A Holographic Model for Pseudogap in BCS-BEC Crossover (I): Pairing Fluctuations, Double-Trace Deformation and Dynamics of Bulk Bosonic Fluid

TL;DR

This paper develops a holographic model to describe the pseudogap phase in high-temperature superconductors, linking bulk scalar fluctuations to Cooper pair fluctuations via double-trace deformation and quantum fluid dynamics.

Contribution

It introduces a novel holographic approach using double-trace deformation and fluid dynamics to model the pseudogap phase in the BCS-BEC crossover.

Findings

Pseudogap arises from incoherent Cooper pairing.

Bulk scalar fluctuations correspond to fluctuating Cooper pairs.

Pseudogap in conductivity relates to plasma oscillations of the bulk 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.