Field-direction Dependence of Majorana-mediated Spin Transport

TL;DR

This paper investigates how the direction of magnetic fields influences Majorana-mediated spin transport in Kitaev clusters with different edge geometries, using exact diagonalization to analyze spin dynamics.

Contribution

It introduces a detailed analysis of field-direction effects on Majorana spin transport in Kitaev clusters with zigzag and armchair edges, highlighting the role of edge shape and field orientation.

Findings

Field direction significantly affects spin transport behavior.

Edge shape influences the Majorana-mediated spin dynamics.

Magnetic pulsed fields enable control of spin transport.

Abstract

We study the field-direction dependence of the Majorana-mediated spin transport in the Kitaev clusters with zigzag and armchair edges, applying a static magnetic field to one of the edges and a magnetic pulsed field to the other edges. By means of the exact diagonalization method, we calculate the time-evolution of the spin moments in both edge regions to clarify how the directions of two fields and shape of the edges affect the Majorana-mediated spin transport.