Perturbation expansions for quantum many-body systems |
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| Authors: | Martin P. Gelfand Rajiv R. P. Singh David A. Huse |
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| Affiliation: | (1) Institute for Physical Science and Technology, University of Maryland, 20742 College Park, Maryland;(2) Present address: Physics Department, University of California, 90024 Los Angeles, California;(3) AT&T Bell Laboratories, 07974 Murray Hill, New Jersey;(4) Present address: Physics Department, University of California, 95616 Davis, California |
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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 Some previously unpublished series are tabulated.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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| Keywords: | Quantum antiferromagnets series expansions many-body theory low-dimensional magnetism |
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