Collective and independent-particle motion in two-electron artificial atoms
arXiv:cond-mat/0003245 · doi:10.1103/PhysRevLett.85.1726
Abstract
Investigations of the exactly solvable excitation spectra of two-electron quantum dots with a parabolic confinement, for different values of the parameter R_W expressing the relative magnitudes of the interelectron repulsion and the zero-point kinetic energy of the confined electrons, reveal for large R_W a remarkably well-developed ro-vibrational spectrum associated with formation of a linear trimeric rigid molecule composed of the two electrons and the infinitely heavy confining dot. This spectrum transforms to one characteristic of a "floppy" molecule for smaller values of R_W. The conditional probability distribution calculated for the exact two-electron wave functions allows for the identification of the ro-vibrational excitations as rotations and stretching/bending vibrations, and provides direct evidence pertaining to the formation of such molecules.
Published version. Latex/Revtex, 5 pages with 2 postscript figures embedded in the text. For related papers, see http://www.prism.gatech.edu/~ph274cy
References in corpus (1)
Cited by in corpus (62)
- Quantum rings for beginners: Energy spectra and persistent currents
- Symmetry breaking and quantum correlations in finite systems: Studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
- Symmetry restoration in mean-field approaches
- Excitation spectrum of two correlated electrons in a lateral quantum dot with negligible Zeeman splitting
- Effects of symmetry breaking in finite quantum systems
- Aharonov-Bohm effect of excitons in nano-rings
- 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
- Quantum-dot lithium in zero magnetic field: Electronic properties, thermodynamics, and a liquid-solid transition in the ground state
- Group theoretical analysis of symmetry breaking in two-dimensional quantum dots
- Two-dimensional quantum-dot helium in a magnetic field: Variational theory
- Crystalline boson phases in harmonic traps: Beyond the Gross-Pitaevskii mean field
- Strongly correlated wave functions for artificial atoms and molecules
- AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
- Structural properties of electrons in quantum dots in high magnetic fields: Crystalline character of cusp states and excitation spectra
- Correlated electrons in optically-tunable quantum dots: Building an electron dimer molecule
- Transport properties of quantum dots in the Wigner molecule regime
- Roto-vibrational spectrum and Wigner crystallization in two-electron parabolic quantum dots
- Wigner crystallization in the two electron quantum dot
- Two electrons in a strongly coupled double quantum dot: from an artificial helium atom to a hydrogen molecule
- Crystalline character of high-magnetic-field cusp states in quantum dots
- Unified description of floppy and rigid rotating Wigner molecules formed in quantum dots
- Two ground-state modifications of quantum-dot beryllium
- Spin projected unrestricted Hartree-Fock ground states for harmonic quantum dots
- Rapidly rotating boson molecules with long or short range repulsion: an exact diagonalization study
- Ground state and far-infrared absorption of two-electron rings in a magnetic field
- Double-well ultracold-fermions computational microscopy: Wave-function anatomy of attractive-pairing and Wigner-molecule entanglement and natural orbitals
- Two-body Wigner molecularization in asymmetric quantum dot spin qubits
- Symmetry breaking and the random-phase approximation in small quantum dots
- Finite-thickness effects in ground-state transitions of two-electron quantum dots
- Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot
- Ultracold few fermionic atoms in needle-shaped double wells: spin chains and resonating spin clusters from microscopic Hamiltonians emulated via antiferromagnetic Heisenberg and t-J models
- Artificial quantum-dot Helium molecules: Electronic spectra, spin structures, and Heisenberg clusters
- Electron and boson clusters in confined geometries: symmetry breaking in quantum dots and harmonic traps
- Theory of the STM detection of Wigner molecules in spin incoherent CNTs
- Spin and rotational symmetries in unrestricted Hartree Fock states of quantum dots
- Molecular formations and spectra due to electron correlations in three-electron hybrid double-well qubits
- Two-electron atom with a screened interaction
- Quantum Wigner molecules in moiré materials
- Wigner molecules and hybrid qubits
- Optical Aharonov-Bohm Effect on Wigner Molecules in Type-II Semiconductor Quantum Dots
- Quantal molecular description and universal aspects of the spectra of bosons and fermions in the lowest Landau level
- Ground state properties of a trapped few-Boson system under rotation --beyond the "lowest Landau level" approximation--
- A fully quantal molecular description for the spectra of bosons and fermions in the lowest Landau level
- Symmetry breaking and Wigner molecules in few-electron quantum dots
- Two-electron entanglement in a two-dimensional isotropic harmonic trap: Radial correlation effects in the low density limit
- Wigner-molecule supercrystal in transition-metal dichalcogenide moiré superlattices: Lessons from the bottom-up approach
- Rotating electrons in quantum dots: Quantum Hall liquid in the classical limit
- Valleytronic full configuration-interaction approach: An application to the excitation spectra of Si double-dot qubits
- Wave Function Identity: A New Symmetry for 2-electron Systems in an Electromagnetic Field
- Fractional quantum Hall physics and higher-order momentum correlations in a few spinful fermionic contact-interacting ultracold atoms in rotating traps
- Probing Wigner correlations in a suspended carbon nanotube
- Electronic Wigner-Molecule Polymeric Chains in Elongated Silicon Quantum Dots and Finite-Length Quantum Wires
- Crystal-field effects in the formation of Wigner-molecule supercrystals in moiré TMD superlattices
- Ground and Low-Lying Collective States of Rotating Three-Boson System
- Vortex patterns in moderately rotating Bose-condensed gas
- Trial wave functions for ring-trapped ions and neutral atoms: Microscopic description of the quantum space-time crystal
- Novel phases in rotating Bose-condensed gas: vortices and quantum correlation
- From the Fermi Liquid Towards the Wigner Solid in Two Dimensions
- Interaction and temperature effects on the pair correlation function of a strongly interacting 1D quantum dot
- Exotic Harmonium Model: Exploring Correlation Effects of Attractive Coulomb Interaction
- Artificial versus Natural Atoms: The uncanny capability of the many-body Schrödinger equation to produce emergent behavior