Correlation between electrons and vortices in quantum dots

Abstract

Exact many-body wave functions for quantum dots containing up to four interacting electrons are computed and we investigated the distribution of the wave function nodes, also called vortices. For this purpose, we evaluate the reduced wave function by fixing the positions of all but one electron and determine the locations of its zeros. We find that the zeros are strongly correlated with respect to each other and with respect to the position of the electrons and formulate rules describing their distribution. No multiple zeros are found, i.e. vortices with vorticity larger than one. Our exact calculations are compared to results extracted from the recently proposed rotating electron molecule (REM) wave functions.

References in corpus (7)

• Transition from an electron solid to the sequence of fractional quantum Hall states at very low Landau level filling factor
• Quantum dots in high magnetic fields: Rotating-Wigner-molecule versus composite-fermion approach
• Trial wave functions with long-range Coulomb correlations for two-dimensional N-electron systems in high magnetic fields
• Vortex Clusters in Quantum Dots
• Laughlin-Jastrow-correlated Wigner crystal in a strong magnetic field
• Hamiltonian Theory of the Composite Fermion Wigner Crystal
• Two ground-state modifications of quantum-dot beryllium

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• Two-electron lateral quantum-dot molecules in a magnetic field
• Structural properties of electrons in quantum dots in high magnetic fields: Crystalline character of cusp states and excitation spectra
• Stability of vortex structures in quantum dots
• Ground-state of two-dimensional finite electron systems in the Quantum Hall regime
• Solving and visualizing fractional quantum Hall wavefunctions with neural network
• Spectral properties of rotating electrons in quantum dots and their relation to quantum Hall liquids
• Abnormal superfluid fraction and structural properties of electrons in 2D and 3D quantum dots: an ab initio path-integral Monte Carlo study
• Dependence of the vortex structure in quantum dots on the range of the inter-electron interaction
• Giant vortices in rotating electron droplets
• Meron ground states of quantum Hall droplets
• Chiral Spin Textures of Strongly Interacting Particles in Quantum Dots