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Title: A holographic model for pseudogap in BCS–BEC crossover (I): Pairing fluctuations, double-trace deformation and dynamics of bulk bosonic fluid

Abstract

We build a holographic model for the pairing fluctuation pseudogap phase in fermionic high temperature superconductivity/superfluidity based on the BCS–BEC crossover scenario. The pseudogap originates from incoherent Cooper pairing and has been observed in recent cold atom experiments. The strength of Cooper pairing and hence the BCS–BEC crossover is controlled by an effective 4-Fermi interaction and we argue that the double-trace deformation for charged scalar operator is a close analog in large N field theories. We employ the double-trace deformed Abelian Higgs model of holographic superconductors and propose that the incoherent fluctuations of the charged scalar in the bulk is the holographic dual of the fluctuating Cooper pairs. Using a Madelung transformation and the velocity-potential formalism, we develop a quantum fluid dynamics as an effective theory for these bulk fluctuations. The new fluid dynamics takes care of the boundary conditions required by AdS/CFT and encodes the vacuum polarization effect in curved spacetime. The pseudogap in conductivity can be related to the plasma oscillation of this bulk fluid.

Authors:
; ;  [1]
  1. Department of Physics, 390 UCB, University of Colorado, Boulder, CO 80309 (United States)
Publication Date:
OSTI Identifier:
22848514
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 387; Other Information: © 2017 Elsevier Inc. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTI DE SITTER SPACE; BCS THEORY; BOSE-EINSTEIN CONDENSATION; COOPER PAIRS; FERMI INTERACTIONS; FLUID MECHANICS; HIGGS BOSONS; HIGGS MODEL; PLASMA WAVES; QUANTUM FIELD THEORY; QUANTUM FLUIDS; SIMULATION; SUPERCONDUCTIVITY; SUPERFLUIDITY

Citation Formats

DeWolfe, Oliver, Henriksson, Oscar, and Wu, Chaolun. A holographic model for pseudogap in BCS–BEC crossover (I): Pairing fluctuations, double-trace deformation and dynamics of bulk bosonic fluid. United States: N. p., 2017. Web. doi:10.1016/J.AOP.2017.10.001.
DeWolfe, Oliver, Henriksson, Oscar, & Wu, Chaolun. A holographic model for pseudogap in BCS–BEC crossover (I): Pairing fluctuations, double-trace deformation and dynamics of bulk bosonic fluid. United States. https://doi.org/10.1016/J.AOP.2017.10.001
DeWolfe, Oliver, Henriksson, Oscar, and Wu, Chaolun. Fri . "A holographic model for pseudogap in BCS–BEC crossover (I): Pairing fluctuations, double-trace deformation and dynamics of bulk bosonic fluid". United States. https://doi.org/10.1016/J.AOP.2017.10.001.
@article{osti_22848514,
title = {A holographic model for pseudogap in BCS–BEC crossover (I): Pairing fluctuations, double-trace deformation and dynamics of bulk bosonic fluid},
author = {DeWolfe, Oliver and Henriksson, Oscar and Wu, Chaolun},
abstractNote = {We build a holographic model for the pairing fluctuation pseudogap phase in fermionic high temperature superconductivity/superfluidity based on the BCS–BEC crossover scenario. The pseudogap originates from incoherent Cooper pairing and has been observed in recent cold atom experiments. The strength of Cooper pairing and hence the BCS–BEC crossover is controlled by an effective 4-Fermi interaction and we argue that the double-trace deformation for charged scalar operator is a close analog in large N field theories. We employ the double-trace deformed Abelian Higgs model of holographic superconductors and propose that the incoherent fluctuations of the charged scalar in the bulk is the holographic dual of the fluctuating Cooper pairs. Using a Madelung transformation and the velocity-potential formalism, we develop a quantum fluid dynamics as an effective theory for these bulk fluctuations. The new fluid dynamics takes care of the boundary conditions required by AdS/CFT and encodes the vacuum polarization effect in curved spacetime. The pseudogap in conductivity can be related to the plasma oscillation of this bulk fluid.},
doi = {10.1016/J.AOP.2017.10.001},
url = {https://www.osti.gov/biblio/22848514}, journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = ,
volume = 387,
place = {United States},
year = {2017},
month = {12}
}