Construction of size-consistent effective Hamiltonians for systems with arbitrary Hilbert space
Strongly Correlated Electrons
2009-10-31 v1
Abstract
Effective Hamiltonians are usually constructed by using canonical transformations or projection techniques. In contrast to this, we present a method for systems with arbitrary Hilbert space based on the introduction of cumulants. Cumulants guarantee size consistency, a property that is not always evident in other treatments. As a nontrivial example of use the derived method is applied to the strong-coupling limit of the half-filled Hubbard model on a general lattice in arbitrary spatial dimension for which the fourth-order expansion in t/U of the effective Hamiltonian is derived.
Keywords
Cite
@article{arxiv.cond-mat/9909317,
title = {Construction of size-consistent effective Hamiltonians for systems with arbitrary Hilbert space},
author = {Arnd Huebsch and Matthias Vojta and Klaus W. Becker},
journal= {arXiv preprint arXiv:cond-mat/9909317},
year = {2009}
}
Comments
9 pages, 5 figures included; accepted for publication in J. Phys.: Condens. Matter