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WORLD SCIENTIFIC eBooks

SUPERCONDUCTIVITY AND LOCALIZATION: STATISTICAL MEAN-FIELD APPROACH

Published Feb 1, 2000• 0 citations
Publisher
DOI
10.1142/9789812793911_0003

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Electrons in one-dimensional disordered systems exhibit Anderson localization in the absence of mutual interactions. However the transition is possible between localized and delocalized state as the interaction is turned on. In this paper such interplay between Anderson localization and interactions has been examined for spin dependent Tomonaga model based on the phase Hamiltonian derived by the bosonization of the fermion field. The problem is the extention of the classical impurity pinning of the charge density wave to that of quantum systems with phase variables of not only charge but also spin. The critical value of the interaction constant has been derived by the use of selfconsistent-harmonic approximation to the nonlinearity.
We study a system of non-relativistic two-dimensional spin-1/2 fermions minimally coupled to Chern-Simons and Maxwell gauge fields, at zero temperature. A self-consistent mean field approach leads to a ferromagnetic ground state which nevertheless is also superconducting. We calculate the spin and current correlation functions and show that there is a Meissner effect for weak external magnetic fields, characterised by two penetration lengths. The dispersion relations for the two longitudinal excitations are given. Further, the system supports spin waves which are massless in the absence of electromagnetic fields.