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

Carr, S.T., Quintanilla, Jorge, 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. (doi:10.1103/PhysRevB.82.045110) (KAR id:27913)

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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
DOI/Identification number: 10.1103/PhysRevB.82.045110
Uncontrolled keywords: Physics of Quantum Materials
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Q Science > QC Physics
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Depositing User: Sam Carr
Date Deposited: 15 Jun 2011 22:24 UTC
Last Modified: 16 Nov 2021 10:06 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/27913 (The current URI for this page, for reference purposes)

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