Thermal fluctuations and disorder effects in vortex lattices

TL;DR

This paper investigates how thermal fluctuations and disorder influence the structure and magnetization of vortex lattices, revealing renormalization effects and characteristic halo formations around Bragg peaks.

Contribution

It introduces a loop expansion method to analyze fluctuation effects and compares theoretical predictions with Monte Carlo results, highlighting new halo features.

Findings

Renormalization of Bragg peak heights

Appearance of saddle-shaped halos around peaks

Disorder effects on magnetization

Abstract

We calculate using loop expansion the effect of fluctuations on the structure function and magnetization of the vortex lattice and compare it with existing MC results. In addition to renormalization of the height of the Bragg peaks of the structure function, there appears a characteristic saddle shape ''halos'' around the peaks. The effect of disorder on magnetization is also calculated. All the infrared divergencies related to soft shear cancel.