Dilution Effects on Two-Dimensional Heisenberg Antiferromagnets with Non-Magnetic Spin-Gapped Ground State

Dilution effects on spin-1/2 quantum Heisenberg antiferromagnets with a non-magnetic spin-gapped ground state are studied by means of the qunatum Monte Carlo simulation. In the site-diluted system, an antiferromagnetic long-range order (AF-LRO) is induced at an infinitesimal concentration of dilution due to an effective coupling ${\tilde{J}}_{mn}$ between induced magnetic moments. In the bond-diluted case, on the other hand, the AF-LRO is not induced up to a certain concentration of dilution due to singlet pairs reformed by an AF coupling ${\tilde{J}}_{\mathrm{a}\mathrm{f}}$ between the edge spins of the diluted bond through the two-dimensional shortest paths. The competition between ${\tilde{J}}_{mn}$ and ${\tilde{J}}_{\mathrm{a}\mathrm{f}}$ yields peculiar phenomena in the bond-diluted system.