Article Dans Une Revue Physical Review B Année : 2016

Hydrodynamic theory of quantum fluctuating superconductivity

Résumé

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.

Dates et versions

hal-01554100 , version 1 (03-07-2017)

Identifiants

Citer

Richard A. Davison, Luca V. Delacrétaz, Blaise Goutéraux, Sean A. Hartnoll. Hydrodynamic theory of quantum fluctuating superconductivity. Physical Review B, 2016, 94 (5), pp.054502. ⟨10.1103/PhysRevB.94.054502⟩. ⟨hal-01554100⟩
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