Quantum impurity models describe an atom or molecule embedded in a host material with
which it can exchange electrons. They are basic to nanoscience as representations of …

The study of nonequilibrium phenomena in correlated lattice systems has developed into
one of the most active and exciting branches of condensed matter physics. This research …

Featuring detailed explanations of the major algorithms used in quantum Monte Carlo
simulations, this is the first textbook of its kind to provide a pedagogical overview of the field …

We consider the Kane-Mele model supplemented by a Hubbard U term. The phase diagram
is mapped out using projective auxiliary field quantum Monte Carlo simulations. The …

In this chapter we will concentrate primarily on world-line methods with loop updates, for
spins and also for spin-phonon systems, as well as on the auxiliary field quantum Monte …

Abstract The Algorithms for Lattice Fermions package provides a general code for the finite-
temperature and projective auxiliary-field quantum Monte Carlo algorithm. The code is …

Recent trends of ab initio studies and progress in methodologies for electronic structure
calculations of strongly correlated electron systems are discussed. The interest for …

The fidelity susceptibility is a general purpose probe of phase transitions. With its origin in
quantum information and in the differential geometry perspective of quantum states, the …

The spontaneous generation of charge-density-wave order in a Dirac fermion system via the
natural mechanism of electron-phonon coupling is studied in the framework of the Holstein …

The two-dimensional Su-Schrieffer-Heeger model of electrons coupled to quantum phonons
is investigated using Langevin dynamics within the framework of auxiliary-field quantum …