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Strong-Coupling Effects on Specific Heat in the BCS–BEC Crossover

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Abstract

We theoretically investigate strong-coupling effects on specific heat at constant volume \(C_{\mathrm{V}}\) in a superfluid Fermi gas with a tunable interaction associated with Feshbach resonance. Including fluctuations of the superfluid order parameter within the strong-coupling theory developed by Nozières and Schmitt-Rink, we calculate the temperature dependence of \(C_{\mathrm{V}}\) at the unitarity limit in the superfluid phase. We show that, in the low-temperature region, \(T^3\)-behavior is shown in the temperature dependence of \(C_{\mathrm{V}}\). This result indicates that the low-lying excitations are dominated by the gapless Goldstone mode, associated with the phase fluctuations of the superfluid order parameter. Since the Goldstone mode is one of the most fundamental phenomena in the Fermionic superfluidity, our results are useful for further understanding how the pairing fluctuations affect physical properties in the BCS–BEC crossover physics below the superfluid transition temperature.

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Acknowledgements

This work was supported by KiPAS project in Keio University. DI was supported by Grant-in-aid for Scientific Research from JSPS in Japan (No. JP16K17773). YO was supported by Grant-in-aid for Scientific Research from MEXT and JSPS in Japan (Nos. JP18K11345, JP18H05406, JP16K05503).

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Correspondence to Daisuke Inotani.

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Inotani, D., van Wyk, P. & Ohashi, Y. Strong-Coupling Effects on Specific Heat in the BCS–BEC Crossover. J Low Temp Phys 196, 111–118 (2019). https://doi.org/10.1007/s10909-019-02194-7

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  • DOI: https://doi.org/10.1007/s10909-019-02194-7

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