Incremental expansions for the ground-state energy of the two-dimensional Hubbard model
- Max-Planck-Institute for Physics of Complex Systems, Noethnitzer Strasse 38, D-01187 Dresden (Germany)
- Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
A generalization of Faddeev{close_quote}s approach of the three-body problem to the many-body problem leads to the method of increments. This method was recently applied to account for the ground-state properties of Hubbard-Peierls chains [J. Malek, K. Kladko, and S. Flach, JETP Lett. {bold 67}, 1052 (1998)]. Here we generalize this approach to two-dimensional square lattices and explicitly treat the incremental expansion up to third order. Comparing our numerical results with various other approaches (Monte Carlo, cumulant approaches) we show that incremental expansions are very efficient because good accuracy with these approaches is achieved treating lattice segments composed of eight sites only. {copyright} {ital 1999} {ital The American Physical Society}
- OSTI ID:
- 321521
- Journal Information:
- Physical Review, B: Condensed Matter, Vol. 59, Issue 8; Other Information: PBD: Feb 1999
- Country of Publication:
- United States
- Language:
- English
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