Berezinskii-Kosterlitz-Thouless phase transition from lattice sine-Gordon model

The XY Model and the Berezinskii-Kosterlitz-Thouless Phase Transition

In statistical physics, the XY model in two dimensions provides the paradigmatic example of phase transitions mediated by topological defects (vortices). Over the years, a variety of analytical and numerical methods have been deployed in an attempt to fully understand the nature of its transition, which is of the Berezinskii-Kosterlitz-Thouless type. These met with only limited success until it...

Berezinskii - Kosterlitz - Thouless Transition in Heavy Fermion

Submitted for the MAR13 Meeting of The American Physical Society Berezinskii-Kosterlitz-Thouless Transition in Heavy Fermion Superlattices JIAN-HUANG SHE, Los Alamos National Laboratory, ALEXANDER BALATSKY, Los Alamos National Laboratory and Nordita — We propose an explanation of the superconducting transitions discovered in the heavy fermion superlattices by Mizukami et al. (Nature Physics 7, ...

Introduction to the Berezinskii-Kosterlitz-Thouless Transition

This essay examines the Berezinskii-Kosterlitz-Thousless transition in the two-dimensional XY model. It is an imporant example of phase transitions occuring without an ordered phase or symmetry breaking, and introduced topological ideas into the concerns of condensed matter physicists.

Berezinskii-Kosterlitz Thouless Phase Transition in Superconducting Two Dimensional Triangular Lattice

Berezinskii-Kosterlitz Thouless (BKT) transition is a phase transition on spin vectors at 2 dimensional lattice from bound vortex anti vortex at low temperatures to unpaired vortices and anti-vortices above critical temperature. Those two phases di er in the way their long distance correlations decay, as a power law (at low temperatures) or exponentially above critical temperature. In disordere...

The Kosterlitz-Thouless Phase Transition