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 …

This review describes how topological order associated with the presence of emergent
gauge fields can reconstruct Fermi surfaces of metals, even in the absence of translational …

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 …

The deconfined quantum critical point (DQCP) is an example of phase transitions beyond
the Landau symmetry-breaking paradigm that attracts wide interest. However, its nature has …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

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 …

We examine the spin-S quantum Heisenberg magnet with Gaussian-random, infinite-range
exchange interactions. The quantum-disordered phase is accessed by generalizing to SU …

These lecture notes introduce quantum spin systems and several computational methods for
studying their ground‐state and finite‐temperature properties. Symmetry‐breaking and …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

The theory of second-order phase transitions is one of the foundations of modern statistical
mechanics and condensed-matter theory. A central concept is the observable order …