Coupled layered superconductor as a system of 2D Coulomb particles of two kinds

TL;DR

This paper models the vortex system in layered superconductors as a Coulomb particle system, revealing a crossover from 3D to 2D behavior without a true phase transition, which has implications for understanding superconductor properties.

Contribution

It presents a novel Coulomb particle representation of the Josephson subsystem in layered superconductors, enabling analysis of thermodynamics and crossover behavior.

Findings

No true phase transition occurs in the model.

System exhibits a crossover from 3D to 2D behavior with temperature.

Thermodynamical properties were derived from the grand partition function.

Abstract

It is shown that the Josephson subsystem of the Lawrence-Doniach model of layered superconductors in the London approximation can be presented as a system with variable number of classical Coulomb particles. This allows us to consider the vortex system of a coupled layered superconductor as the system of these particles and 2D-vortices interacting with each other. The grand partition function of the system was written and transformed into the form of field one. Thermodynamical properties of the model obtained was studied. It is found that there is no a phase transition in the system. Instead of this the model demonstrates the crossover from a low temperature 3D behavior to high temperature 2D one which can look as a phase transition for experimental purposes.