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Quantum Monte Carlo for Spin Glasses and Related 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

We use the Suzuki-Trotter transformation to obtain d+l-dimensional classical representations for the corresponding quantum systems. For one-dimensional disordered quantum XY and Heisenberg chains we demonstrate the usefulness of the transfer matrix method. In two dimensions we had to rely on a Monte Carlo procedure. Results are shown for the XY and a spin-glass model. The applications of the method to fermion systems is discussed.

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References

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Authors and Affiliations

  1. Institut für Theoretische Physik, Ruprecht Karls Universität, Philosophenweg 19, D-6900, Heidelberg, Fed. Rep. of Germany

    I. Morgenstern & D. Würtz

  2. Institute for Theoretical Physics, University of California, Santa Barbara, CA, 93106, USA

    I. Morgenstern

Authors
  1. I. Morgenstern
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  2. D. Würtz
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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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Morgenstern, I., Würtz, D. (1987). Quantum Monte Carlo for Spin Glasses and Related 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_16

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  • DOI: https://doi.org/10.1007/978-3-642-83154-6_16

  • 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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