Quantum Monte Carlo study of the quasiparticle effective mass of the two-dimensional uniform electron liquid

Abstract

The real-space variation quantum Monte Carlo (VMC) and diffusion quantum Monte Carlo (DMC) are used to calculate the quasiparticle energy bands and the quasiparticle effective mass of the paramagnetic and ferromagnetic two-dimensional uniform electron liquid (2D-UEL)\@. The many-body finite-size errors are minimized by performing simulations for three system sizes with the number of electrons $N=146$, 218, and 302 for paramagnetic and $N=151$ for ferromagnetic systems. We consider 2D-UEL to be within the metallic density range $1\le r_s\le 5$. The VMC and DMC results predict that the quasiparticle effective mass $m^{\ast }$ of the paramagnetic 2D-UEL at high density $r_s=1$ is very close to 1, suggesting that effective mass renormalization due to electron-electron interaction is negligible. We find that $m^{\ast }$ of the paramagnetic 2D-UEL obtained by the VMC and DMC methods increases by $r_s$ but with different slopes. Our VMC and DMC results for ferromagnetic 2D-UEL indicate that $m^{\ast }$ decreases rapidly by reducing the density due to the strong suppression of the electron-electron interaction.

References in corpus (12)

• Jastrow correlation factor for atoms, molecules, and solids
• Path Integral Monte Carlo Simulation of the Warm-Dense Homogeneous Electron Gas
• Inhomogeneous backflow transformations in quantum Monte Carlo calculations
• {\em Ab initio} Quantum Monte Carlo simulation of the warm dense electron gas in the thermodynamic limit
• Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas
• Measurements of the density-dependent many-body electron mass in 2D GaAs/AlGaAs Heterostructures
• Discovering Quantum Phase Transitions with Fermionic Neural Networks
• Effective mass suppression in dilute, spin-polarized two-dimensional electron systems
• Diffusion quantum Monte Carlo calculation of the quasiparticle effective mass of the two-dimensional homogeneous electron gas
• Quasiparticle Effective Mass of the Three-Dimensional Fermi Liquid by Quantum Monte Carlo
• Quantum Monte Carlo study of the phase diagram of the two-dimensional uniform electron liquid
• Theory of Coulomb driven nematicity in a multi-valley two-dimensional electron gas

Cited by in corpus (1)

• Electronic Crystal Phases in the Presence of Non-Uniform Berry Curvature and Tunable Berry Flux: The ${\lambda }_N$-Jellium model