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A real space auxiliary field approach to the BCS-BEC crossover

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  • Sabyasachi Tarat
  • Pinaki Majumdar

Abstract

The BCS to BEC crossover in attractive Fermi systems is a prototype of weak to strong coupling evolution in many body physics. While extensive numerical results are available, and several approximate methods have been developed, most of these schemes are unsuccessful in the presence of spatial inhomogeneity. Such situations call for a real space approach that can handle large spatial scales and retain the crucial thermal fluctuations. With this in mind we present comprehensive results of a real space auxiliary field approach to the BCS to BEC crossover in the attractive Hubbard model in two dimensions. The scheme reproduces the Hartree-Fock-Bogoliubov ground state, and leads to a T c scale that agrees with quantum Monte Carlo estimates to within a few percent. We provide results on the T c , amplitude and phase fluctuations, density of states, and the momentum resolved spectral function, over the entire interaction and temperature window. We suggest how the method generalises successfully to the presence of disorder, trapping, and population imbalance. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Sabyasachi Tarat & Pinaki Majumdar, 2015. "A real space auxiliary field approach to the BCS-BEC crossover," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(3), pages 1-10, March.
    • Handle: RePEc:spr:eurphb:v:88:y:2015:i:3:p:1-10:10.1140/epjb/e2015-50284-6
    DOI: 10.1140/epjb/e2015-50284-6
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    Solid State and Materials;

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