Alladi Ramakrishnan Hall

Charge and spin density waves: quasi one dimension to two dimensions

Prosenjit Singha Deo

S.N. Bose National Centre

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.