A Variational Study of the Ground State of Frustrated Quantum Spin Models

Abstract

A variational study of the ground state of the antiferromagnetic spin 1/2 XY and Heisenberg models is presented. The present approach to the quantum spin system is complementary to what has done by Anderson and Fazekas. In the present approach the obtained ground state wave functions show a kind of sublattice order. A consideration on properties of the true ground state of the Heisenberg system is also presented.