Site dilution of quantum spins in the honeycomb and square lattices

Abstract

The effect of site dilution on the magnetization and on the density of states (DOS) of a spin- S antiferromagnetic Heisenberg-model in the honeycomb lattice is studied using linear spin wave theory. For a given value of dilution the linearized Hamiltonian is solved in real space. The DOS is computed using a modified version of the recursion method, usually used for fermionic systems. The finite-size scaling results for the magnetization in the Honeycomb lattice are in qualitative agreement with similar results obtained for the square lattice case. We apply our results to the description of dilution effects on the Néel temperature of Mn p Zn 1 - p PS 3 , a spin 5 2 Heisenberg antiferromagnet in an honeycomb lattice.