Little-Parks oscillation and ${\bf d}$-vector texture in spin-triplet superconducting rings with bias current

TL;DR

This paper theoretically studies how the critical bias current in spin-triplet superconducting rings oscillates with magnetic flux, revealing a connection to Little-Parks oscillations and ${f d}$-vector textures.

Contribution

It introduces a theoretical framework showing the interplay between Little-Parks oscillations and ${f d}$-vector textures in spin-triplet superconducting rings under bias current.

Findings

Critical bias current exhibits Little-Parks oscillation with magnetic flux.

${f d}$-vector rotates to increase $j_c$, forming a texture.

Implications for experimental detection of ${f d}$-vector textures.

Abstract

We theoretically investigate the critical bias current $j_c$ for a superconducting (SC) ring in a magnetic field. Based on the Ginzburg-Landau theory, we show that $j_c$ exhibits a Little-Parks (LP) oscillation as a function of the magnetic flux passing through the ring, similarly to the LP oscillation in the SC transition temperature. It is also found that for a spin-triplet SC ring, the ${\bf d}$-vector rotates to yield a larger $j_c$, forming a texture along the circumference of the ring. Experimental implications of our result are discussed.