P. Sindzingre et al., VARIATIONAL RVB WAVE-FUNCTIONS FOR THE SPIN-1 2 J(1)-J(2) HEISENBERG-ANTIFERROMAGNET ON THE TRIANGULAR LATTICE/, Journal of physics. Condensed matter, 7(46), 1995, pp. 8805-8812
'Resonating-valence-bond' (RVB)variational wavefunctions are numerical
ly investigated in order to describe the ground state and the singlet
low-lying excited states of the spin-1/2, J(1)-J(2) Heisenberg antifer
romagnet with 1/8 less than or similar to J(2)/J(1) less than or simil
ar to 1 on triangular lattices of N = 4p sites compatible with the cla
ssical Neel orders. Comparison with previous exact diagonalization res
ults indicates that the singlet eigenstates associated with collinear
Neel order, among which the ground state is found, can be accurately d
escribed with appropriate superpositions of two-sublattice RVB trial s
tates, while the other singlet low-lying eigenstates associated with f
our-sublattice Neel order can be well approximated from the four-subla
ttice RVB trial states.