Bm. Elrick et Ae. Jacobs, SINGLE-HOLE PROPERTIES IN THE T-J AND STRONG-COUPLING MODELS, Physical review. B, Condensed matter, 52(14), 1995, pp. 10369-10374
We report numerical results for the single-hole properties in the t-J
model and the strong-coupling approximation to the Hubbard model in tw
o dimensions. Using the hopping basis with over 10(6) states we discus
s (for an infinite system) the bandwidth, the leading Fourier coeffici
ents in the dispersion, the band masses, and the spin-spin correlation
s near the hole. We compare our results with those obtained by other m
ethods. The band minimum is found to be at (pi/2, pi/2) for the t-J mo
del for 0.1 less than or equal to t/J less than or equal to 10, and fo
r the strong-coupling model for 1 less than or equal to t/J less than
or equal to 10. The bandwidth in both models is approximately 2J at la
rge t/J, in rough agreement with loop-expansion results but in disagre
ement with other results. The strong-coupling bandwidth for t/J greate
r than or similar to, 6 can be obtained from the t-J model by treating
the three-site terms in first-order perturbation theory. The dispersi
on along the magnetic zone face is flat, giving a large parallel/perpe
ndicular band mass ratio.