Continuum dual theory of the transition in 3D lattice superconductor

TL;DR

This paper rederives a dual theory for 3D lattice superconductors, analyzes its predictions near the transition, and discusses discrepancies with traditional Ginzburg-Landau results, highlighting the universal behavior of superfluid density.

Contribution

It introduces a continuum dual theory derived from lattice electrodynamics and examines its implications for the superconductor transition using renormalization group methods.

Findings

Superfluid density vanishes as inverse correlation length near transition

Universal amplitude linked to dual charge fixed point

Predicted magnetic penetration depth diverges with XY exponent

Abstract

A recently proposed form of dual theory for the three dimensional superconductor is rederived starting from the lattice electrodynamics and studied by renormalization group. The superfluid density below and close to the transition vanishes as inverse of the correlation length of the disorder field. The corresponding universal amplitude is given by the fixed point value of the dual charge, and it is calculated to the leading order. The continuum dual theory predicts the divergence of the magnetic field penetration depth with the XY exponent, in contradiction to the results obtained from the Ginzburg-Landau theory for the superconducting order-parameter. Possible reasons for this difference are discussed.