Temperature dependence of spin currents in one- and three-dimensional insulators

TL;DR

This paper theoretically investigates how spin currents in one- and three-dimensional insulators depend on temperature near zero Kelvin, focusing on quasiparticle contributions from Jordan-Wigner fermions and magnons.

Contribution

It provides a theoretical analysis of temperature effects on spin currents in insulators, highlighting the different behaviors of Jordan-Wigner fermions and magnons in low-dimensional systems.

Findings

Spin currents depend strongly on temperature in one-dimensional insulators.

Jordan-Wigner fermions show a stronger temperature dependence than magnons.

Quasiparticle descriptions are valid only near zero Kelvin for one-dimensional systems.

Abstract

The temperature dependence of spin currents in insulators at the finite temperature near zero Kelvin is theoretically studied. The spin currents are carried by Jordan-Wigner fermions and magnons in one- and three- dimensional insulators. The quasiparticle description of one-dimensional spin systems is valid only in the finite temperature near zero Kelvin. These spin currents are generated by the external magnetic field gradient along the quantization axis and also by the two-particle interaction gradient. In one-dimensional insulators, quantum fluctuations are strong and the spin current carried by Jordan-Wigner fermions shows the stronger dependence on temperatures than the one by magnons.