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 …

The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …

Topological solitons, a class of stable nonlinear excitations, appear in diverse domains as in
the Skyrme model of nuclear forces. Here, we argue that similar excitations play an …

We systematically study topological phases of insulators and superconductors (or
superfluids) in three spatial dimensions. We find that there exist three-dimensional (3D) …

This review presents recent developments in the understanding of how impurities influence
the electronic states in the bulk properties of superconductors. The focus is on …

Graphene—a recently discovered form of graphite only one atomic layer thick—constitutes a
new model system in condensed matter physics, because it is the first material in which …

We consider the relationship between the tight-binding Hamiltonian of the two-dimensional
honeycomb lattice of carbon atoms with nearest neighbor hopping only and the 2+ 1 …

We study the electron transport properties of a monoatomic graphite layer (graphene) with
different types of disorder. We show that the transport properties of the system depend …

During the last few years quantum graphs have become a paradigm of quantum chaos with
applications from spectral statistics to chaotic scattering and wavefunction statistics. In the …

We show that Dirac fermion systems in two dimensions generally exhibit a disorder-induced
nodal arc replacing the nodal point and tilted Dirac cone, provided that the two components …