This is a partly non-technical introduction to selected topics on tensor network methods,
based on several lectures and introductory seminars given on the subject. It should be a …

Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

NATURE abounds with phase transitions. The boiling and freezing of water are everyday
examples of phase transitions, as are more exotic processes such as superconductivity and …

What are topological phases of matter? First, they are phases of matter at zero temperature.
Second, they have a nonzero energy gap for the excitations above the ground state. Third …

Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

A comprehensive overview of holographic methods in quantum matter, written by pioneers
in the field. This book, written by pioneers in the field, offers a comprehensive overview of …

This review discusses instabilities of the Fermi-liquid state of conduction electrons in metals
with particular emphasis on magnetic quantum critical points. Both existing theoretical …

These notes are loosely based on lectures given at the CERN Winter School on
Supergravity, Strings and Gauge theories, February 2009, and at the IPM String School in …

Decoherence inevitably happens when a quantum state is exposed to its environment,
which can affect quantum critical points (QCPs) in a nontrivial way. As was pointed out in the …

Phase transitions in a non-perturbative regime can be studied by ab initio Lattice Field
Theory methods. The status and future research directions for LFT investigations of Quantum …