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 …

It is commonly believed that a noninteracting disordered electronic system can undergo only
the Anderson metal-insulator transition. It has been suggested, however, that a broad class …

The interplay between non-Hermiticity and disorder gives rise to unique universality classes
of Anderson transitions. Here, we develop a field-theoretical description of non-Hermitian …

A higher-order topological insulator is a new concept of topological states of matter, which is
characterized by the emergent boundary states whose dimensionality is lower by more than …

A global phase diagram of disordered weak and strong topological insulators is established
numerically. As expected, the location of the phase boundaries is renormalized by disorder …

Weyl semimetals are gapless quasitopological materials with a set of isolated nodal points
forming their Fermi surface. They manifest their quasitopological character in a series of …

The topological phase in amorphous systems adds a new dimension to the topological
states of matter. Here, we present an interesting phenomenon dubbed the topological …

Three-dimensional random electron systems undergo quantum phase transitions and show
rich phase diagrams. Examples of the phases are the band gap insulator, Anderson …

We propose the definitions of many-body topological invariants to detect symmetry-protected
topological phases protected by point group symmetry, using partial point group …

Pursuing complementary field-theoretic and numerical methods, we here paint the global
phase diagram of a three-dimensional dirty Weyl system. The generalized Harris criterion …