Static structures of the BCS-like holographic superfluid in AdS4 spacetime

Shanquan Lan, Wenbiao Liu, and Yu Tian
Phys. Rev. D 95, 066013 – Published 22 March 2017

Abstract

We investigate in detail the m2=0 Abelian Higgs model in AdS4, which is considered as the holographic dual of the most BCS-like superfluid. In homogeneous and isotropic superfluid solutions, we calculate the fourth-sound speeds, the square of which approaches 1/2 with increasing chemical potential (lowering temperature). Then we present the single dark soliton solutions, which becomes thinner with increasing chemical potential. For the first time, we also find the interesting double and triple dark soliton solutions, which is unexpected and shows the possibility of more complicated static configurations. Finally, we investigate vortex solutions. For winding number n=1, the vortex becomes thinner with increasing chemical potential. At a given chemical potential, with increasing winding number, first the vortex becomes bigger and the charge density depletion becomes larger, and then the charge density depletion settles down at a certain value and the growth of the vortex size is found to obey a scaling symmetry.

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  • Received 3 September 2016

DOI:https://doi.org/10.1103/PhysRevD.95.066013

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Shanquan Lan* and Wenbiao Liu

  • Department of Physics, Beijing Normal University, Beijing 100875, China

Yu Tian

  • School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China and Shanghai Key Laboratory of High Temperature Superconductors, Shanghai 200444, China

  • *shanquanlan@mail.bnu.edu.cn
  • wbliu@bnu.edu.cn
  • ytian@ucas.ac.cn

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Issue

Vol. 95, Iss. 6 — 15 March 2017

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