Localization of electrons in internal frame

Article Type

Research Article

Publication Title

International Journal of Modern Physics B

Abstract

Localization of electrons in the internal frame of reference is well established in one dimension in the presence and absence of Coulomb interaction. We start from quasi-one-dimensional (Q1D) ring and show the possibility of such a transition by going to a regime where it can be shown for electrons that just interact via Fermi statistics. We then give a proof that when the Q1D ring is made infinitely wide, then there will be such a localization even when Coulomb interaction is included. Finally, we also comment on dimensions greater than two.

DOI

10.1142/S0217979215502665

Publication Date

1-30-2016

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