We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

We study electronic instabilities of a kagome metal with a Fermi energy close to saddle
points at the hexagonal Brillouin zone face centers. Using parquet renormalization group …

A bstract We develop new tools for isolating CFTs using the numerical bootstrap. A “cutting
surface” algorithm for scanning OPE coefficients makes it possible to find islands in high …

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

We present the perturbative renormalization group functions of O (n)-symmetric ϕ 4 theory in
4-2 ϵ dimensions to the sixth loop order in the minimal subtraction scheme. In addition, we …

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 …

We present the critical theory of a number of zero-temperature phase transitions of quantum
antiferromagnets and interacting boson systems in two dimensions. The most important …

This book explains in detail how to perform perturbation expansions in quantum field theory
to high orders, and how to extract the critical properties of the theory from the resulting …

We improve the theoretical estimates of the critical exponents for the three-dimensional
Heisenberg universality class. We find γ= 1.3960 (9), ν= 0.7112 (5), η= 0.0375 (5), α …