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arXiv · 2311.06862

Sine-Gordon dynamics in spin transport

A. -M. Visuri
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Abstract

We study spin transport in a one-dimensional finite-length wire connected to fermionic leads. The interacting wire is described by the sine-Gordon model while the leads are either noninteracting or interacting Luttinger liquids. We calculate the spin current driven by a spin bias by solving numerically the classical equation of motion, and we find that the cosine term in the sine-Gordon model gives rise to an oscillating spin current when the spin bias exceeds its critical value. We discuss the results in connection with transport experiments with ultracold atoms.

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A. -M. Visuri. 2023-11-12. Sine-Gordon dynamics in spin transport. https://doi.org/10.1103/physreva.109.053310

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