Construction of size-consistent effective Hamiltonians for systems with arbitrary Hilbert space

Details Construction of size-consistent effective Hamiltonians for systems with arbitrary Hilbert space Construction of size-consistent effective Hamiltonians for systems with arbitrary Hilbert space

1999-09-22

arxiv.org/abs/cond-mat/9909317v1

J. Phys..: Condens. Matter 11 (1999) 8523

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 5 figures included; accepted for publication in J. Phys.: Condens. Matter

Scientific paper

10.1088/0953-8984/11/43/316

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.

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