Polaron Problem by Diagrammatic Quantum Monte Carlo

1998/04/08 by Nikolay Prokof’ev, Nikolai V. Prokof'ev, Boris Svistunov +1 · 7 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat

paper · pdf · doi:10.1103/physrevlett.81.2514

published as Phys. Rev. Lett. 81, p. 2514 (1998). · Latex, 4 pages, 5 figures

arxiv created 1998/04/08 · openalex publication_date 1998/09/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a numerical solution of the polaron problem by a novel Monte Carlo method. Starting from a conventional diagrammatic expansion for the polaron Green function G(k,\ensuremathτ), we construct a process which generates continuous random variables k and \ensuremathτ, with a distribution function coinciding exactly with G(k,\ensuremathτ). The polaron spectrum is extracted from the asymptotic behavior of the Green function. We compare our results for the polaron energy with the variational treatment of Feynman, and present an accurate dispersion curve which features an end point at finite momentum.

Citations

• Slow Electrons in Polar Crystals: Self-Energy, Mass, and Mobility

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