A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model
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🧮 math-ph
cond-mat.stat-mechmath.APmath.MP
keywords
dimensionalexcitationsheisenberginterfacemodelquantumappropriateapproximation
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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 an suitable domain.
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