Post Gaussian effective potential in the Ginzburg Landau theory of superconductivity

TL;DR

This paper evaluates the post Gaussian effective potential in the Ginzburg-Landau theory, revealing that higher-order corrections significantly impact the superconducting parameter, while two-dimensional effects are less influential, emphasizing the role of strong correlations in high T_c superconductivity.

Contribution

It introduces the calculation of the post Gaussian effective potential in three dimensions and compares it with the two-dimensional case, highlighting the importance of strong correlations.

Findings

Next order correction to kappa is significant.

Two-dimensionality has a small effect.

Strong correlations dominate in high T_c superconductivity.

Abstract

The post Gaussian effective potential in D=3 dimensions and the Gaussian effective potential in D=2+epsilon are evaluated for the Ginzburg-Landau theory of superconductivity. It is shown that, the next order correction to the Gaussian approximation of the Ginzburg-Landau parameter (kappa) is significant, whereas contribution from the two dimensionality is rather small. This strongly indicates that strong correlation plays a more dominant role than the two dimensionality does in high T_c superconductivity.