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Uspekhi Fizicheskikh Nauk, 2005, Volume 175, Number 9, Pages 925–942
DOI: https://doi.org/10.3367/UFNr.0175.200509b.0925
(Mi ufn216)
 

This article is cited in 35 scientific papers (total in 35 papers)

REVIEWS OF TOPICAL PROBLEMS

Diagrammatic Monte Carlo method as applied to the polaron problems

A. S. Mishchenkoab

a Russian Research Centre "Kurchatov Institute"
b CREST, Japan Science and Technology Agency (JST), AIST, Tsukuba, Ibaraki, Japan
References:
Abstract: Numerical methods whereby exact solutions to the problem of a few particles interacting with one another and with several bosonic excitation branches are presented. The diagrammatic Monte Carlo method allows the exact calculation of the Matsubara Green function, and the stochastic optimization technique provides an approximation-free analytic continuation. In this review, results unobtainable by conventional methods are discussed, including the properties of excited states in the self-trapping phenomenon, the optical spectra of polarons in all coupling regimes, the validity range analysis of the Frenkel and Wannier approximations relevant to the exciton, and the peculiarities of photoemission spectra of a lattice-coupled hole in a Mott insulator.
Received: February 17, 2005
English version:
Physics–Uspekhi, 2005, Volume 48, Issue 9, Pages 887–902
DOI: https://doi.org/10.1070/PU2005v048n09ABEH002632
Bibliographic databases:
Document Type: Article
PACS: 02.70.Uu, 71.35.-y, 71.38.-k, 74.72.-b
Language: Russian
Citation: A. S. Mishchenko, “Diagrammatic Monte Carlo method as applied to the polaron problems”, UFN, 175:9 (2005), 925–942; Phys. Usp., 48:9 (2005), 887–902
Citation in format AMSBIB
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\by A.~S.~Mishchenko
\paper Diagrammatic Monte Carlo method as applied to the polaron problems
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\vol 175
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\pages 925--942
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\crossref{https://doi.org/10.3367/UFNr.0175.200509b.0925}
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\transl
\jour Phys. Usp.
\yr 2005
\vol 48
\issue 9
\pages 887--902
\crossref{https://doi.org/10.1070/PU2005v048n09ABEH002632}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000234905700002}
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  • https://www.mathnet.ru/eng/ufn216
  • https://www.mathnet.ru/eng/ufn/v175/i9/p925
  • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи физических наук Physics-Uspekhi
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