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Finite-temperature quantum fluctuations in two-dimensional Fermi superfluids

机译：二维费米超流体中的有限温度量子涨落

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摘要

In two-dimensional systems with a continuous symmetry, the Mermin-Wagner-Hohenberg theorem precludes spontaneous symmetry breaking and condensation at finite temperature. The Berezinskii-Kosterlitz-Thouless critical temperature marks the transition from a superfluid phase characterized by quasicondensation and algebraic long-range order, to a normal phase in which vortex proliferation completely destroys superfluidity. As opposed to conventional off-diagonal long-range order typical of three-dimensional superfluid systems, algebraic long-range order is driven by quantum and thermal fluctuations strongly enhanced in reduced dimensionality. Motivated by this unique scenario and by the very recent experimental realization of trapped quasi-two-dimensional fermionic clouds, we include one-loop Gaussian fluctuations in the theoretical description of resonant Fermi superfluids in two dimensions demonstrating that first sound, second sound, and also critical temperature are strongly renormalized, away from their mean-field values. In particular, we prove that in the intermediate- and strong-coupling regimes, these quantities are radically different when Gaussian fluctuations are taken into account. Our one-loop theory shows good agreement with very recent experimental data on the Berezinskii-Kosterlitz-Thouless critical temperature [Phys. Rev. Lett. 115, 010401 (2015)] and on the first sound velocity, giving predictions for the second sound as a function of interaction strength and temperature that are open for experimental verification.
机译：在具有连续对称性的二维系统中，Mermin-Wagner-Hohenberg定理排除了在有限温度下自发对称性破裂和凝结的情况。 Berezinskii-Kosterlitz-Thouless临界温度标志着从以准缩合和代数远程序为特征的超流体相过渡到涡旋扩散完全破坏超流体的正常相。与典型的三维超流体系统的常规非对角远距离阶相反，代数的远距离阶由量子和热波动驱动，该波动在减小的维数中得到了显着增强。由于这种独特的情况以及最近被困的准二维费米子云的实验性实现，我们在二维费米共振费米超流体的理论描述中包含了一环高斯涨落，从而证明了第一声音，第二声音以及第二声音。临界温度被强烈地规范化，远离其平均场值。特别是，我们证明了在中耦合和强耦合机制中，当考虑高斯波动时，这些数量是根本不同的。我们的单环理论与最近关于Berezinskii-Kosterlitz-Thouless临界温度的实验数据[Phys。牧师115，010401（2015）]，并根据第一声速，根据交互强度和温度给出第二声的预测，并进行实验验证。

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  • 来源
    《Physical review》 |2016年第1期|014519.1-014519.5|共5页
  • 作者

    G. Bighin; L. Salasnich;

  • 作者单位

    Dipartimento di Fisica e Astronomia 'Galileo Galilei,' Universita di Padova, Via Marzolo 8, 35131 Padova, Italy,Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Via Marzolo 8, 35131 Padova, Italy;

    Dipartimento di Fisica e Astronomia 'Galileo Galilei,' Universita di Padova, Via Marzolo 8, 35131 Padova, Italy,Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia (CNISM), Unita di Padova, Via Marzolo 8, 35131 Padova, Italy;

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