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Disorder Induced BCS–BEC Crossover in an Ultracold Fermi Gas

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Abstract

We develop the formalism for BCS–BEC crossover in the presence of weak random impurity and calculate the effect of the random potentials on the basic mean-field quantities. The disorder has been included through the Nozières and Schmitt–Rink theory of superconducting fluctuations, and we obtain the disorder induced superfluid order parameter and chemical potential through a self-consistent calculation. We also calculate the condensate fraction which reveals a distinct nonmonotonic behavior. The downturn in the latter result occurs at the crossover regime with gradual depletion on the BEC side. The non-monotonic feature in the condensate fraction data has been measured in clean systems. Motivated by the above result, we discuss the stability of a disordered fermionic superfluid in the crossover regime.

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Acknowledgements

This work is supported by TUBITAK (Grants No. 109T267, 210T050, 209T050) and TUBA. AK acknowledges the visiting program in IISER-Kolkata and P.K. Panigrahi. SB acknowledges DST grant number SR/S2/CMP/0023/2009.

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Authors and Affiliations

  1. Indian Institute of Science Education and Research (IISER) Kolkata, Mohanpur Campus, Nadia, 714252, India

    Ayan Khan

  2. Department of Physics, IIT Guwahati, Guwahati, Assam, 781039, India

    Saurabh Basu

  3. Department of Physics, Bilkent University, Bilkent, 06800, Ankara, Turkey

    B. Tanatar

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  1. Ayan Khan
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  2. Saurabh Basu
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  3. B. Tanatar
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Correspondence to Ayan Khan.

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Khan, A., Basu, S. & Tanatar, B. Disorder Induced BCS–BEC Crossover in an Ultracold Fermi Gas. J Supercond Nov Magn 26, 1891–1895 (2013). https://doi.org/10.1007/s10948-012-1949-7

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  • DOI: https://doi.org/10.1007/s10948-012-1949-7

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