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
Pierluigi Contucci
Department of Mathematics
University of California, Davis
Davis CA 95616-8633
e-mail: contucci@math.ucdavis.edu
Bruno Nachtergaele
Department of Mathematics
University of California, Davis
Davis CA 95616-8633
e-mail: bxn@math.ucdavis.edu
Shannon Starr
Department of Mathematics
University of California, Davis
Davis CA 95616-8633
e-mail: sstarr@math.ucdavis.edu

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