Longitudinal and transverse dissipation in a simple model for the vortex lattice with screening

TL;DR

This study uses simplified numerical simulations to analyze vortex lattice transport properties in high-temperature superconductors, revealing that many characteristics depend mainly on vortex topology rather than interactions.

Contribution

It demonstrates that a non-interacting model can effectively describe temperature-dependent resistivities in vortex lattices, highlighting the role of topological configuration.

Findings

Resistivity temperature dependence is captured without vortex interactions.

A regime with lost longitudinal coherence but maintained transverse coherence is identified.

The model's predictions align with experimental observations.

Abstract

Transport properties of the vortex lattice in high temperature superconductors are studied using numerical simulations in the case in which the non-local interactions between vortex lines are dismissed. The results obtained for the longitudinal and transverse resistivities in the presence of quenched disorder are compared with the results of experimental measurements and other numerical simulations where the full interaction is considered. This work shows that the dependence on temperature of the resistivities is well described by the model without interactions, thus indicating that many of the transport characteristics of the vortex structure in real materials are mainly a consequence of the topological configuration of the vortex structure only. In addition, for highly anisotropic samples, a regime is obtained where longitudinal coherence is lost at temperatures where transverse coherence is still finite. I discuss the possibility of observing this regime in real samples.