Fractionalization into merons in quantum dots

Abstract

We study by exact diagonalization, in the lowest Landau level approximation, the Coulomb interaction problem of N = 4 and N = 6 quantum dot in the limit of zero Zeeman coupling. We find that meron excitations constitute the lowest lying states of the quantum dots. This is based on a mapping between the excitations of the dot and states of the Haldane-Shastry spin chain.

4 pages, 5 figures

References in corpus (5)

• Vortex Clusters in Quantum Dots
• Wigner molecules in quantum dots: a quantum Monte Carlo study
• Intermediate Low Spin States in a Few-electron Quantum Dot in the $\nu \le 1$ Regime
• Electron-hole duality and vortex rings in quantum dots
• The maximum density droplet to lower density droplet transition in quantum dots

Cited by in corpus (8)

• Topological Phases in Two-Dimensional Materials: A Brief Review
• Microscopic theory of quantum anomalous Hall effect in graphene
• Vortices in quantum droplets: Analogies between boson and fermion systems
• Spin ordering in magnetic quantum dots: From core-halo to Wigner molecules
• Revealing Majorana Fermion states in a superfluid of cold atoms subject to a harmonic potential
• Meron ground states of quantum Hall droplets
• Chiral spin currents and spectroscopically accessible single merons in quantum dots
• Chiral Spin Textures of Strongly Interacting Particles in Quantum Dots