Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-04-18
Prog. Theor. Phys. Suppl. 145, 339 (2002)
Physics
Condensed Matter
Disordered Systems and Neural Networks
6 pages, 3 figures. to appear in Prog. Theor. Phys. Suppl
Scientific paper
10.1143/PTPS.145.339
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 $\tilde{J}_{\rm af}$ between the edge spins of the diluted bond through the two-dimensional shortest paths. The competition between $\tilde{J}_{mn}$ and $\tilde{J}_{\rm af}$ yields peculiar phenomena in the bond-diluted system.
Matsumoto Munehisa
Takayama Hajime
Todo Synge
Yasuda Chitoshi
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