Quantum Monte Carlo and variational approaches to the Holstein model

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dc.creatorHohenadler, Martin
dc.creatorEvertz, Hans Gerd
dc.creatorvon der Linden, Wolfgang
dc.date2003-05-16
dc.date2004-01-24
dc.date.accessioned2026-07-07T02:51:22Z
dc.date.available2026-07-07T02:51:22Z
dc.descriptionBased on the canonical Lang-Firsov transformation of the Hamiltonian we develop a very efficient quantum Monte Carlo algorithm for the Holstein model with one electron. Separation of the fermionic degrees of freedom by a reweighting of the probability distribution leads to a dramatic reduction in computational effort. A principal component representation of the phonon degrees of freedom allows to sample completely uncorrelated phonon configurations. The combination of these elements enables us to perform efficient simulations for a wide range of temperature, phonon frequency and electron-phonon coupling on clusters large enough to avoid finite-size effects. The algorithm is tested in one dimension and the data are compared with exact-diagonalization results and with existing work. Moreover, the ideas presented here can also be applied to the many-electron case. In the one-electron case considered here, the physics of the Holstein model can be described by a simple variational approach.
dc.description18 pages, 11 Figures, v2: one typo corrected
dc.identifierhttps://arxiv.org/abs/cond-mat/0305387
dc.identifierhttp://arxiv.org/abs/cond-mat/0305387
dc.identifierPRB 69, 024301 (2004)
dc.identifierdoi:10.1103/PhysRevB.69.024301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21428
dc.subjectStrongly Correlated Electrons
dc.titleQuantum Monte Carlo and variational approaches to the Holstein model
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