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Decoupled Cell Monte Carlo Method for Quantum Spin Systems

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Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 74))

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Abstract

A decoupled cell method is proposed as a new method of Monte Carlo simulation for quantum spin systems. Thermodynamic quantities such as internal energy, in-plane and out-of-plane susceptibilities and spin pair correlation functions are calculated by this method in the 1D XY model. The results obtained agree well with the exact ones except for very low temperatures, indicating the validity of this method. Further application of this method strongly suggests (1) the existence of a phase transition in the quantum XY model on the square lattice similar to the Kosterlitz-Thouless transition in the classical XY model, and (2) the existence of a sublattice structure composed of three lattices which is short-ranged both spatially and temporally in the antiferromagnetic Heisenberg model on the triangular lattice.

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Author information

Authors and Affiliations

  1. Department of Applied Physics, Nagoya University, Nagoya 464, Japan

    S. Homma

  2. Department of Physics, Nagoya University, Nagoya 464, Japan

    K. Sano

  3. Department of Biology, Kyushu University, Fukuoka 812, Japan

    H. Matsuda

  4. The Institute of Physical and Chemical Research, Wako, 351-01, Japan

    N. Ogita

Authors
  1. S. Homma
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  2. K. Sano
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  3. H. Matsuda
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  4. N. Ogita
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Editor information

Editors and Affiliations

  1. Faculty of Science, Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan

    Masuo Suzuki

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© 1987 Springer-Verlag Berlin Heidelberg

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Homma, S., Sano, K., Matsuda, H., Ogita, N. (1987). Decoupled Cell Monte Carlo Method for Quantum Spin Systems. In: Suzuki, M. (eds) Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems. Springer Series in Solid-State Sciences, vol 74. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83154-6_15

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  • DOI: https://doi.org/10.1007/978-3-642-83154-6_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83156-0

  • Online ISBN: 978-3-642-83154-6

  • eBook Packages: Springer Book Archive

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