Carr, Sam T. and Quintanilla, J. and Betouras, Joseph J. (2010) Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice. Physical Review B, 82 (4). 045110 -1. ISSN 1098-0121. (Full text available)
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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.
|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:||13 Dec 2011 14:24|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/27913 (The current URI for this page, for reference purposes)|
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Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice. (deposited 14 Oct 2010 14:29)
- Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice. (deposited 15 Jun 2011 22:24) [Currently Displayed]