15-05U
15-05U
Spin-1/2 $J_1-J_2$ Heisenberg model on frustrated rectangular lattice within Jordan-Wigner fermionization. Mean-field approach for the collinear antiferromagnetic order
The rectangular-lattice spin-1/2 Heisenberg model with nearest-neighbor, and next-nearest-neighbor interactions is considered by means of the Jordan-Wigner transformation. In the case of collinear striped antiferromagnetic phase we use a mean-field type approximation for phase factors as well as for the terms which describe the spinless fermion interaction in the fermionized Hamiltonian. The dependence of the magnetic order on frustration parameter is obtained in the ground-state at different values of directional anisotropy parameter. The obtained results are compared with the results of other methods.
