Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-05-24
New J. Phys. 11 (2009) 083026
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, 2 figures (see also arXiv:0907.4646)
Scientific paper
We propose a new ansatz for the ground-state wave function of quantum many-body systems on a lattice. The key idea is to cover the lattice with plaquettes and obtain a state whose configurational weights can be optimized by means of a Variational Monte Carlo algorithm. Such a scheme applies to any dimension, without any "sign" instability. We show results for various two dimensional spin models (including frustrated ones). A detailed comparison with available exact results, as well as with variational methods based on different ansatzs is offered. In particular, our numerical estimates are in quite good agreement with exact ones for unfrustrated systems, and compare favorably to other methods for frustrated ones.
Boninsegni Massimo
Cirac Juan Ignacio
Mezzacapo Fabio
Schuch Norbert
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