Quantum Monte Carlo calculation of the energy band and quasiparticle effective mass of the two-dimensional Fermi fluid

Abstract

We have used the diffusion quantum Monte Carlo method to calculate the energy band of the two-dimensional homogeneous electron gas (HEG), and hence we have obtained the quasiparticle effective mass and the occupied bandwidth. We find that the effective mass in the paramagnetic HEG increases significantly when the density is lowered, whereas it decreases in the fully ferromagnetic HEG. Our calculations therefore support the conclusions of recent experimental studies [Y.-W. Tan et al., Phys. Rev. Lett. 94, 016405 (2005); M. Padmanabhan et al., Phys. Rev. Lett. 101, 026402 (2008); T. Gokmen et al., Phys. Rev. B 79, 195311 (2009)]. We compare our calculated effective masses with other theoretical results and experimental measurements in the literature.

References in corpus (7)

• Jastrow correlation factor for atoms, molecules, and solids
• Inhomogeneous backflow transformations in quantum Monte Carlo calculations
• Measurements of the density-dependent many-body electron mass in 2D GaAs/AlGaAs Heterostructures
• Effective mass suppression in dilute, spin-polarized two-dimensional electron systems
• Quantum Monte Carlo study of the ground state of the two-dimensional Fermi fluid
• Spin Polarization Dependence of Carrier Effective Mass in Semiconductor Structures: Spintronic Effective Mass
• Effective mass suppression upon complete spin-polarization in an isotropic two-dimensional electron system

Cited by in corpus (18)

• Variational and Diffusion Quantum Monte Carlo Calculations with the CASINO Code
• Convergence of many-body wavefunction expansions using a plane wave basis: from the homogeneous electron gas to the solid state
• Investigation of the Full Configuration Interaction Quantum Monte Carlo Method Using Homogeneous Electron Gas Models
• Evidence from quantum Monte Carlo of large gap superfluidity and BCS-BEC crossover in double electron-hole layers
• Evidence for effective mass reduction in GaAs/AlGaAs quantum wells
• Dynamically screened vertex correction to $GW$
• Contrast between spin and valley degrees of freedom
• Microwave-induced resistance oscillations in a back-gated GaAs quantum well
• Diffusion quantum Monte Carlo calculation of the quasiparticle effective mass of the two-dimensional homogeneous electron gas
• Finite-size analysis of the Fermi liquid properties of the homogeneous electron gas
• An optimized twist angle to find the twist-averaged correlation energy applied to the uniform electron gas
• Effective Mass and Spin Susceptibility of Dilute Two-Dimensional Holes in GaAs
• Renormalization of the conduction band spectrum in HgTe quantum wells by electron-electron interaction
• $m^{\ast }$ of two-dimensional electron gas: a neural canonical transformation study
• Quantum Monte Carlo calculation of the Fermi liquid parameters of the two-dimensional homogeneous electron gas
• Quasiparticle velocities in 2D electron/hole liquids with spin-orbit coupling
• Quantum Monte Carlo study of the quasiparticle effective mass of the two-dimensional uniform electron liquid
• The electron effective mass in the strongly correlated 2D-uniform electron fluid from finite-temperature calculations