Ch. Choi et al., CONVERGENCE OF CONTINUED-FRACTION REPRESENTATION FOR THE GREENS-FUNCTION IN THE HUBBARD-MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(3), 1995, pp. 3221-3223
Using the operator algebra technique with a set of projection operator
s generated from the primary operator defined by Wilson's group [S. K.
Kim and R. S. Wilson, Phys. Rev. A 7, 1396 (1973)], we set up a conti
nued-fraction representation for the single-particle Green's function
in the Hubbard model. We find that, in a simple one-dimensional system
with five lattice points, at least one cutoff stage appears in the re
presentation.