Higgs mechanism and superconductivity in U(1) lattice gauge theory with dual gauge fields

Details Higgs mechanism and superconductivity in U(1) lattice gauge theory with dual gauge fields Higgs mechanism and superconductivity in U(1) lattice gauge theory with dual gauge fields

2006-06-04

arxiv.org/abs/cond-mat/0606079v1

Nucl.Phys. B764 (2007) 168-182

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 6 figures

Scientific paper

10.1016/j.nuclphysb.2006.12.004

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.

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