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) MedlineRefWorks
PT Journal Article
TI Diagrammatic Monte Carlo method as applied to the polaron problems
AU Mishchenko A S
FAU Mishchenko AS
DP 10 Sep, 2005
TA Phys. Usp.
VI 48
IP 9
PG 887-902
RX 10.1070/PU2005v048n09ABEH002632
SO Phys. Usp. 2005 Sep 10;48(9):887-902

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

References (109) Cited by (21)

© 1918–2020 Uspekhi Fizicheskikh Nauk
Email: Editorial office contacts About the journal Terms and conditions