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.
- Many electron systems
- charge and spin density waves
- higher dimensions
- symmetry breaking
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Condensed Matter Physics