A hallmark of the phase diagrams of quantum materials is the existence of multiple
electronic ordered states, which, in many cases, are not independent competing phases, but …

This article reviews, from a very personal point of view, the origins and the early work on
transitions driven by topological defects such as vortices in the two dimensional planar rotor …

Theoretical physics deals with physical models. The main requirements for a good physical
model are simplicity and universality. Universal models which can be applied to describe a …

Magnetism plays a key role in modern science and technology, but still many open
questions arise from the interplay of magnetic many-body interactions. Deeper insight into …

This work aims at determining whether artificial intelligence can recognize a phase transition
without prior human knowledge. If this were successful, it could be applied to, for instance …

We discuss the nature and sequence of phase transitions in two-dimensional systems with
continuous degeneracy, in which other factors must be taken into account in addition to the …

A general framework is proposed to solve the two-dimensional (2D) fully frustrated XY model
for the Josephson junction arrays in a perpendicular magnetic field. The essential idea is to …

Recent experiments in optimally hole-doped iron arsenides have revealed a novel
magnetically ordered ground state that preserves tetragonal symmetry, consistent with either …

In this work, we apply a principal component analysis (PCA) method with a kernel trick to
study the classification of phases and phase transitions in classical XY models of frustrated …

The nonequilibrium relaxation (NER) method is a numerical technique to analyse
equilibrium phase transitions. One can estimate the transition point and critical exponents …