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World Scientific series in 20th century physics

POSSIBILITY OF SUPERCONDUCTIVITY TYPE PHENOMENA IN A ONE-DIMENSIONAL SYSTEM

Yu. A. Bychkov, L. P. Gor’kov, I. E. Dzyaloshinskiǐ

Published Aug 1, 1996• 16 citations
Publisher
DOI
10.1142/9789814317344_0001

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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.