Vortices and the Ginzburg-Landau phase transition
arXiv:cond-mat/9803221 · doi:10.1016/S0921-4526(98)00457-8
Abstract
The methods for studying the role of vortex loops in the phase transition of the Ginzburg-Landau theory of superconductivity using lattice Monte Carlo simulations are discussed. Gauge-invariant observables that measure the properties of the vortex loop distribution are defined. The exact relations between the lattice and continuum quantities make it possible to extrapolate the results of the simulations to the continuum limit. The relationship between spontaneous symmetry breaking and phase transitions is also reviewed, with an emphasis on the fact that a local symmetry cannot be broken.
14 pages, to appear in the Proceedings of Symposium on Quantum Phenomena at Low Temperatures, Lammi, Finland, 7-11 Jan, 1998. Some parts of the text rewritten
References in corpus (5)
- Lattice-continuum relations for 3d SU(N)+Higgs theories
- Thermodynamics of Gauge-Invariant U(1) Vortices from Lattice Monte Carlo Simulations
- Onsager Loop-Transition and First Order Flux-Line Lattice Melting in High- Superconductors
- Masses and Phase Structure in the Ginzburg-Landau Model
- Three-dimensional U(1) gauge+Higgs theory as an effective theory for finite temperature phase transitions