Disorder version of the Abelian Higgs model and the order of the superconductive phase transition

@article{Kleinert1982DisorderVO,
title={Disorder version of the Abelian Higgs model and the order of the superconductive phase transition},
author={Hagen Kleinert},
journal={Lettere al Nuovo Cimento (1971-1985)},
year={1982},
volume={35},
pages={405-412}
}

SummaryWe transform the Abelian Higgs model in three dimensions (i.e. the Grinzburg-Landau theory) to a disorder field theory. The new fields describe the grand canonical ensemble of vortex lines in the superconductor and take a nonzero expectation in the normal state (signalizing their proliferation). The disorder theory allows for a simple determination of the tricritical point where the second-order phase transition changes to first. This happens for a Grinzburg-Landau parameter (= ratio of… Expand

The dual approach to the Ginzburg-Landau theory of a Bardeen-Cooper-Schrieffer superconductor is reviewed. The dual theory describes a grand canonical ensemble of fluctuating closed magnetic… Expand

We make a connection between quantum phase transitions in condensed matter systems, and supersymmetric gauge theories that are of interest in the particle physics literature. In particular, we point… Expand

Abstract
We investigate the order of the color superconducting phase transition using the functional renormalization group approach. We analyze the Ginzburg-Landau effective theory of color… Expand

The authors study the phase diagram of the finite temperature (2+1) Abelian Higgs model. They observe, for low values of the quartic scalar self-coupling, the existence of three phases separated by… Expand

We study the effect of gapless quasiparticles in a d-wave superconductor on the T=0 end point of the Kosterlitz-Thouless transition line in underdoped high-temperature superconductors. Starting from… Expand