Higgs mechanism and superconductivity in U(1) lattice gauge theory with dual gauge fields
arXiv:cond-mat/0606079 · doi:10.1016/j.nuclphysb.2006.12.004
Abstract
We introduce a U(1) lattice gauge theory with dual gauge fields and study its phase structure. This system is motivated by unconventional superconductors like extended s-wave and d-wave superconductors in the strongly-correlated electron systems. In this theory, the "Cooper-pair" field is put on links of a cubic lattice due to strong on-site repulsion between electrons in contrast to the ordinary s-wave Cooper-pair field on sites. This Cooper-pair field behaves as a gauge field dual to the electromagnetic U(1) gauge field. By Monte Carlo simulations we study this lattice gauge model and find a first-order phase transition from the normal state to the Higgs (superconducting) state. Each gauge field works as a Higgs field for the other gauge field. This mechanism requires no scalar fields in contrast to the ordinary Higgs mechanism.
4 pages, 6 figures
References in corpus (1)
Cited by in corpus (3)
- An Abelian two-Higgs model of strongly correlated electrons: phase structure, strengthening of phase transition and QCD at finite density
- Quantum Phase Transition in Lattice Model of Unconventional Superconductors
- Effects of disorder on lattice Ginzburg-Landau model of d-wave superconductors and superfluids