A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model

Bolina, Oscar; Contucci, Pierluigi; Nachtergaele, Bruno; Starr, Shannon

A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model

Authors

Description

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.
Latex, 12 pages