Dilution Effects on Two-Dimensional Heisenberg Antiferromagnets with Non-Magnetic Spin-Gapped Ground State
Author(s) -
Chitoshi Yasuda,
Synge Todo,
Munehisa Matsumoto,
Hajime Takayama
Publication year - 2002
Publication title -
progress of theoretical physics supplement
Language(s) - English
Resource type - Journals
ISSN - 0375-9687
DOI - 10.1143/ptps.145.339
Subject(s) - spins , ground state , dilution , antiferromagnetism , condensed matter physics , singlet state , physics , spin (aerodynamics) , heisenberg model , coupling (piping) , quantum , quantum mechanics , materials science , thermodynamics , metallurgy , excited state
Dilution effects on spin-1/2 quantum Heisenberg antiferromagnets with anon-magnetic spin-gapped ground state are studied by means of the qunatum MonteCarlo simulation. In the site-diluted system, an antiferromagnetic long-rangeorder (AF-LRO) is induced at an infinitesimal concentration of dilution due toan effective coupling $\tilde{J}_{mn}$ between induced magnetic moments. In thebond-diluted case, on the other hand, the AF-LRO is not induced up to a certainconcentration of dilution due to singlet pairs reformed by an AF coupling$\tilde{J}_{\rm af}$ between the edge spins of the diluted bond through thetwo-dimensional shortest paths. The competition between $\tilde{J}_{mn}$ and$\tilde{J}_{\rm af}$ yields peculiar phenomena in the bond-diluted system.Comment: 6 pages, 3 figures. to appear in Prog. Theor. Phys. Supp
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