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 …

We propose a scaling theory for the many-body localization (MBL) phase transition in one
dimension, building on the idea that it proceeds via a “quantum avalanche.” We argue that …

We study the classical XY (plane rotator) model at the Kosterlitz–Thouless phase transition.
We simulate the model using the single-cluster algorithm on square lattices of a linear size …

Using the tensor renormalization group method based on the higher-order singular value
decomposition, we have studied the thermodynamic properties of the continuous XY model …

We discuss the analytic structure of off-shell correlation functions in Little String Theories
(LSTs) using their description as asymptotically linear dilaton backgrounds of string theory …

We test an improved finite-size scaling method for reliably extracting the critical temperature
T BKT of a Berezinskii–Kosterlitz–Thouless (BKT) transition. Using known single-parameter …

We present a numerical technique employing the density of partition function zeroes (i) to
distinguish between phase transitions of first and higher order,(ii) to examine the crossover …

We propose a two-dimensional hard-core loop-gas model as a way to regularize the
asymptotically free massive continuum quantum field theory that emerges at the Berezinskii …

A finite size scaling theory for the partition function zeroes and thermodynamic functions of O
(N) φ4-theory in four dimensions is derived from renormalization group methods. The …

We propose a series of scaling theories for Kosterlitz-Thouless (KT) phase transitions on the
basis of the hallmark exponential growth of their correlation length. Finite-size scaling, finite …