An. Kalinkin et Vm. Skorikov, STOCHASTIC QUANTIZATION OF THE 2D HUBBARD-MODEL - A NEW APPROACH TO ASSESSING THE EFFECT OF LOCAL AND NONLOCAL FIELDS IN HIGH-T-C OXIDES, Inorganic materials, 34(11), 1998, pp. 1114-1118
A new approach was proposed for calculating matrix elements of Green's
function in local and bilocal external fields for the 2D Hubbard mode
l using the quantum-mechanical Monte Carlo method. This approach, comb
ined with stochastic quantization, was used to determine the energy an
d spin-spin correlation function [(SiSjz)-S-z] for a 4 x 4 lattice in
a local field. The simulation yielded the same dependences of these qu
antities on the repulsion parameter and inverse temperature as were pr
edicted by earlier calculations.