PIRSA:16080051 Conference Condensed Matter Quantum Fields and Strings

DOI10.48660/16080051

Conference/School: Low Energy Challenges for High Energy Physicists II

(2016). Hydrodynamic theory of quantum fluctuating superconductivity. Perimeter Institute. https://pirsa.org/16080051

Hydrodynamic theory of quantum fluctuating superconductivity. Perimeter Institute, Aug. 26, 2016, https://pirsa.org/16080051 

@misc{ pirsa_PIRSA:16080051,
  doi = {10.48660/16080051},
  url = {https://pirsa.org/16080051},
  author = {},
  keywords = {Condensed Matter, Quantum Fields and Strings},
  language = {en},
  title = {Hydrodynamic theory of quantum fluctuating superconductivity},
  publisher = {Perimeter Institute},
  year = {2016},
  month = {aug},
  note = {PIRSA:16080051 see, \url{https://pirsa.org}}
}

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-like 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 Coulomb interactions. This leads to a new -- 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 component of the liquid. Our work gives a controlled framework for low temperature metallic phases arising from phase-disordered superconductivity.

Resources

Next talk

Related Talks