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

Chitoshi Yasuda; Synge Todo; Munehisa Matsumoto; Hajime Takayama

doi:10.1143/PTPS.145.339

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

Disordered Systems and Neural Networks 2009-11-07 v1 Strongly Correlated Electrons

Authors: Chitoshi Yasuda , Synge Todo , Munehisa Matsumoto , Hajime Takayama

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Abstract

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.

Keywords

Heisenberg antiferromagnet quantum Monte Carlo dilution effect spin gap long-range order

Cite

@article{arxiv.cond-mat/0204397,
  title  = {Dilution Effects on Two-Dimensional Heisenberg Antiferromagnets with Non-Magnetic Spin-Gapped Ground State},
  author = {Chitoshi Yasuda and Synge Todo and Munehisa Matsumoto and Hajime Takayama},
  journal= {arXiv preprint arXiv:cond-mat/0204397},
  year   = {2009}
}

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6 pages, 3 figures. to appear in Prog. Theor. Phys. Suppl

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

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