Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele,
& Shannon Starr
Abstract:
It is shown that, with an appropriate scaling, the energy of low-lying
excitations of the (1, 1, . . . ,1) interface in the d-dimensional
quantum Heisenberg model are given by the spectrum of the (d-1)-dimensional
Laplacian on a suitable domain.
Published July 12, 2000.
Mathematics Subject Classifications: 82B10, 82B24, 82D40.
Key words: Anisotropic Heisenberg ferromagnet, XXZ model,
interface excitations, 111 interface.
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Oscar Bolina Department of Mathematics University of California, Davis Davis CA 95616-8633 e-mail: bolina@math.ucdavis.edu |
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Pierluigi Contucci Department of Mathematics University of California, Davis Davis CA 95616-8633 e-mail: contucci@math.ucdavis.edu |
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Bruno Nachtergaele Department of Mathematics University of California, Davis Davis CA 95616-8633 e-mail: bxn@math.ucdavis.edu |
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Shannon Starr Department of Mathematics University of California, Davis Davis CA 95616-8633 e-mail: sstarr@math.ucdavis.edu |