Effective mass of quasiparticles from thermodynamics

Abstract

We discuss the potential advantages of calculating the effective mass of quasiparticles in the interacting electron liquid from the low-temperature free energy vis-a-vis the conventional approach, in which the effective mass is obtained from approximate calculations of the self-energy, or from a quantum Monte Carlo evaluation of the energy of a variational "quasiparticle wave function". While raw quantum Monte Carlo data are presently too sparse to allow for an accurate determination of the effective mass, the values estimated by this method are numerically close to the ones obtained in previous calculations using diagrammatic many-body theory. In contrast to this, a recently published parametrization of quantum Monte Carlo data for the free energy of the homogeneous electron liquid yields effective masses that considerably deviate from previous calculations and even change sign for low densities, reflecting an unphysical negative entropy. We suggest that this anomaly is related to the treatment of the exchange energy at finite temperature.

7 pages, 4 figures

References in corpus (7)

• Path Integral Monte Carlo Simulation of the Warm-Dense Homogeneous Electron Gas
• {\em Ab initio} Quantum Monte Carlo simulation of the warm dense electron gas in the thermodynamic limit
• Free Energy of the Uniform Electron Gas: Testing Analytical Models against First Principle Results
• Improved analytical representation of combinations of Fermi-Dirac integrals for finite-temperature density functional calculations
• Diffusion quantum Monte Carlo calculation of the quasiparticle effective mass of the two-dimensional homogeneous electron gas
• Functional theories of thermoelectric phenomena
• Dielectric function and thermodynamic properties of jellium in the GW approximation

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• The Uniform Electron Gas at Warm Dense Matter Conditions
• Ab initio simulation of warm dense matter
• Electronic Density Response of Warm Dense Matter
• The Free Electron Gas in Cavity Quantum Electrodynamics
• Dynamically screened vertex correction to $GW$
• $m^{\ast }$ of two-dimensional electron gas: a neural canonical transformation study
• Beyond--mean--field effective masses in the nuclear Fermi liquid from axial breathing modes
• 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
• Extended Einstein diffusion-mobility equation for two-dimensional Schrödinger-type quantum materials
• Thermodynamic properties of the finite-temperature electron gas by the fermionic path integral Monte Carlo method
• Effective Fermion Mass in Relativistic and Non-Relativistic Systems