Transient-estimate Monte Carlo in the two-dimensional electron gas

Yongkyung Kwon, D. Ceperley

Research output: Contribution to journalArticlepeer-review


Energies of the ground state and low-lying excited states of the two-dimensional electron gas have been calculated by a transient-estimate Monte Carlo method. This is an exact fermion quantum Monte Carlo method that systematically improves upon the results of a variational energy without imposing nodal constraints. We focus upon the density (Formula presented)=1, where our previous variational Monte Carlo calculation found qualitative differences in the effective mass from other theoretical approaches. Starting from a wave function with backflow and two-body correlations, the best trial function in our previous variational study, we find a ground-state energy only very slightly lower than the previously reported backflow fixed-node energy, reinforcing the conclusion that backflow wave functions are quite accurate. The effective mass derived from excitation energies does not differ significantly from the variational Monte Carlo results, giving a value of (Formula presented)/m=0.93±0.01, so we conclude that the effective mass is indeed less than bare electron mass for a range of densities around (Formula presented)=1.

Original languageEnglish (US)
Pages (from-to)7376-7382
Number of pages7
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number11
StatePublished - 1996

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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