Correlation Induced Inhomogeneity in Circular Quantum Dots
arXiv:cond-mat/0601178 · doi:10.1038/nphys293
Abstract
Properties of the "electron gas" - in which conduction electrons interact by means of Coulomb forces but ionic potentials are neglected - change dramatically depending on the balance between kinetic energy and Coulomb repulsion. The limits are well understood. For very weak interactions (high density), the system behaves as a Fermi liquid, with delocalized electrons. In contrast, in the strongly interacting limit (low density), the electrons localize and order into a Wigner crystal phase. The physics at intermediate densities, however, remains a subject of fundamental research. Here, we study the intermediate-density electron gas confined to a circular disc, where the degree of confinement can be tuned to control the density. Using accurate quantum Monte Carlo techniques, we show that the electron-electron correlation induced by an increase of the interaction first smoothly causes rings, and then angular modulation, without any signature of a sharp transition in this density range. This suggests that inhomogeneities in a confined system, which exist even without interactions, are significantly enhanced by correlations.
final version, modified introduction and clarifications, 4 pages
References in corpus (18)
- Metallic behavior and related phenomena in two dimensions
- Correlation energy and spin polarization in the 2D electron gas
- Wigner Crystallization in mesoscopic 2D electron systems
- Crossover from Fermi liquid to Wigner molecule behavior in quantum dots
- Full configuration interaction approach to the few-electron problem in artificial atoms
- Universal Aspects of Coulomb Frustrated Phase Separation
- On the formation of Wigner molecules in small quantum dots
- Diffusion Monte Carlo study of circular quantum dots
- Wigner Glass, Spin-liquids, and the Metal-Insulator Transition
- Charging Spectrum and Configurations of a Wigner Crystal Island
- Coulomb-interaction induced incomplete shell filling in the hole system of InAs quantum dots
- Unrestricted Hartree-Fock for Quantum Dots
- Anatomy of the quantum melting of the two dimensional Wigner crystal
- Unified description of floppy and rigid rotating Wigner molecules formed in quantum dots
- Crystalline character of high-magnetic-field cusp states in quantum dots
- Erratum: Diffusion Monte Carlo study of circular quantum dots
- The maximum density droplet to lower density droplet transition in quantum dots
- Interaction Effects in the Mesoscopic Regime: A Quantum Monte Carlo Study of Irregular Quantum Dots
Cited by in corpus (43)
- Continuum variational and diffusion quantum Monte Carlo calculations
- Symmetry breaking and quantum correlations in finite systems: Studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
- Density functional theory for strongly interacting electrons
- Vortices in quantum droplets: Analogies between boson and fermion systems
- Recent progresses of quantum confinement in graphene quantum dots
- A molecular state of correlated electrons in a quantum dot
- Density functional theory for strongly-interacting electrons: Perspectives for Physics and Chemistry
- Coherent cyclotron motion beyond Kohn's theorem
- Incipient Wigner Localization in Circular Quantum Dots
- Strongly correlated two-dimensional plasma explored from entropy measurements
- Kohn-Sham density functional theory for quantum wires in arbitrary correlation regimes
- Wigner localization in quantum dots from Kohn-Sham density functional theory without symmetry breaking
- Localization in an Inhomogeneous Quantum Wire
- Correlated electrons in optically-tunable quantum dots: Building an electron dimer molecule
- Transport properties of quantum dots in the Wigner molecule regime
- Spin projected unrestricted Hartree-Fock ground states for harmonic quantum dots
- Interaction-Induced Strong Localization in Quantum Dots
- Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions
- Breaking whispering-gallery modes of massless Dirac fermions in graphene quantum dots by Coulomb interaction
- Nanoscale Dynamical Mean-Field Theory for Molecules and Mesoscopic Devices in the Strong-Correlation Regime
- Crystallization in mass-asymmetric electron-hole bilayers
- On the Coulomb-dipole transition in mesoscopic classical and quantum electron-hole bilayers
- Density functional theory for strongly-correlated bosonic and fermionic ultracold dipolar and ionic gases
- Resolving structural transitions in spherical dust clusters
- Lapse of transmission phase and electron molecules in quantum dots
- Ab initio Path Integral Monte Carlo Simulations of Quantum Dipole Systems in Traps: Superfluidity, Quantum Statistics, and Structural Properties
- Many-Body perturbation theory calculations on circular quantum dots
- Performance of the coupled cluster singles and doubles method on two-dimensional quantum dots
- Spin ordering in magnetic quantum dots: From core-halo to Wigner molecules
- Path integral study of the role of correlation in exchange coupling of spins in double quantum dots and optical lattices
- Effects of interedge scattering on the Wigner crystallization in graphene nanoribbons
- Reproducibility of fixed-node diffusion Monte Carlo across diverse community codes: The case of water-methane dimer
- Influence of the nature of confinement on the melting of Wigner molecules in quantum dots
- Magnetic ordering in quantum dots: Open vs. closed shells
- Spatio-temporal correlations in Wigner molecules
- Quantum Monte Carlo Study of Semiconductor Artificial Graphene Nanostructures
- Wigner crystallization at graphene edges
- Coupled cluster theory for the ground and excited states of two dimensional quantum dots
- Significance of the nature of disorder on the universal features of the spatio-temporal correlations of two-dimensional Coulomb-clusters
- Chiral Spin Textures of Strongly Interacting Particles in Quantum Dots
- Path-integral Monte Carlo study of electronic states in quantum dots in an external magnetic field
- Diffusion Monte Carlo study of a valley degenerate electron gas and application to quantum dots
- A Finite Element Configuration Interaction Method for Wigner Localization