Hydrodynamic theory of quantum fluctuating superconductivity

Richard A. Davison; Luca V. Delacrétaz; Blaise Goutéraux; Sean A. Hartnoll

doi:10.1103/PhysRevB.94.054502

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Hydrodynamic theory of quantum fluctuating superconductivity

Richard A. Davison, Luca V. Delacrétaz, Blaise Goutéraux, Sean A. Hartnoll

DOI 10.1103/PhysRevB.94.054502 · Physical Review B

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Abstract

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.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
La2-xSrxCuO2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
InOx Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
(BEDT-TTF)2Cu[N(CN)2]Cl1-xBrx Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
(BEDT-TTF)2Cu(NCS)2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown