Non-commutative field theory approach to two-dimensional vortex liquid system

Details Non-commutative field theory approach to two-dimensional vortex liquid system Non-commutative field theory approach to two-dimensional vortex liquid system

2003-02-14

arxiv.org/abs/cond-mat/0302282v2

Journal of Physics A: Mathematical and General 37 (2004) L39-L46

Physics

Condensed Matter

Superconductivity

Add vortex lattice formation, more references, and one author

Scientific paper

10.1088/0305-4470/37/3/L03

We investigate the non-commutative (NC) field theory approach to the vortex liquid system restricted to the lowest Landau level (LLL) approximation. NC field theory effectively takes care of the phase space reduction of the LLL physics in a $\star$-product form and introduces a new gauge invariant form of a quartic potential of the order parameter in the Ginzburg-Landau (GL) free energy. This new quartic interaction coupling term has a non-trivial equivalence relation with that obtained by Br\'ezin, Nelson and Thiaville in the usual GL framework. The consequence of the equivalence is discussed.

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