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

Sam T. Carr, Jorge Quintanilla, and Joseph J. Betouras
Phys. Rev. B 82, 045110 – Published 15 July 2010

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 212-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.

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  • Received 6 May 2010

DOI:https://doi.org/10.1103/PhysRevB.82.045110

©2010 American Physical Society

Authors & Affiliations

Sam T. Carr1,2, Jorge Quintanilla3,4, and Joseph J. Betouras5

  • 1Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, 76128 Karlsruhe, Germany
  • 2DFG Center for Functional Nanostructures, Karlsruher Institut für Technologie, 76128 Karlsruhe, Germany
  • 3School of Physical Sciences, University of Kent, Canterbury CT2 7NH, United Kingdom
  • 4ISIS Spallation Facility, STFC Rutherford Appleton Laboratory, Harwell Science and Innovation Campus, Didcot OX11 0QX, United Kingdom
  • 5Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom

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Issue

Vol. 82, Iss. 4 — 15 July 2010

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