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Wigner crystallization in two dimensions: Evolution from long-to short-ranged forces

TitleWigner crystallization in two dimensions: Evolution from long-to short-ranged forces
Publication TypeJournal Article
Year of Publication2013
AuthorsB. M. Fregoso, and C. A. R. Sá de Melo
JournalPhys. Rev. B
Volume87
Pagination125109
ISSN1098-0121
KeywordsNo Fellows, visitor collaboration
Abstract

We study fermions in two dimensions interacting via a long-ranged 1/r potential for small particle separations and a short-ranged 1/r(3) potential for larger separations in comparison to a length scale xi. We compute the energy of the Wigner crystal and of the homogeneous Fermi liquid phases using a variational approach, and determined the phase diagram as a function of density and xi at zero temperature. We discuss the collective modes in the Fermi liquid phase, finite temperature effects on the phase diagram, and possible experimental realizations of this model. DOI: 10.1103/PhysRevB.87.125109

DOI10.1103/PhysRevB.87.125109