Tranverse magnetic field distribution in the vortex state of noncentrosymmetric superconductor with O symmetry

TL;DR

This paper predicts a transverse magnetic field distribution in the vortex state of noncentrosymmetric superconductors with O symmetry, relevant for muon-spin-rotation experiments.

Contribution

It introduces a theoretical model for magnetic field distribution in noncentrosymmetric superconductors with O symmetry, highlighting the presence of transverse fields in the vortex state.

Findings

Prediction of a local transverse magnetic field in the vortex state.

Derivation of the probability distribution for the transverse field.

Application to muon-spin-rotation measurement interpretation.

Abstract

We investigate the magnetic field distribution inside a Type II superconductor which has point group symmetry $O$ such as Li$_2$Pt$_3$B. The absence of inversion symmetry as a departure from perfect cubic group $O_h$ causes a magnetization collinear with the phase gradient associated with the order parameter, and a component of current collinear with the local magnetic field. In the vortex state, we predict, by solving the Maxwell equation, a local magnetic field transverse to the vortex lines. The probability distribution of this transverse field is also obtained for the prospective muon-spin-rotation measurements.