Yc. Chen et Zy. Weng, DOPING AN OPTIMIZED RESONANCE-VALENCE-BOND STATE - A PICTURE OF SPIN-CHARGE SEPARATION, Physical review. B, Condensed matter, 53(1), 1996, pp. 289-295
A systematic ''loop-gas'' formalism is developed for a general study o
f the resonance-valence-bond (RVB) states of a quantum antiferromagnet
. At half-filling, we obtain analytic, parameter-free RVB amplitudes w
hich reproduce virtually exact ground-state energy and spin excitation
spectrum. A doped hole is then modeled by a holon-spinon pair moving
on this optimized RVB background. Its energy is in excellent agreement
with other estimates on the finite lattice for t/J less than or equal
to 1. Such a pair wave function shows a finite amplitude even at infi
nite separation. Spin-charge separation and vanishing quasiparticle sp
ectral weight are discussed in this framework.