Vi. Belinicher et Lv. Popovich, QUARTET STATE OF THE 2-DIMENSIONAL HEISENBERG-MODEL WITH THE SPIN-1 2ON A SQUARE LATTICE/, International journal of modern physics b, 8(16), 1994, pp. 2203-2219
The low-energy properties of the two-dimensional Heisenberg model with
spin-1/2 on a square lattice are investigated on the basis of the loc
al dimer order. The lattice is divided into square blocks consisting o
f the quarters of spins. The spin variables and the Heisenberg Hamilto
nian are expressed in terms of the low-energy quartet variables. On th
e basis of the Dyson-Maleev representation, the spin-wave theory of th
e quartet state is developed. The spectrum of the lower magnon excitat
ions consists of three degenerate modes with the energy gap DELTA = 0.
17J. The ground state energy per spin E/N = -0.6J. Calculations of the
basic corrections make the work complete.