Crossover from Fermi liquid to Wigner molecule behavior in quantum dots

Abstract

The crossover from weak to strong correlations in parabolic quantum dots at zero magnetic field is studied by numerically exact path-integral Monte Carlo simulations for up to eight electrons. By the use of a multilevel blocking algorithm, the simulations are carried out free of the fermion sign problem. We obtain a universal crossover only governed by the density parameter $r_s$. For $r_s>r_c$, the data are consistent with a Wigner molecule description, while for $r_s<r_c$, Fermi liquid behavior is recovered. The crossover value $r_c\approx 4$ is surprisingly small.

4 pages RevTeX, 3 figures, corrected Table

References in corpus (2)

• Multilevel blocking approach to the fermion sign problem in path-integral Monte Carlo simulations
• A Multilevel Blocking Approach to the Sign Problem in Real-Time Quantum Monte Carlo Simulations

Cited by in corpus (131)

• Colloquium: Nonlinear collective interactions in quantum plasmas with degenerate electron fluids
• Wigner Crystallization in mesoscopic 2D electron systems
• 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
• Full configuration interaction approach to the few-electron problem in artificial atoms
• On the formation of Wigner molecules in small quantum dots
• Thermodynamics of hot dense H-plasmas: Path integral Monte Carlo simulations and analytical approximations
• Diffusion Monte Carlo study of circular quantum dots
• Excitation spectrum of two correlated electrons in a lateral quantum dot with negligible Zeeman splitting
• Correlation versus mean-field contributions to excitons, multi-excitons, and charging energies in semiconductor quantum dots
• Effects of symmetry breaking in finite quantum systems
• Vortices in quantum droplets: Analogies between boson and fermion systems
• Quantum dots in high magnetic fields: Rotating-Wigner-molecule versus composite-fermion approach
• A molecular state of correlated electrons in a quantum dot
• Correlation Induced Inhomogeneity in Circular Quantum Dots
• Laterally coupled few-electron quantum dots
• Quantum-dot lithium in zero magnetic field: Electronic properties, thermodynamics, and a liquid-solid transition in the ground state
• Fermionic path integral Monte Carlo results for the uniform electron gas at finite temperature
• Rotational and vibrational spectra of quantum rings
• Wigner molecules in quantum dots
• Incipient Wigner Localization in Circular Quantum Dots
• Nonequilibrium Green's functions approach to strongly correlated few-electron quantum dots
• Group theoretical analysis of symmetry breaking in two-dimensional quantum dots
• Formation and control of electron molecules in artificial atoms: Impurity and magnetic-field effects
• Spatial ordering of charge and spin in quasi one-dimensional Wigner molecules
• Kohn-Sham density functional theory for quantum wires in arbitrary correlation regimes
• Attenuating the fermion sign problem in path integral Monte Carlo simulations using the Bogoliubov inequality and thermodynamic integration
• Wigner islands with electrons over helium
• Wigner localization in quantum dots from Kohn-Sham density functional theory without symmetry breaking
• Strong electron-electron interactions in Si/SiGe quantum dots
• Evidence of correlation in spin excitations of few-electron quantum dots
• The interplay between shell effects and electron correlations in quantum dots
• Path-integral Monte Carlo simulations for interacting few-electron quantum dots with spin-orbit coupling
• Transport properties of quantum dots in the Wigner molecule regime
• Correlated electrons in optically-tunable quantum dots: Building an electron dimer molecule
• Imaging quasi-particle wavefunctions in quantum dots via tunneling spectroscopy
• Unrestricted Hartree-Fock for Quantum Dots
• High-order Path Integral Monte Carlo methods for solving quantum dot problems
• Wigner molecules in carbon-nanotube quantum dots
• Correlation effects in partially ionized mass asymmetric electron-hole plasmas
• Exchange interaction in quantum rings and wires in the Wigner-crystal limit
• Two ground-state modifications of quantum-dot beryllium
• Wigner crystallization in the two electron quantum dot
• Fermion Sign Problem in Path Integral Monte Carlo Simulations: Grand-canonical ensemble
• Reduced electron relaxation rate in multi-electron quantum dots
• 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
• Signatures of Wigner Localization in Epitaxially Grown Nanowires
• Interaction-Induced Strong Localization in Quantum Dots
• Artifical atoms in interacting graphene quantum dots
• Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions
• Spin and Conductance-Peak-Spacing Distributions in Large Quantum Dots: A Density Functional Theory Study
• Quantum-dot lithium in strong-interaction regime: Depolarization of electron spins by magnetic field
• Ab-initio study of interacting fermions at finite temperature with neural canonical transformation
• Impurity effects in few-electron quantum dots: Incipient Wigner molecule regime
• Wigner molecules in polygonal quantum dots: A density functional study
• Two-body Wigner molecularization in asymmetric quantum dot spin qubits
• Double-well ultracold-fermions computational microscopy: Wave-function anatomy of attractive-pairing and Wigner-molecule entanglement and natural orbitals
• Configuration interaction method for Fock-Darwin states
• Crystallization in mass-asymmetric electron-hole bilayers
• Raman signatures of classical and quantum phases in coupled dots: A theoretical prediction
• Ground-state energy and spin in disordered quantum dots
• Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot
• Rotating quantum liquids crystallize
• Density functional theory of spin-polarized disordered quantum dots
• Electron and boson clusters in confined geometries: symmetry breaking in quantum dots and harmonic traps
• Ground state and optical conductivity of interacting polarons in a quantum dot
• Theory of the STM detection of Wigner molecules in spin incoherent CNTs
• Wigner crystal phases in confined carbon nanotubes
• Spin and rotational symmetries in unrestricted Hartree Fock states of quantum dots
• Spin Exciton in quantum dot with spin orbit coupling in high magnetic field
• Molecular formations and spectra due to electron correlations in three-electron hybrid double-well qubits
• A Wigner molecule at extremely low densities: a numerically exact study
• Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot
• Signatures of Wigner molecule formation in interacting Dirac fermion quantum dots
• Quantum Wigner molecules in moiré materials
• Wigner molecules and hybrid qubits
• Accuracy of the Hartree-Fock method for Wigner molecules at high magnetic fields
• Sequential magnetotunneling in a vertical Quantum Dot tuned at the crossing to higher spin states
• Interacting electrons on a quantum ring: exact and variational approach
• Ab initio Path Integral Monte Carlo Simulations of Quantum Dipole Systems in Traps: Superfluidity, Quantum Statistics, and Structural Properties
• Ground-state densities and pair correlation functions in parabolic quantum dots
• Spin-orbit-enhanced Wigner localization in quantum dots
• Performance of the coupled cluster singles and doubles method on two-dimensional quantum dots
• Valleytronic full configuration-interaction approach: An application to the excitation spectra of Si double-dot qubits
• Wigner molecules in phosphorene quantum dots
• Wigner localization in two and three dimensions: an \emph{ab initio} approach
• Rotational levels in quantum dots
• Re-entrant pinning of Wigner molecules in a magnetic field due to a Coulomb impurity
• Spin ordering in magnetic quantum dots: From core-halo to Wigner molecules
• Wigner-molecule supercrystal in transition-metal dichalcogenide moiré superlattices: Lessons from the bottom-up approach
• Disorder Induced Ferromagnetism in Restricted Geometries
• Spin exchange in quantum rings and wires in the Wigner-crystal limit
• Strongly correlated quantum dots in weak confinement potentials and magnetic fields
• Two-dimensional electron crystals in single and double layers
• Abnormal superfluid fraction and structural properties of electrons in 2D and 3D quantum dots: an ab initio path-integral Monte Carlo study
• Quantum dots based on parabolic quantum wells: importance of electronic correlations
• Self assembled Wigner crystals as mediators of spin currents and quantum information
• Few-electron quantum dots and disks in zero magnetic field: Possible indications on a liquid-solid transition
• Correlation Effects in Quantum Dot Wave Function Imaging
• Brueckner-Hartree-Fock study of circular quantum dots
• Classical electrons in laterally coupled diatomic 2D artificial molecule
• The Crossover between Liquid and Solid Electron Phases in Quantum Dots: A Large-Scale Configuration-Interaction Study
• Charge-noise resilience of two-electron quantum dots in Si/SiGe heterostructures
• Influence of the nature of confinement on the melting of Wigner molecules in quantum dots
• Static and Dynamic Properties of Two Dimensional Coulomb Clusters
• Probing Wigner correlations in a suspended carbon nanotube
• Magnetic ordering in quantum dots: Open vs. closed shells
• Crystal-field effects in the formation of Wigner-molecule supercrystals in moiré TMD superlattices
• Microscopic theory on magnetic-field-tuned sweet spot of exchange interactions in multielectron quantum-dot systems
• Correlation and current anomalies in helical quantum dots
• Characterization of shell filling of interacting polarons in a quantum dot through their optical absorption
• Coupled cluster theory for the ground and excited states of two dimensional quantum dots
• The Wigner localization of interacting electrons in a one-dimensional harmonic potential
• Quantum properties of a cyclic structure based on tripolar fields
• Solving fermion problems without solving the sign problem: symmetry-breaking wave functions from similarity-transformed propagators for solving 2D quantum dots
• Asymptotically exact dispersion relations for collective modes in a confined charged Fermi liquid
• A Pseudo-Fermion Propagator Approach to the Fermion Sign Problem
• Theory of electron spectroscopies in strongly correlated semiconductor quantum dots
• Determinant- and Derivative-Free Quantum Monte Carlo Within the Stochastic Representation of Wavefunctions
• Many Body Diffusion and Interacting Electrons in a Harmonic Confinement
• Spin conversion rates due to dipolar interactions in mono-isotopic quantum dots at vanishing spin-orbit coupling
• Spin-orbital magnetism in moiré Wigner molecules
• Path-integral Monte Carlo study of electronic states in quantum dots in an external magnetic field
• Far Infrared absorption of non center of mass modes and optical sum rule in a few electron quantum dot with Rashba spin-orbit coupling
• Path integral Monte Carlo simulation of charged particles in traps
• Anomalous impurity-induced charge modulations in black phosphorus
• Thermodynamic properties of the finite-temperature electron gas by the fermionic path integral Monte Carlo method
• On the symmetry of the electronic density in the three-electron parabolic quantum dot
• Orbital ferromagnetism in interacting few-electron dots with strong spin-orbit coupling
• Diffusion Monte Carlo study of a valley degenerate electron gas and application to quantum dots