NMR relaxation time around a vortex in stripe superconductors

TL;DR

This paper uses Bogoliubov-de Gennes theory to calculate site-dependent NMR relaxation times in vortex states of stripe superconductors, explaining experimental observations of enhanced relaxation rates near vortex cores.

Contribution

It introduces a model incorporating field-induced stripe states to explain local magnetic phenomena around vortices in d-wave superconductors.

Findings

Reproduces the large enhancement of $T_1^{-1}$ observed below $T_c$ at vortex cores.

Provides a unified explanation for NMR, STM, and neutron experimental results.

Supports the existence of field-induced stripe states in vortex regions.

Abstract

Site-dependent NMR relaxation time $T_1({\bf r})$ is calculated in the vortex state using the Bogoliubov-de Gennes theory, taking account of possible "field-induced stripe'' states in which the magnetism arises locally around a vortex core in d-wave superconductivity. The recently observed huge enhancement $T_1^{-1}({\bf r})$ below $T_c$ at a core site in Tl$_2$Ba$_2$CuO$_6$ is explained. The field-induced stripe picture explains consistently other relevant STM and neutron experiments.