40 Years of Berezinskii-Kosterlitz-Thouless TheoryOn the 40th anniversary of the BerezinskiiOCoKosterlitzOCoTho |
Contents
1 Early Work on Defect Driven Phase Transitions J M Kosterlitz and D J Thouless | 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 |
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Common terms and phrases
approximation atomic behavior BKT physics BKT transition Bose gas Bose–Einstein condensation CBKT charge coherence condensate 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 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 renormalization group renormalized 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 trapped tunneling two-dimensional unbinding voltage vortex vortex–antivortex pairs vortices XY model zero