Chiral Spin Textures of Strongly Interacting Particles in Quantum Dots

TL;DR

This paper investigates chiral and topological spin textures in strongly interacting particles confined in two-dimensional quantum dots, revealing complex spin arrangements through advanced many-body computational techniques.

Contribution

It introduces a detailed analysis of spin textures in quantum dots, uncovering chiral and quasi-topological structures using configuration-interaction methods.

Findings

Identification of chiral spin textures in quantum dots

Verification of rotational invariance in charge and spin densities

Discovery of quasi-topological spin arrangements in degenerate states

Abstract

We probe for statistical and Coulomb induced spin textures among the low-lying states of repulsively-interacting particles confined to potentials that are both rotationally and time-reversal invariant. In particular, we focus on two-dimensional quantum dots and employ configuration-interaction techniques to directly compute the correlated many-body eigenstates of the system. We produce spatial maps of the single-particle charge and spin density and verify the annular structure of the charge density and the rotational invariance of the spin field. We further compute two-point spin correlations to determine the correlated structure of a single component of the spin vector field. In addition, we compute three-point spin correlation functions to uncover chiral structures. We present evidence for both chiral and quasi-topological spin textures within energetically degenerate subspaces in the three- and four-particle system.