Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice

Carr, Sam T. and Quintanilla, Jorge and Betouras, Joseph J. (2010) Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice. Physical Review B: Condensed Matter and Materials Physics, 82 (4). 045110 -1. ISSN 0163-1829. (Full text available)

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http://dx.doi.org/10.1103/PhysRevB.82.045110

Abstract

We consider a two-dimensional model of noninteracting chains of spinless fermions weakly coupled via a small interchain hopping and a repulsive interchain interaction. The phase diagram of this model has a surprising feature: an abrupt change in the Fermi surface as the interaction is increased. We study in detail this metanematic transition and show that the well-known 21/2-order Lifshitz transition is the critical end point of this first-order quantum phase transition. Furthermore, in the vicinity of the end point, the order parameter has a nonperturbative BCS-type form. We also study a competing crystallization transition in this model and derive the full phase diagram. This physics can be demonstrated experimentally in dipolar ultracold atomic or molecular gases. In the presence of a harmonic trap, it manifests itself as a sharp jump in the density profile.

Item Type: Article
Subjects: Q Science > QC Physics
Divisions: Faculties > Science Technology and Medical Studies > School of Physical Sciences > Functional Materials Group
Depositing User: Jorge Quintanilla
Date Deposited: 15 Jun 2011 22:24
Last Modified: 07 May 2014 10:56
Resource URI: http://kar.kent.ac.uk/id/eprint/27913 (The current URI for this page, for reference purposes)

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