Hydrodynamic study of edge spin-vortex excitations of fractional quantum Hall fluid

TL;DR

This paper theoretically investigates edge spin-vortex excitations in fractional quantum Hall fluids using hydrodynamics, revealing universal behaviors and spin-charge interactions that could enable spintronic device applications.

Contribution

It introduces a hydrodynamic model for edge spin-vortex excitations in fractional quantum Hall systems, highlighting the role of spin-charge tuning in coherent spin flipping.

Findings

Simulated excitation dispersions show universal patterns across fractions.

Edge smoothness and spin polarization significantly affect excitation behavior.

Tuning spin-charge interactions enables coherent spin flipping mechanisms.

Abstract

We undertake a theoretical study of edge spin-vortex excitations in fractional quantum Hall fluid. This is done in view of quantised Euler hydrodynamics theory. The dispersions of true excitations for fractions within $0\leq \nu \leq 1$ are simulated which exhibit universal similarities and differences in behaviour. The differences arise from different edge smoothness and spin (pseudo-spin) polarisations, in addition to spin-charge competition. In particular, tuning the spin-charge factor causes coherent spin flipping associated with partial and total polarisations of edge spin-vortices. This observation is tipped as an ideal mechanism for realisation of functional spintronic devices.