Quasiparticle self-energy and many-body effective mass enhancement in a two-dimensional electron liquid

Abstract

Motivated by a number of recent experimental studies we have revisited the problem of the microscopic calculation of the quasiparticle self-energy and many-body effective mass enhancement in a two-dimensional electron liquid. Our systematic study is based on the many-body local fields theory and takes advantage of the results of the most recent Diffusion Monte Carlo calculations of the static charge and spin response of the electron liquid. We report extensive calculations of both the real and imaginary parts of the quasiparticle self-energy. We also present results for the many-body effective mass enhancement and the renormalization constant over an extensive range of electron density. In this respect we critically examine the relative merits of the on-shell approximation versus the self-consistent solution of the Dyson equation. We show that in the strongly-correlated regime a solution of the Dyson equation proves necessary in order to obtain a well behaved effective mass. The inclusion of both charge- and spin-density fluctuations beyond the Random Phase Approximation is indeed crucial to get reasonable agreement with recent measurements.

41 pages, 16 figures, 1 table, submitted

References in corpus (27)

• Metallic behavior and related phenomena in two dimensions
• Correlation energy and spin polarization in the 2D electron gas
• Zero Temperature Phases of the Electron Gas
• Magnetic Field Suppression of the Conducting Phase in Two Dimensions
• Spin Degree of Freedom in a Two-Dimensional Electron Liquid
• The low-density spin susceptibility and effective mass of mobile electrons in Si inversion layers
• Spin Susceptibility of an Ultra-Low Density Two Dimensional Electron System
• Indication of the ferromagnetic instability in a dilute two-dimensional electron system
• Sharp increase of the effective mass near the critical density in a metallic 2D electron system
• Instability of the Two-Dimensional Metallic Phase to Parallel Magnetic Field
• Spin Polarization of the Low Density 3D Electron Gas
• Scaling of the magnetoconductivity of silicon MOSFET's: evidence for a quantum phase transition in two dimensions
• Spin susceptibility of two-dimensional electrons in narrow AlAs quantum wells
• Spin polarization and g-factor of a dilute GaAs two-dimensional electron system
• Metal-insulator transition in 2D: resistance in the critical region
• Interaction Corrections to Two-Dimensional Hole Transport in Large $r_s$ Limit
• Spin-Polarization transition in the two dimensional electron gas
• Quantum magneto-oscillations in a two-dimensional Fermi liquid
• Analytical expressions for the charge-charge local-field factor and the exchange-correlation kernel of a two-dimensional electron gas
• Quasiparticle effective mass divergence in two dimensional electron systems
• Analytical expressions for the spin-spin local-field factor and the spin-antisymmetric exchange-correlation kernel of a two-dimensional electron gas
• Exchange-correlation potential for Current Density Functional Theory of frequency dependent linear response
• Effective mass enhancement in two-dimensional electron systems: the role of interaction and disorder effects
• Quantum Oscillations of Electrons and of Composite Fermions in Two Dimensions: Beyond the Luttinger Expansion
• Analytic theory of correlation energy and spin polarization in the 2D electron gas
• Screened Interaction and Self-Energy in an Infinitesimally Polarized Electron Gas via the Kukkonen-Overhauser Method
• Pair densities at contact in the quantum electron gas

Cited by in corpus (40)

• Graphene: A Pseudochiral Fermi Liquid
• Beyond the GW approximation: combining correlation channels
• Many-body effects in iron pnictides and chalcogenides -- non-local vs dynamic origin of effective masses
• Geometric control of universal hydrodynamic flow in a two dimensional electron fluid
• Fermi Velocity Enhancement in Monolayer and Bilayer Graphene
• Electron-electron interactions in decoupled graphene layers
• Plasmon mass and Drude weight in strongly spin-orbit-coupled 2D electron gases
• Renormalization factor and effective mass of the two-dimensional electron gas
• Evidence for effective mass reduction in GaAs/AlGaAs quantum wells
• Effective mass suppression in dilute, spin-polarized two-dimensional electron systems
• Quasiparticle effective mass divergence in two dimensional electron systems
• Spin polarized two-dimensional electron gas embedded in semimagnetic quantum well : ground state, spin responses, spin excitations, Raman spectrum
• Full Momentum and Energy Resolved Spectral Function of a 2D Electronic System
• Dynamically screened vertex correction to $GW$
• Effective Mass in Bilayer Graphene at Low Carrier Densities: the Role of Potential Disorder and Electron-Electron Interaction
• The effect of sublattice symmetry breaking on the electronic properties of a doped graphene
• One-electron spectra and susceptibilities of 3D electron gas from self-consistent solutions of Hedin's equations
• Quantum Monte Carlo calculation of the energy band and quasiparticle effective mass of the two-dimensional Fermi fluid
• Multiple electron-hole scattering effect on quasiparticle properties in a homogeneous electron gas
• Effect of disorder on the ground-state properties of graphene
• Spin and temperature dependent study of exchange and correlation in thick two-dimensional electron layers
• Microwave-induced resistance oscillations in a back-gated GaAs quantum well
• Finite-size analysis of the Fermi liquid properties of the homogeneous electron gas
• Quasiparticle properties of graphene in the presence of disorder
• Effective mass suppression in a ferromagnetic two-dimensional electron liquid
• Dependence of Effective Mass on Spin and Valley Degrees of Freedom
• $m^{\ast }$ of two-dimensional electron gas: a neural canonical transformation study
• Quasiparticle Mass Enhancement and Fermi Surface Shape Modification in Oxide Two-Dimensional Electron Gases
• Aharonov-Bohm Oscillations in Photoluminescence from Charged Exciton in Quantum Tubes
• Charge compressibility and quantum magnetic phase transition in MoS${}_2$
• Many-body exchange-correlation effects in MoS${}_2$ monolayer: The key role of nonlocal dielectric screening
• Ground-state energy and Wigner crystallization in thick 2D-electron systems
• Quantum Phase Transition in a Clean Two-Dimensional Electron System
• Spin polarization dependence of quasiparticle properties in graphene
• Integral charge quasiparticles in a fractional quantum Hall liquid
• Composite quasiparticles in strongly-correlated dipolar Fermi liquids
• The electron effective mass in the strongly correlated 2D-uniform electron fluid from finite-temperature calculations
• Decoupling of the many-body effects from the electron mass in GaAs by means of reduced dimensionality
• Dynamic correlations in the highly dilute 2D electron liquid: loss function, critical wave vector and analytic plasmon dispersion
• Itinerant electrons on dilute frustrated Ising lattices