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

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Kyungsun Moon1, Vincent Pasquier2, Chaiho Rim3 and Joonhyun Yeo4

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LETTER TO THE EDITOR

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 sstarf-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 Brézin, Nelson and Thiaville in the usual GL framework. The consequence of the equivalence is discussed.


PACS

74.25.Qt Vortex lattices, flux pinning, flux creep

74.20.De Phenomenological theories (two-fluid, Ginzburg-Landau, etc.)

MSC

82D55 Superconductors

Subjects

Superconductivity

Dates

Issue 3 (23 January 2004)

Received 10 September 2003

Published 7 January 2004



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