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Quantum Monte Carlo and variational approaches to the Holstein model | | Martin Hohenadler
; Hans Gerd Evertz
; Wolfgang von der Linden
; | | Date: |
16 May 2003 | | Journal: | PRB 69, 024301 (2004) DOI: 10.1103/PhysRevB.69.024301 | | Subject: | Strongly Correlated Electrons | cond-mat.str-el | | Abstract: | Based 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. | | Source: | arXiv, cond-mat/0305387 | | Services: | Forum | Review | PDF | Favorites | |
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