This is a tutorial review on the Potts model aimed at bringing out in an organized fashion the
essential and important properties of the standard Potts model. Emphasis is placed on exact …

For systems with long-range interactions, the two-body potential decays at large distances
as V (r)∼ 1/rα, with α≤ d, where d is the space dimension. Examples are: gravitational …

We apply unsupervised machine learning techniques, mainly principal component analysis
(PCA), to compare and contrast the phase behavior and phase transitions in several …

A bstract We discuss walking behavior in gauge theories and weak first-order phase
transitions in statistical physics. Despite appearing in very different systems (QCD below the …

We propose a lattice-scale two-band generalized Hubbard model as a caricature of the
electronic structure of twisted bilayer graphene. Various possible broken-symmetry phases …

We construct topological defects in two-dimensional classical lattice models and quantum
chains. The defects satisfy local commutation relations guaranteeing that the partition …

This revised and expanded edition of one of the important textbook in statistical physics, is a
graduate level text suitable for students in physics, chemistry, and materials science. After a …

Microscopic random quenched impurities may or may not produce rounding of a first-order
phase transition. We derive a criterion for the appearance of rounding due to local …

Publisher Summary This chapter discusses the systems coupled to two reservoirs of energy
in such a way that there is a steady energy flow through the system. An example is a resistor …

We discuss the realization of superconformal invariance in two dimensional quantum field
theory. The Hilbert space of a superconformal theory splits into two sectors; one a …