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

S. Azadi1,*, N. D. Drummond2, A. Principi1, R. V. Belosludov3, and M. S. Bahramy1

  • *Contact author: sam.azadi@manchester.ac.uk
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Phys. Rev. B 112, 075141 – Published 20 August, 2025

DOI: https://doi.org/10.1103/3wjg-y6qk

Abstract

The real-space variation quantum Monte Carlo (VMC) and diffusion quantum Monte Carlo (DMC) are used to calculate the energy bands and the 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=91, 139, and 151 for ferromagnetic systems. We consider 2D-UEL to be within the density range 1≤rs≤10. The VMC and DMC results predict that the effective mass m* of the paramagnetic 2D-UEL at high density rs=1 is very close to 1, suggesting that the effective mass renormalization due to electron-electron interaction is negligible. We find that m* of the paramagnetic 2D-UEL obtained by the VMC and DMC methods increases by rs but with different slopes. Our VMC and DMC results for ferromagnetic 2D-UEL indicate that m* decreases rapidly by reducing the density due to the strong suppression of the electron-electron interaction.

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Phys. Rev. B 112, 075141– Published 20 August, 2025
  • Received 7 May 2025
  • Revised 5 August 2025
  • Accepted 8 August 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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