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Spin Susceptibility and Effects of Inhomogeneous Strong Pairing Fluctuations in a Trapped Ultracold Fermi Gas

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Abstract

We theoretically investigate magnetic properties of a unitary Fermi gas in a harmonic trap. Including strong pairing fluctuations within the framework of an extended T-matrix approximation, as well as effects of a trap potential within the local density approximation, we calculate the local spin susceptibility \(\chi (T,r)\) above the superfluid phase transition temperature \(T_\mathrm{c}\). We show that the formation of preformed singlet Cooper pairs anomalously suppresses \(\chi (T,r)\) in the trap center near \(T_\mathrm{c}\). We also point out that, in the unitarity limit, the spin-gap temperature in a uniform Fermi gas can be evaluated from the observation of the spatial variation of \(\chi (T,r)\). Since a real ultracold Fermi gas is always in a trap potential, our results would be useful for the study of how this spatial inhomogeneity affects thermodynamic properties of an ultracold Fermi gas in the BCS–BEC crossover region.

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Acknowledgments

We would like to thank T. Kashimura, R. Watanabe, D. Inotani, and P. van Wyk for useful discussions. This work was supported by the KiPAS project in Keio university. H.T. and R.H. were supported by the Japan Society for the Promotion of Science. Y.O was supported by Grant-in-Aid for Scientific Research from MEXT and JSPS in Japan (Nos. 25400418, 15H00840).

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Authors and Affiliations

  1. Department of Physics, Faculty of Science and Technology, Keio University, 3-14-1, Hiyoshi, Kohoku-ku, Yokohama, 223-8522, Japan

    H. Tajima, R. Hanai & Y. Ohashi

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  1. H. Tajima
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  2. R. Hanai
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  3. Y. Ohashi
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Correspondence to H. Tajima.

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Tajima, H., Hanai, R. & Ohashi, Y. Spin Susceptibility and Effects of Inhomogeneous Strong Pairing Fluctuations in a Trapped Ultracold Fermi Gas. J Low Temp Phys 183, 175–182 (2016). https://doi.org/10.1007/s10909-015-1383-x

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  • DOI: https://doi.org/10.1007/s10909-015-1383-x

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