Diagrammatic Monte Carlo method as applied to the polaron problems

Cross-Correlated Materials Research Group (CMRG), ASI, RIKEN, Wako, Saitama , Japan

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.

Fulltext is available at IOP
PACS: 02.70.Uu, 71.35.−y, 71.38.−k, 74.72.−h (all)
DOI: 10.1070/PU2005v048n09ABEH002632
Citation: Mishchenko A S "Diagrammatic Monte Carlo method as applied to the polaron problems" Phys. Usp. 48 887–902 (2005)
BibTexBibNote ® (generic)BibNote ® (RIS)Medline RefWorks
RT Journal
T1 Diagrammatic Monte Carlo method as applied to the polaron problems
A1 Mishchenko,A.S.
PB Physics-Uspekhi
PY 2005
FD 10 Sep, 2005
JF Physics-Uspekhi
JO Phys. Usp.
VO 48
IS 9
SP 887-902
DO 10.1070/PU2005v048n09ABEH002632

Оригинал: Мищенко А С «Диаграммный метод Монте-Карло в применении к проблемам поляронов» УФН 175 925–942 (2005); DOI: 10.3367/UFNr.0175.200509b.0925

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