Semi-vortices and cluster-vorticity: new concepts in the Berezinskii-Kosterlitz-Thouless phase transition

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 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, ...

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...

The Kosterlitz-Thouless Phase Transition

Berezinskii-kosterlitz-thouless Transition in Josephson Junction Arrays

The quantum XY model shows a Berezinskii-Kosterlitz-Thouless (BKT) transition between a phase with quasi long-range order and a disordered one, like the corresponding classical model. The effect of the quantum fluctuations is to weaken the transition and eventually to destroy it. However, in this respect the mechanism of disappearance of the transition is not yet clear. In this work we address ...