A Hydrodynamic Approach to Superconductivity

TL;DR

This paper applies a hydrodynamic formulation to analyze strong coupling superconductors, aiming to identify signatures of a superconducting gap through electron Green functions and density of states calculations.

Contribution

It introduces a hydrodynamic approach to study superconductivity, providing an alternative to the renormalization group method for analyzing strong coupling regimes.

Findings

Computed the electron Green function at finite temperature.

Extracted the dynamical density of states to identify a gap.

Provided insights into the superconducting state without assuming broken symmetry.

Abstract

Recently Tsai et.al. (cond-mat/0406174) have used the renormalization group approach to study strong coupling superconductors without assuming a broken symmetry phase. We use the hydrodynamic formulation to study the same problem with the same intention. We recast the electron-phonon + electron-electron problem in the hydrodynamic language and compute the one-particle electron Green function at finite temperature. From this we extract the dynamical density of states at finite temperature and look for sign of a gap.