Spatially homogeneous ground state of the two-dimensional Hubbard model

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

2000-10-11

arxiv.org/abs/cond-mat/0010165v1

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages and 5 figures. Phys. Rev. B, to appear 2000

Scientific paper

10.1103/PhysRevB.62.12700

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 sign 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 $U=10t$.

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