Integer effects in the entanglement and spin fluctuations of a quantum Hall system with Rashba interactions

TL;DR

This paper identifies nonanalytic behaviors in the spin-orbit entanglement entropy of a 2D electron gas with Rashba interactions at specific filling factors and level crossings, linking these to measurable spin polarization fluctuations.

Contribution

It reveals how integer filling factors induce nonanalytic signatures in spin-orbit entanglement and proposes measurement via spin polarization fluctuations.

Findings

Nonanalytic signatures at integer filling factors

Sharp changes in spin-orbit entanglement entropy

Measurable spin polarization fluctuations

Abstract

We report distinct nonanalytic signatures in the spin-orbit entanglement of a 2D electron gas with Rashba interactions at integer values of the filling factor and at certain level crossings. The accompanying sharp changes in the bulk spin-orbit entanglement entropy can be probed by measuring the fluctuation in the transverse spin polarization of the electron gas.