Chiral Spin Textures of Strongly Interacting Particles in Quantum Dots
arXiv:1009.1784 · doi:10.1103/PhysRevB.83.115306
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.
13 pages, 17 figures, 1 table
References in corpus (35)
- Fault-tolerant quantum computation by anyons
- Quantum Computation with Quantum Dots
- Skyrmion Lattice in a Chiral Magnet
- Spins in few-electron quantum dots
- The Physical Implementation of Quantum Computation
- Coupled quantum dots as quantum gates
- First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
- Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
- Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
- Single-shot readout of electron spin states in a quantum dot using spin-dependent tunnel rates
- Rapid Single-Shot Measurement of a Singlet-Triplet Qubit
- Coherent spin manipulation in an exchange-only qubit
- Topological Computation without Braiding
- Quantum dots with Rashba spin-orbit coupling
- Berry's phase and Quantum Dynamics of Ferromagnetic Solitons
- Voltage-tunable singlet-triplet transition in lateral quantum dots
- Vortices in quantum droplets: Analogies between boson and fermion systems
- Recent advances in exciton based quantum information processing in quantum dot nanostructures
- Correlation Induced Inhomogeneity in Circular Quantum Dots
- Vortex Clusters in Quantum Dots
- Evidence for Skyrmion crystallization from NMR relaxation experiments
- Incipient Wigner Localization in Circular Quantum Dots
- Controlling Spin Qubits in Quantum Dots
- Spectroscopic Evidence for the Localization of Skyrmions near Nu=1 as T->0
- Intermediate Low Spin States in a Few-electron Quantum Dot in the Regime
- Reduced electron relaxation rate in multi-electron quantum dots
- Correlation between electrons and vortices in quantum dots
- Quantum computation with quasiparticles of the Fractional Quantum Hall Effect
- Effect of electron-electron interaction on the phonon-mediated spin relaxation in quantum dots
- Ground-state of two-dimensional finite electron systems in the Quantum Hall regime
- Fractionalization into merons in quantum dots
- Effect of the Coulomb interaction on the electron relaxation of weakly-confined quantum dot systems
- Meron ground states of quantum Hall droplets