Superfluid Transport in Quantum Spin Chains

TL;DR

This paper investigates the persistence of spin superfluidity in quantum spin-1/2 chains, revealing topological superconductivity features and resonant spin transmission linked to Majorana zero modes.

Contribution

It demonstrates how classical spin superfluid concepts translate into quantum regimes, connecting topological protection to Majorana modes in a fermionic framework.

Findings

Resonant spin transmission at specific chain lengths

Topological superconductivity analogy in quantum spin chains

Majorana zero modes influence spin transport efficiency

Abstract

Spin superfluids enable long-distance spin transport through classical ferromagnets by developing topologically stable magnetic textures. For small spins at low dimensions, however, the topological protection suffers from strong quantum fluctuations. We study the remanence of spin superfluidity inherited from the classical magnet by considering the two-terminal spin transport through a finite spin-1/2 magnetic chain with planar exchange. By fermionizing the system, we recast the spin-transport problem in terms of quasiparticle transmission through a superconducting region. We show that the topological underpinnings of a semiclassical spin superfluid relate to the topological superconductivity in the fermionic representation. In particular, we find an efficient spin transmission through the magnetic region of a characteristic resonant length, which can be related to the properties of the boundary Majorana zero modes.