Correlation energy and spin polarization in the 2D electron gas

Abstract

The ground state energy of the two--dimensional uniform electron gas has been calculated with fixed--node diffusion Monte Carlo, including backflow correlations, for a wide range of electron densities as a function of spin polarization. We give a simple analytic representation of the correlation energy which fits the density and polarization dependence of the simulation data and includes several known high- and low-density limits. This parametrization provides a reliable local spin density energy functional for two-dimensional systems and an estimate for the spin susceptibility. Within the proposed model for the correlation energy, a weakly first--order polarization transition occurs shortly before Wigner crystallization as the density is lowered.

Minor typos corrected, see erratum: Phys. Rev. Lett. 91, 109902(E) (2003)

Cited by in corpus (256)

• Electronic transport in two dimensional graphene
• Libxc: a library of exchange and correlation functionals for density functional theory
• Metal-insulator transition in two-dimensional electron systems
• Continuum variational and diffusion quantum Monte Carlo calculations
• Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
• Valley susceptibility of an interacting two-dimensional electron system
• Low Depth Quantum Simulation of Electronic Structure
• Coulomb Interactions and Ferromagnetism in Pure and Doped Graphene
• Applications of quantum Monte Carlo methods in condensed systems
• Transport in strongly correlated two dimensional electron fluids
• Spin Susceptibility of an Ultra-Low Density Two Dimensional Electron System
• Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas
• Two-dimensional electrons occupying multiple valleys in AlAs
• Deep Learning and Density Functional Theory
• Density-Functional Theory of Graphene Sheets
• Time-dependent density-functional theory beyond the adiabatic approximation: insights from a two-electron model system
• Spin-Polarized Electrons in Monolayer MoS${}_2$
• Impurity effects in quantum dots: Towards quantitative modeling
• Interactions and magnetotransport through spin-valley coupled Landau levels in monolayer MoS${}_2$
• Spin-independent origin of the strongly enhanced effective mass in a dilute 2D electron system
• Density functional theory for strongly interacting electrons
• Spin susceptibility of two-dimensional electrons in narrow AlAs quantum wells
• Density-Dependent Quantum Hall States and Zeeman Splitting in Monolayer and Bilayer WSe${}_2$
• Large effective mass and interaction-enhanced Zeeman splitting of $K$-valley electrons in MoSe${}_2$
• Metal-insulator transitions and the effects of electron-electron interactions in two-dimensional electron systems
• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene I: Interaction-Driven Chern Bands and Fractional Quantum Hall States at Zero Magnetic Field
• The thermodynamic spin magnetization of strongly correlated 2d electrons in a silicon inversion layer
• Vortices in quantum droplets: Analogies between boson and fermion systems
• Electronic structure of rectangular quantum dots
• Ground state properties of the one dimensional Coulomb gas
• Controlling the Dynamics of Many-Electron Systems from First Principles: A Marriage of Optimal Control and Time-Dependent Density-Functional Theory
• Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices
• Geometric and impurity effects on quantum rings in magnetic fields
• Competing correlated states around the zero field Wigner crystallization transition of electrons in two-dimensions
• Density functional theory beyond the linear regime: Validating adiabatic LDA
• Odd and even Kondo effects from emergent localisation in quantum point contacts
• Correlation Induced Inhomogeneity in Circular Quantum Dots
• Density functional theory for strongly-interacting electrons: Perspectives for Physics and Chemistry
• Role of finite layer thickness in spin-polarization of GaAs 2D electrons in strong parallel magnetic fields
• Excitons and biexcitons in symmetric electron-hole bilayers
• Vortex Clusters in Quantum Dots
• Pauli spin susceptibility of a strongly correlated two-dimensional electron liquid
• Effects of thickness on the spin susceptibility of the 2D electron gas
• Quasiparticle self-energy and many-body effective mass enhancement in a two-dimensional electron liquid
• Observation of Spontaneous Ferromagnetism in a Two-Dimensional Electron System
• Incipient Wigner Localization in Circular Quantum Dots
• Non-Equilibrium Electron Transport in Two-Dimensional Nano-Structures Modeled by Green's Functions and the Finite-Element Method
• Critical Behavior of a Strongly Interacting 2D Electron System
• Strongly interaction-enhanced valley magnetic response in monolayer WSe2
• Pair-distribution functions of the two-dimensional electron gas
• Unrestricted Hartree-Fock theory of Wigner crystals
• Electron transport through quantum wires and point contacts
• Dependence of spin susceptibility of a two-dimensional electron system on the valley degree of freedom
• Spin-Droplet State of an Interacting 2D Electron System
• Competing magnetic states in transition metal dichalcogenide moiré materials
• Density dependent spin susceptibility and effective mass in interacting quasi-two dimensional electron systems
• Spin-polarized stable phases of the 2-D electron fluid at finite temperatures
• Anomalous Spin Polarization of GaAs Two-Dimensional Hole Systems
• Transport evidence for a sliding two-dimensional quantum electron solid
• Hybrid phase at the quantum melting of the Wigner crystal
• The quantum Hall ferromagnet at high filling factors: A magnetic field induced Stoner transition
• Spin polarization of edge states and magnetosubband structure in quantum wires
• Absence of inter-layer tunnel coupling of $K$-valley electrons in bilayer MoS${}_2$
• Landau-quantized excitonic absorption and luminescence in a monolayer valley semiconductor
• Quantum Monte Carlo study of the ground state of the two-dimensional Fermi fluid
• Electron-Electron Interactions in Artificial Graphene
• Self-consistent Overhauser model for the pair distribution function of an electron gas in dimensionalities D=3 and D=2
• Observation of spontaneous valley polarization of itinerant electrons
• Becke-Johnson-type exchange potential for two-dimensional systems
• Exchange-energy functionals for finite two-dimensional systems
• Valley polarization assisted spin polarization in two dimensions
• Spin polarized two-dimensional electron gas embedded in semimagnetic quantum well : ground state, spin responses, spin excitations, Raman spectrum
• Anatomy of the quantum melting of the two dimensional Wigner crystal
• Dynamic correlations in symmetric electron-electron and electron-hole bilayers
• Nonlinear 2D Spin Susceptibility in a Finite Magnetic Field: Spin-Polarization Dependence
• Anisotropic, two-dimensional, disordered Wigner solid
• Conductance of a quantum point contact based on spin-density-functional theory
• Recent developments in the field of the metal-insulator transition in two dimensions
• Uniform electron gases
• Wigner crystallization in transition metal dichalcogenides: A new approach to correlation energy
• Quantum Monte Carlo study of the two-dimensional electron gas in presence of Rashba interaction
• Strongly enhanced effective mass in dilute two-dimensional electron systems: System-independent origin
• Thinking outside the box: the uniform electron gas on a hypersphere
• Gaussian approximations for the exchange-energy functional of current-carrying states: Applications to two-dimensional systems
• Interaction-Induced Strong Localization in Quantum Dots
• Rectangular quantum dots in high magnetic fields
• Itinerant-electron magnetism: the importance of many-body correlations
• Contrast between spin and valley degrees of freedom
• Spontaneous valley polarization of interacting carriers in a monolayer semiconductor
• Density gradients for the exchange energy of electrons in two dimensions
• Interaction-Induced Spin Polarization in Quantum Dots
• Exchange instabilities in electron systems: Bloch versus Stoner Ferromagnetism
• Energy gaps and interaction blockade in confined quantum systems
• Spin Susceptibility of Interacting Two-dimensional Electrons with Anisotropic Effective Mass
• Correlation energy of two-dimensional systems: Toward non-empirical and universal modeling
• Local correlation functional for electrons in two dimensions
• Exchange-correlation orbital functionals in current-density-functional theory: Application to a quantum dot in magnetic fields
• Quantum electron liquid and its possible phase transition
• Effective mass suppression upon complete spin-polarization in an isotropic two-dimensional electron system
• Uniform Electron Gases. II. The Generalized Local Density Approximation in One Dimension
• Many-body exciton and inter-valley correlations in heavily electron-doped WSe${}_2$ monolayers
• Exact Coulomb cutoff technique for supercell calculations in two dimensions
• Stability of vortex structures in quantum dots
• Spin and Valley dependent analysis of the two-dimensional low-density electron system in Si-MOSFETS
• Metal-insulator transition in the two-dimensional fully polarized homogeneous electron gas from Hartree-Fock solutions
• Metal-insulator transition in the Hartree-Fock phase diagram of the fully polarized homogeneous electron gas in two dimensions
• Spin Susceptibility of a 2D Electron System in GaAs towards the Weak Interaction Region
• Metal-insulator transition in transition metal dichalcogenide heterobilayer: accurate treatment of interaction
• Ground-state of two-dimensional finite electron systems in the Quantum Hall regime
• Short-distance properties of Coulomb systems
• Orbital-free energy functional for electrons in two dimensions
• Electron localization function for two-dimensional systems
• The ground state of clean and defected graphene: Coulomb interactions of massless Dirac fermions, pair-distribution functions and spin-polarized phases
• Ground state phases of the two-dimension electron gas with a unified variational approach
• Nonlinear magnetic field dependence of spin polarization in high density two-dimensional electron systems
• Spin and temperature dependent study of exchange and correlation in thick two-dimensional electron layers
• Parameter-free density functional for the correlation energy in two dimensions
• Supersolidity in electron-hole bilayers with a large density imbalance
• Measuring the spin polarization and Zeeman energy of a spin-polarized electron gas: Comparison between Raman scattering and photoluminescence
• Novel Energy Scale in the Interacting 2D Electron System Evidenced from Transport and Thermodynamic Measurements
• Observation of an electronic microemulsion phase emerging from a quantum crystal-to-liquid transition
• Interstitial-induced ferromagnetism in a two-dimensional Wigner crystal
• Bloch Ferromagnetism of Composite Fermions
• Exploiting fermion number in factorized decompositions of the electronic structure Hamiltonian
• Metal-insulator transition and low-density phases in a strongly-interacting two-dimensional electron system
• Effective mass suppression in a ferromagnetic two-dimensional electron liquid
• Universal behavior of repulsive two-dimensional fermions in the vicinity of the quantum freezing point
• Effective Mass and Spin Susceptibility of Dilute Two-Dimensional Holes in GaAs
• High density limit of the two-dimensional electron liquid with Rashba spin-orbit coupling
• Spin accumulation with spin-orbit interaction
• Correlation energy in a spin polarized two dimensional electron liquid in the high density limit
• Universal enhancement of superconductivity in two dimensional semiconductors at low doping by electron-electron interaction
• Analytic theory of correlation energy and spin polarization in the 2D electron gas
• Probing spin susceptibility of a correlated two-dimensional electron system by transport and magnetization measurements
• Spin waves in magnetic quantum wells with Coulomb interaction and $sd$ exchange coupling
• Hartree-Fock ground state of the two-dimensional electron gas with Rashba spin-orbit interaction
• Ground-state densities and pair correlation functions in parabolic quantum dots
• Anisotropic Fermi Contour of (001) GaAs Electrons in Parallel Magnetic Fields
• Laplacian-level density functionals for the exchange-correlation energy of low-dimensional nanostructures
• A simple variational method for calculating energy and quantum capacitance of an electron gas with screened interactions
• Exact energy of the spin-polarized two-dimensional electron gas at high density
• Topological Phonon Modes in A Two-Dimensional Wigner Crystal
• Interplay among spin, orbital effects and localization in a GaAs two-dimensional electron gas in a strong in-plane magnetic field
• Structure of the Local-field factor of the 2-D electron fluid. Possible evidence for correlated scattering of electron pairs
• Excitons and trions in monolayer semiconductors with correlated electrons
• Valley and spin polarized broken symmetry states of interacting electrons in gated MoS${}_2$ quantum dots
• Magnetodrag in hydrodynamic regime: effects of magnetoplasmon resonance and Hall viscosity
• Landau Fermi Liquid Picture of Spin Density Functional Theory: Strutinsky Approach to Quantum Dots
• Semi-local density functional for the exchange-correlation energy of electrons in two dimensions
• A generalized Stoner criterion and versatile spin ordering in two-dimensional spin-orbit coupled electron systems
• Instability of the ferromagnetic quantum critical point in strongly interacting 2D and 3D electron gases with arbitrary spin-orbit splitting
• Spin-resolved second-order correlation energy of the two-dimensional uniform electron gas
• Local field factors in a polarized two-dimensional electron gas
• Wigner crystallization of electrons in a one-dimensional lattice: a condensation in the space of states
• Pfaffian and fragmented states at nu=5/2 in quantum Hall droplets
• Study of interacting electrons in graphene under the renormalized-ring-diagram approximation
• Investigation of optimal control problems governed by a time-dependent Kohn-Sham model
• Functional-renormalization-group aided density-functional analysis for the correlation energy of the two-dimensional homogeneous electron gas
• Influence of the single-particle Zeeman energy on the quantum Hall ferromagnet at high filling factors
• Benchmark Quantum Monte Carlo calculations of the ground-state kinetic, interaction, and total energy of the three-dimensional electron gas
• Quantum Monte Carlo study of the phase diagram of the two-dimensional uniform electron liquid
• Rich many-body phase diagram of electrons and holes in doped monolayer transition metal dichalcogenides
• Nematic metal in a multi-valley electron gas: Variational Monte Carlo analysis and application to AlAs
• Quantum Monte Carlo calculation of the Fermi liquid parameters of the two-dimensional homogeneous electron gas
• Semi-local Exchange Energy Functional For Two-Dimensional Quantum Systems: A Step Beyond Generalized Gradient Approximations
• Chirality and intrinsic dissipation of spin modes in two-dimensional electron liquids
• Transconductance and effective Landé factors for quantum point contacts: spin-orbit coupling and interaction effects
• Suppression of Coulomb exchange energy in quasi-two-dimensional hole systems
• $\lambda$-Jellium Model for the Anomalous Hall Crystal
• Colle-Salvetti-type local density functional for the exchange-correlation energy in two dimensions
• Exchange-correlation enhancement of the Lande-g* factor in integer quantized Hall plateaus
• Exchange-correlation vector potentials and vorticity-dependent exchange-correlation energy densities in two-dimensional systems
• Exchange-correlation energy of a multicomponent two-dimensional electron gas
• Spin-dependent correlation in two-dimensional electron liquids at arbitrary degeneracy and spin-polarization: CHNC approach
• Thermodynamic magnetization of a strongly correlated two-dimensional electron system
• Density Functional Theory of Multicomponent Quantum Dots
• Sharply increasing effective mass: a precursor of the spontaneous spin polarization in a dilute two-dimensional electron system
• Signatures of correlated defects in an ultra-clean Wigner crystal in the extreme quantum limit
• Spin independence of the strongly enhanced effective mass in ultra-clean SiGe/Si/SiGe two-dimensional electron system
• Stability of the shell structure in 2D quantum dots
• Collective depinning and sliding of a quantum Wigner solid in a 2D electron system
• Magnetoconductance of interacting electrons in quantum wires: Spin density functional theory study
• Orbital and spin order in oxide two-dimensional electron gases
• Charge compressibility and quantum magnetic phase transition in MoS${}_2$
• Exchange and correlation energy functionals for two-dimensional open-shell systems
• Interacting spin-droplets and magnetic properties of a low-density two-dimensional electron gas
• Constraints of reduced density-matrix functional theory for the two-dimensional homogeneous electron gas
• Approximation for discrete Fourier transform and application in study of three-dimensional interacting electron gas
• Magnetism in 2D BN${}_{1-x}$O${}_x$ and B${}_{1-x}$Si${}_x$N: polarized itinerant and local electrons
• Symmetry-broken local-density approximation for one-dimensional systems
• Ground-state energy and Wigner crystallization in thick 2D-electron systems
• Coulomb interactions of massless Dirac fermions in graphene; pair-distribution functions and exchange-driven spin-polarized phases
• Analytic approach to the ground-state energy of charged anyon gases
• Spin susceptibility and polarization field in a dilute two-dimensional electron system in (111) silicon
• Enhancement of valley susceptibility upon complete spin-polarization
• Vortex formation in quantum dots in high magnetic fields
• Valley polarization transition in a two-dimensional electron gas
• Evidence of spontaneous spin polarization in the two-dimensional electron gas
• Scaling in the correlation energies of two-dimensional artificial atoms
• Exchange-correlation potentials for inhomogeneous electron systems in two dimensions from exact diagonalization: comparison with the local-spin-density approximation
• Large two-dimensional electronic systems: Self-consistent energies and densities at low cost
• Ferromagnetic semimetal and charge-density wave phases of interacting electrons in a honeycomb moiré potential
• Phase diagram of the interacting persistent spin-helix state
• Exchange-correlation energy densities for two-dimensional systems from quantum dot ground-states
• Inhomogeneity Induced and Appropriately Parameterized Semilocal Exchange and Correlation Energy Functionals in Two-Dimensions
• Competition of Exchange and Correlation Energies in Two-Dimensional $N$-component Electron Gas Ferromagnetism
• Polarizational stopping power of heavy-ion diclusters in two-dimensional electron liquids
• Study of two-dimensional electron systems in the renormalized-ring-diagram approximation
• Spontaneous spin polarization in doped semiconductor quantum wells
• Critical gate distance for Wigner crystallization in the two-dimensional electron gas
• Wigner crystallization at graphene edges
• Construction of energy density functional for arbitrary spin polarization using functional renormalization group
• Charge Density Waves in a Quantum Plasma
• Interacting holes in a gated WSe${}_2$ quantum channel: valley correlations and zigzag Wigner crystal
• On the validity of power functionals for the homogeneous electron gas in reduced.density-matrix-functional theory
• The effective mass and g-factor of the strongly correlated 2-D electron fluid. Evidence for a coupled-valley condensate in the Si system
• Ferromagnetism of electron gas
• Magnetism of the Bilayer Wigner Crystal
• Eliminating artificial boundary conditions in time-dependent density functional theory using Fourier contour deformation
• Analytic theory of pair distribution functions in symmetric electron-electron and electron-hole bilayers
• Electronic Crystal Phases in the Presence of Non-Uniform Berry Curvature and Tunable Berry Flux: The ${\lambda }_N$-Jellium model
• The two-dimensional homogeneous electron gas with symmetric dual-gate screening: exchange-correlation functional and other ground-state properties
• Spin susceptibility of two dimensional hole gases in GaAs/AlGaAs heterostructures
• Homogeneous electron gas in arbitrary dimensions
• Formation of spin droplet at nu = 5/2 in an asymmetric quantum dot under quantum Hall conditions
• Saturation of dephasing time in mesoscopic devices produced by a ferromagnetic state
• Stoner ferromagnetism in a momentum-confined interacting 2D electron gas
• Layer-thickness effects in quai-two dimensional electron liquids
• The role of the exchange-Coulomb potential in two-dimensional electron transport
• Zeeman splitting of interacting two-dimensional electrons with two effective masses
• Importance of electron-phonon coupling near the electron-liquid to Wigner-crystal transition in two-dimensional atomically thin materials
• Impact of Short-Range Scattering on the Metallic Transport of Strongly Correlated 2D Holes in GaAs Quantum Wells
• Spin precession and spin waves in a chiral electron gas: beyond Larmor's theorem
• Spin magnetization of strongly correlated electron gas confined in a two-dimensional finite lattice
• Density-functional approach to the band gaps of finite and periodic two-dimensional systems
• Robust translational invariance in topological bands against lattice potentials and disorders
• Pair distribution functions of the two-dimensional electron gas with two symmetric valleys
• Stoner Magnetism in an Inversion Layer
• Magnetoresistance and spin polarization in the insulating regime of a Si two-dimensional electron system
• Reentrant Bloch ferromagnetism
• The Classical-Map Hyper-Netted-Chain (CHNC) technique for inhomogeneous electron systems. Application to quantum dots
• Exchange Interactions of a Wigner Crystal in a Magnetic Field and Berry Curvature: Multi-Particle Tunneling through Complex Trajectories
• The light-matter correlation energy functional of the cavity-coupled two-dimensional electron gas via quantum Monte Carlo simulations
• Evidence for a New Intermediate Phase in a Strongly Correlated 2D System near Wigner Crystallization
• Stability of spin droplets in realistic quantum Hall devices
• Magnetism from multiparticle ring exchange in moiré Wigner crystals
• Anomalous Landau level gaps near magnetic transitions in monolayer WSe${}_2$
• Spin mechanism of drag resistance in strongly correlated electron liquids
• Hartree-Fock energy of a density wave in a spin polarized two-dimensional electron gas
• Stoner-type theory of Magnetism in Silicon MOSFETs
• Engineering Hubbard models with gated two-dimensional moiré systems
• Effective Summation and Interpolation of Series by Self-Similar Root Approximants
• Quantum Wigner solid in two-dimensional electron systems in semiconductors
• Spin-triplet paired Wigner crystal stabilized by quantum geometry
• Quantum melting a Wigner crystal into Hall liquids
• Intra pseudogap- and superconductivity-pair spin and charge fluctuations and underdome metal-insulator (fermion-boson)-crossover phenomena as keystones of cuprate physics