Exact thermodynamics of a planar array of Ginzburg-Landau chains with nn and nnn interactions

TL;DR

This paper derives an exact formula for the free energy of a planar array of Ginzburg-Landau chains with nearest and next-nearest neighbor interactions, analyzing their thermodynamic behavior.

Contribution

It provides the first exact thermodynamic expression for such a system including nnn interactions, showing they do not alter critical behavior.

Findings

Exact free energy expression derived

Critical behavior of specific heat remains unchanged

Next-nearest neighbor interactions do not qualitatively affect phase transition

Abstract

The exact expression of the free energy of a planar array of a Ginzburg-Landau chains with nn and nnn interaction is obtained. The critical behaviour of the specific heat is not qualitatively modified by taking into account the nnn interaction.