Atomtronics deals with matter-wave circuits of ultracold atoms manipulated through
magnetic or laser-generated guides with different shapes and intensities. In this way, new …

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 …

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

We summarize the properties of eigenvalues and eigenfunctions of the Laplace operator in
bounded Euclidean domains with Dirichlet, Neumann, or Robin boundary condition. We …

Random electron systems show rich phases such as Anderson insulator, diffusive metal,
quantum Hall and quantum anomalous Hall insulators, Weyl semimetal, as well as …

A field theory of the Anderson transition in two-dimensional disordered systems with spin-
orbit interactions and time-reversal symmetry is developed, in which the proliferation of …

We report a careful finite size scaling study of the metal–insulator transition in Anderson's
model of localization. We focus on the estimation of the critical exponent ν that describes the …

An overview of the random network model invented by Chalker and Coddington, and its
generalizations, is provided. After a short introduction into the physics of the Integer …

Non-Hermiticity enriches the tenfold Altland-Zirnbauer symmetry class into the 38-fold
symmetry class, where critical behavior of the Anderson transitions (ATs) has been …

Symmetries associated with complex conjugation and Hermitian conjugation, such as time-
reversal symmetry and pseudo-Hermiticity, have a great impact on the eigenvalue spectra of …