Effect of Randomness in Low-Dimensional Quantum Spin Systems : Ground-State of the Two-Dimensional Heisenberg Mattis Model
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概要
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As a starting point of the study on quantum spin-glass systems, the two-dimensional S=1/2 asymmetric Heisenberg Mattis model on a square lattice is investigated. The Neel order parameter and the spin-glass order parameter are calculated using the exact-diagonalization method up to the 26-spin cluster. The finite-size scaling holds well as in the pure Heisenberg antiferromagnet, and the antiferromagnetic critical concentration (the Neel-Mattis spin-glass phase boundary) is estimated as p^<AF>_c=0.14±0.01, which is close to that of the two-dimensional Ising Mattis model on the same lattice, p^<AF>_c≃0.147. Moreover, the spin-glass order parameter is not weakened or destroyed by the coexistence of quantum fluctuation and randomness. These facts show that quantum fluctuation does not play an essential role in two-dimensional non-frustrated random spin systems.quantum spin systemground staterandomnessMattis modelspin-glass order
- 東北大学の論文
- 1995-03-20
著者
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NONOMURA Yoshihiko
The Institute of Physical and Chemical Research (RIKEN)
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Nonomura Yoshihiko
Department Of Physics Tokyo Institute Of Technology:institute Of Physical And Chemical Research
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Nonomura Yoshihiko
Magnetic Materials Laboratory Institute Of Physical And Chemical Research (riken)
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Nonomura Yoshihiko
Department Of Physics Faculty Of Science University Of Tokyo
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Nonomura Yoshihiko
Magnetic Materials Laboratory,Institute of Physical and Chemical Research (RIKEN)
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NONOMURA Yoshihiko
Computational Materials Science Center, National Institute for Materials Science
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