Critical viscosity of a fluctuating superconductor

Liao, Yunxiang; Galitski, Victor

doi:10.1103/physrevb.100.060501

Critical viscosity of a fluctuating superconductor

Journal Article · Fri Aug 02 00:00:00 EDT 2019 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.100.060501· OSTI ID:1610589

^[1]; Galitski, Victor ^[2]

Univ. of Maryland, College Park, MD (United States); DOE/OSTI
Univ. of Maryland, College Park, MD (United States)

We consider a fluctuating superconductor in the vicinity of the transition temperature, T_c. The fluctuation shear viscosity is calculated. In two dimensions, the leading correction to viscosity is negative and scales as δη(T) ∝ ln(T–T_c). Critical hydrodynamics of the fluctuating superconductor involves two fluids: a fluid of fluctuating pairs and a quasiparticle fluid of single-electron excitations. The pair viscosity (Aslamazov-Larkin) term is shown to be zero. The (density of states) correction to viscosity of single-electron excitations is negative, which is due to fluctuating pairing that results in a reduction of electron density. Scattering of electrons off of the fluctuations gives rise to an enhanced quasiparticle scattering and another (Maki-Thomson) negative correction to viscosity. Furthermore, our results suggest that fluctuating superconductors provide a promising platform to investigate low-viscosity electronic media and may potentially host fermionic/electronic turbulence. Some experimental probes of two-fluid critical hydrodynamics are proposed such as time-of-flight measurement of turbulent energy cascades in critical cold atom superfluids and magnetic dynamos in three-dimensional fluctuating superconductors.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Maryland, College Park, MD (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0001911

OSTI ID:: 1610589

Alternate ID(s):: OSTI ID: 1546842

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 6 Vol. 100; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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