but in condensed matter they can be constructed out of electron …