Stability of spin droplets in realistic quantum Hall devices

Abstract

We study the formation and characteristics of "spin droplets",i.e., compact spin-polarized configurations in the highest occupied Landau level, in an etched quantum Hall device at filling factors $2\le \nu \le 3$. The confining potential for electrons is obtained with self-consistent electrostatic calculations on a GaAs/AlGaAs heterostructure with experimental system parameters. Real-space spin-density-functional calculations for electrons confined in the obtained potential show the appearance of stable spin droplets at $\nu \sim 5/2$. The qualitative features of the spin droplet are similar to those in idealized (parabolic) quantum-dot systems. The universal stability of the state against geometric deformations underline the applicability of spin droplets in, e.g., spin-transport through quantum point contacts.

11 pages, 6 figures

References in corpus (8)

• Aharonov-Bohm electron interferometer in the integer quantum Hall regime
• Collapse of the Electron Gas to Two Dimensions in Density Functional Theory
• Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime
• Density gradients for the exchange energy of electrons in two dimensions
• Half-Integer Filling Factor States in Quantum Dots
• Parameter-free density functional for the correlation energy in two dimensions
• Laplacian-level density functionals for the exchange-correlation energy of low-dimensional nanostructures
• Pfaffian and fragmented states at nu=5/2 in quantum Hall droplets

Cited by in corpus (1)

• Formation of spin droplet at nu = 5/2 in an asymmetric quantum dot under quantum Hall conditions