Quasiparticle Effective Mass of the Three-Dimensional Fermi Liquid by Quantum Monte Carlo

Abstract

According to Landau's Fermi liquid theory, the main properties of the quasiparticle excitations of an electron gas are embodied in the effective mass $m^{\ast }$, which determines the energy of a single quasiparticle, and the Landau interaction function, which indicates how the energy of a quasiparticle is modified by the presence of other quasiparticles. This simple paradigm underlies most of our current understanding of the physical and chemical behavior of metallic systems. The quasiparticle effective mass of the three-dimensional homogeneous electron gas has been the subject of theoretical controversy and there is a lack of experimental data. In this work, we deploy diffusion Monte Carlo (DMC) methods to calculate $m^{\ast }$ as a function of density for paramagnetic and ferromagnetic three-dimensional homogeneous electron gases. The DMC results indicate that $m^{\ast }$ decreases when the density is reduced, especially in the ferromagnetic case. The DMC quasiparticle energy bands exclude the possibility of a reduction in the occupied bandwidth relative to that of the free-electron model at density parameter $r_s=4$, which corresponds to Na metal.

Accepted for the publication

References in corpus (28)

• Feshbach Resonances in Ultracold Gases
• Quantum Monte Carlo methods for nuclear physics
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Exploring the Thermodynamics of a Universal Fermi Gas
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Jastrow correlation factor for atoms, molecules, and solids
• Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series
• Optimization of quantum Monte Carlo wave functions by energy minimization
• Inhomogeneous backflow transformations in quantum Monte Carlo calculations
• Effects of Backflow Correlation in the Three-Dimensional Electron Gas: Quantum Monte Carlo Study
• Finite-size errors in continuum quantum Monte Carlo calculations
• Observation of spin Coulomb drag in a two-dimensional electron gas
• A Full Configuration Interaction Perspective on the Homogeneous Electron Gas
• A variance-minimization scheme for optimizing Jastrow factors
• Variational and Diffusion Quantum Monte Carlo Calculations with the CASINO Code
• Fermi-Liquid Behavior of the Normal Phase of a Strongly Interacting Gas of Cold Atoms
• Quantum Monte Carlo study of the three-dimensional spin-polarized homogeneous electron gas
• Pair distribution function of the spin-polarized electron gas: A first-principles analytic model for all uniform densities
• 2D condensate of electrons and holes in ultrathin MoTe${}_2$ photocells
• The momentum distribution of the homogeneous electron gas
• Superfluid Fermi atomic gas as a quantum simulator for the study of neutron-star equation of state
• Why is the bandwidth of sodium observed to be narrower in photoemission experiments?
• Correlation energies of the high-density spin-polarized electron gas to meV accuracy
• Diffusion quantum Monte Carlo calculation of the quasiparticle effective mass of the two-dimensional homogeneous electron gas
• An efficient method for grand-canonical twist averaging in quantum Monte Carlo calculations
• Quasiparticle Effective Mass for the Two- and Three-Dimensional Electron Gas
• Dielectric function and thermodynamic properties of jellium in the GW approximation
• Single-particle excitations in the uniform electron gas by diagrammatic Monte Carlo

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• Low-density Phase Diagram of the Three-Dimensional Electron Gas
• Introducing screening in one-body density matrix functionals: impact on the Extended Koopmans' Theorem's charged excitations of model systems
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• $m^{\ast }$ of two-dimensional electron gas: a neural canonical transformation study
• Quantum Monte Carlo study of the role of p-wave interactions in ultracold repulsive Fermi gases
• Correlation energy of the paramagnetic electron gas at the thermodynamic limit
• Quantum Monte Carlo and perturbative study of two-dimensional Bose-Fermi mixtures
• Low-energy peak in the one-particle spectral function of the electron gas at metallic densities
• Quantum Monte Carlo study of the quasiparticle effective mass of the two-dimensional uniform electron liquid
• Approaching Periodic Systems in Ensemble Density Functional Theory via Finite One-Dimensional Models
• Correlation energy of the spin-polarized electron liquid by quantum Monte Carlo
• Ground state correlations in the one-dimensional Fermi one-component plasma