Mathematical Physics and Quantum Field Theory
Electron. J. Diff. Eqns., Conf. 04, 2000, pp. 1-10.
A continuum approximation for the excitations of the (1, 1, . . . ,1)
interface in the quantum heisenberg model
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 |
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