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Hydrodynamic theory of quantum fluctuating superconductivity

机译：量子涨落超导的流体力学理论

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摘要

A hydrodynamic theory of transport in quantum mechanically phase-disordered superconductors is possible when supercurrent relaxation can be treated as a slow process. We obtain general results for the frequency-dependent conductivity of such a regime. With time-reversal invariance, the conductivity is characterized by a Drude-type peak, with width given by the supercurrent relaxation rate. Using the memory matrix formalism, we obtain a formula for this width (and hence also the dc resistivity) when the supercurrent is relaxed by short-range density-density interactions. This leads to an effective field theoretic and fully quantum derivation of a classic result on flux flow resistance. With strong breaking of time-reversal invariance, the optical conductivity exhibits what we call a "hydrodynamic supercyclotron" resonance. We obtain the frequency and decay rate of this resonance for the case of supercurrent relaxation due to an emergent Chern-Simons gauge field. The supercurrent decay rate in this "topologically ordered superfluid vortex liquid" is determined by the conductivities of the normal fluid component, rather than the vortex core.
机译：当将超电流弛豫视为一个缓慢的过程时，量子力学相无序超导体中的输运流体力学理论是可能的。我们获得了这种方案的频率依赖性电导率的一般结果。具有时间反向不变性，电导率由德鲁德型峰表征，宽度由超电流弛豫率给出。使用存储矩阵形式，我们获得了当短程密度-密度相互作用使超电流松弛时，该宽度（以及直流电阻率）的公式。这导致有效的场论和全量子推导，得出关于磁通流阻的经典结果。随着时间反转不变性的强破坏，光导率表现出我们所谓的“流体动力超回旋加速器”共振。对于由于出现的Chern-Simons规范场而引起的超电流松弛情况，我们获得了该共振的频率和衰减率。在这种“拓扑有序的超流体涡旋液体”中的超流衰减率是由正常流体成分而不是涡旋核的电导率确定的。

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  • 来源
    《Physical review》 |2016年第5期|054502.1-054502.19|共19页
  • 作者

    Richard A. Davison; Luca V. Delacretaz; Blaise Gouteraux; Sean A. Hartnoll;

  • 作者单位

    Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA;

    Department of Physics, Stanford University, Stanford, California 94305-4060, USA;

    Department of Physics, Stanford University, Stanford, California 94305-4060, USA,APC, Universite Paris 7, CNRS, CEA, Observatoire de Paris, Sorbonne Paris Cite, F-75205, Paris Cedex 13, France;

    Department of Physics, Stanford University, Stanford, California 94305-4060, USA;

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