## 40 Years Of Berezinskii–kosterlitz–thouless TheoryOn the 40th anniversary of the Berezinskii-Kosterlitz-Thouless Theory (BKT), this informative volume looks back at some of the developments and achievements and varied physics applications which ensued from the beautiful BKT vortex-unbinding seminal idea.During the last four decades, BKT theory, which is undeniably one of the most important developments in condensed matter and theoretical physics of the second half of the twentieth century, has expanded widely. It has been used and extended from many different theoretical and experimental perspectives. New and unexpected features have been uncovered from the BKT theory. Since its inception, apart from applications in condensed matter physics, the theory has been actively applied in other branches of physics, such as high energy physics, atomic physics, nuclear physics, statistical physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics.An international team of experts, each of whom has left his mark on the developments of this remarkable theory and experimental applications, contribute both historical essays and more detailed current technical and experimental accounts to this volume. These articles highlight the new discoveries from the respective authors' perspectives.This unique volume celebrates the impact over four decades of the BKT theory on modern physics. In addition to the historical perspective provided by Kosterlitz and Thouless's overview, the volume provides a comprehensive description of experimental and theoretical applications and extensions of the BKT theory. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

2 Duality Gauge Symmetries Renormalization Groups and the BKT Transition J V Jose | 69 |

3 BerezinskiiKosterlitzThouless Transition through the Eyes of Duality G Ortiz E Cobanera and Z Nussinov | 93 |

4 The BerezinskiiKosterlitzThouless Transition in Superconductors A M Goldman | 135 |

The Role of the VortexCore Energy L Benfatto C Castellani and T Giamarchi | 161 |

6 The TwoDimensional Fully Frustrated XY Model S Teitel | 201 |

7 Charges and Vortices in Josephson Junction Arrays R Fazio and G Schon | 237 |

8 SuperinsulatorSuperconductor Duality in Two Dimensions and BerezinskiiKosterlitzThouless Transition V M Vinokur and T I Baturina | 255 |

9 BKT Physics with TwoDimensional Atomic Gases Z Hadzibabic and J Dalibard | 297 |

10 Vortex Physics in the Quantum Hall Bilayer H A Fertig and G Murthy | 325 |

349 | |

### Other editions - View all

### Common terms and phrases

algebra approximation atomic behavior BKT physics BKT transition CBKT charge coherence constant Cooper pairs correlation function Coulomb Coulomb gas coupling D. R. Nelson dielectric dipole discussed dislocation disordered domain wall dual effect equation experimental FFXY finite temperature fluctuations free energy frustrated XY model fugacity fully frustrated XY Hamiltonian insulating integration interaction Ising model J. M. Kosterlitz JETP Josephson junction Josephson junction arrays Kosterlitz lattice layer Lett logarithmic low temperatures magnetic field melting merons p-clock model partition function phase angle phase diagram phase transition Phys planar potential quantum regime relation renormalization group resistance result self-dual spin substrate superconducting superconducting films superconductor-insulator transition superfluid density superfluid film superinsulating symmetry TBKT thin films Thouless topological transition temperature tunneling two-dimensional unbinding vector voltage vortex vortex–antivortex pairs vortices XY model zero