We investigate the stability with respect to phase separation or charge-density-wave formation of the two-dimensional Hubbard model for various values of the local Coulomb repulsion and electron densities using Green-function Monte Carlo techniques. The well known sin problem is particularly serious in the relevant region of small hole doping. We show that the difference in accuracy for different doping makes it very difficult to probe the phase separation instability using only energy calculations, even in the weak-coupling limit (U=4t) where reliable results are available. By contrast, the knowledge of the charge correlation functions allows us to provide clear evidence of a spatially homogeneous ground state up to U=10t.

Spatially homogeneous ground-state of the two-dimensional Hubbard model / Becca, Federico; Capone, Massimo; Sorella, Sandro. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 62:19(2000), pp. 12700-12706. [10.1103/PhysRevB.62.12700]

Spatially homogeneous ground-state of the two-dimensional Hubbard model

Becca, Federico;Capone, Massimo;Sorella, Sandro
2000-01-01

Abstract

We investigate the stability with respect to phase separation or charge-density-wave formation of the two-dimensional Hubbard model for various values of the local Coulomb repulsion and electron densities using Green-function Monte Carlo techniques. The well known sin problem is particularly serious in the relevant region of small hole doping. We show that the difference in accuracy for different doping makes it very difficult to probe the phase separation instability using only energy calculations, even in the weak-coupling limit (U=4t) where reliable results are available. By contrast, the knowledge of the charge correlation functions allows us to provide clear evidence of a spatially homogeneous ground state up to U=10t.
2000
62
19
12700
12706
http://link.aps.org/doi/10.1103/PhysRevB.62.12700
https://arxiv.org/abs/cond-mat/0010165
Becca, Federico; Capone, Massimo; Sorella, Sandro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12298
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