Recent years have seen remarkable development in open quantum systems effectively
described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological …

Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of
complex dynamics. Utilising a pragmatic, physical approach, this self-contained book …

It is by now well established that Dirac fermions coupled to non-Abelian gauge theories can
undergo an Anderson-type localization transition. This transition affects eigenmodes in the …

Non-Hermiticity can destroy Anderson localization and lead to delocalization even in one
dimension. However, a unified understanding of non-Hermitian delocalization has yet to be …

Great progress has been made in recent years towards understanding the properties of
disordered electronic systems. In part, this is made possible by recent advances in quantum …

This work presents a computational program based on the principles of non-commutative
geometry and showcases several applications to topological insulators. Noncommutative …

We study the Anderson-type transition previously found in the spectrum of the QCD quark
Dirac operator in the high-temperature, quark-gluon plasma phase. Using finite size scaling …

The Landauer formula provides a general scattering formulation of electrical conduction.
Despite its utility, it has been mainly applied to the linear-response regime, and a scattering …

We investigate the Anderson transition found in the spectrum of the Dirac operator of
quantum chromodynamics at high temperature, studying the properties of the critical quark …

We generalize the typical medium dynamical cluster approximation and the local Blackman,
Esterling, and Berk method for systems with off-diagonal disorder. Using our extended …