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Perturbation expansions for quantum many-body systems

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Abstract

A systematic method for developing high-order, zero-temperature perturbation expansions for quantum many-body systems is presented. The models discussed explicitly are spin models with a variety of interactions, in one and two dimensions. The wide applicability of the method is illustrated by expansions around Hamiltonians with ordered and disordered ground states, namely Ising and dimerized models. Computer implementation of this method is discussed in great detail. Some previously unpublished series are tabulated.

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Author notes

  1. Martin P. Gelfand

    Present address: Physics Department, University of California, 90024, Los Angeles, California

  2. Rajiv R. P. Singh

    Present address: Physics Department, University of California, 95616, Davis, California

Authors and Affiliations

  1. Institute for Physical Science and Technology, University of Maryland, 20742, College Park, Maryland

    Martin P. Gelfand

  2. AT&T Bell Laboratories, 07974, Murray Hill, New Jersey

    Rajiv R. P. Singh & David A. Huse

Authors
  1. Martin P. Gelfand
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  2. Rajiv R. P. Singh
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  3. David A. Huse
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Gelfand, M.P., Singh, R.R.P. & Huse, D.A. Perturbation expansions for quantum many-body systems. J Stat Phys 59, 1093–1142 (1990). https://doi.org/10.1007/BF01334744

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