Exact diagonalization study of the spin-1 two-dimensional $J_1$-$J_3$ Heisenberg model on a triangular lattice

P. Rubin; A. Sherman

doi:10.1016/j.physleta.2014.10.010

paper

Exact diagonalization study of the spin-1 two-dimensional $J_{1}$ - $J_{3}$ Heisenberg model on a triangular lattice

arXiv:1410.8429 · doi:10.1016/j.physleta.2014.10.010

Abstract

The spin-1 Heisenberg model on a triangular lattice with the ferromagnetic nearest- and antiferromagnetic third-nearest-neighbor exchange interactions, $J_{1} = - (1 - p) J$ and $J_{2} = p J$ , $J > 0$ $(0 \leq p \leq 1)$ , is studied with the use of the SPINPACK code. This model is applicable for the description of the magnetic properties of NiGa $_{2}$ S $_{4}$ . The ground, low-lying excited state energies and spin-spin correlation functions have been found for lattices with N=16 and N=20 sites with the periodic boundary conditions. These results are in qualitative agreement with earlier authors' results obtained with Mori's projection operator technique.

5 pages, 6 figures

References in corpus (1)

Magnetic properties of the spin-1 two-dimensional $J_{1} - J_{3}$ Heisenberg model on a triangular lattice

Exact diagonalization study of the spin-1 two-dimensional J1​-J3​ Heisenberg model on a triangular lattice

Abstract

References in corpus (1)

Exact diagonalization study of the spin-1 two-dimensional $J_{1}$ - $J_{3}$ Heisenberg model on a triangular lattice