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

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.

Bibliographic Details
Main Authors:	Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele, Shannon Starr
Format:	Article
Language:	English
Published:	Texas State University 2000-07-01
Series:	Electronic Journal of Differential Equations
Subjects:	Anisotropic Heisenberg ferromagnet XXZ model interface excitations 111 interface.
Online Access:	http://ejde.math.txstate.edu/conf-proc/04/b1/abstr.html

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spelling	doaj-1d36b94fcd33469788a1c4454f01b0b22020-11-24T20:57:15ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912000-07-01Conference04110A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg modelOscar BolinaPierluigi ContucciBruno NachtergaeleShannon StarrIt 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. http://ejde.math.txstate.edu/conf-proc/04/b1/abstr.htmlAnisotropic Heisenberg ferromagnetXXZ modelinterface excitations111 interface.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Oscar Bolina Pierluigi Contucci Bruno Nachtergaele Shannon Starr
spellingShingle	Oscar Bolina Pierluigi Contucci Bruno Nachtergaele Shannon Starr A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model Electronic Journal of Differential Equations Anisotropic Heisenberg ferromagnet XXZ model interface excitations 111 interface.
author_facet	Oscar Bolina Pierluigi Contucci Bruno Nachtergaele Shannon Starr
author_sort	Oscar Bolina
title	A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model
title_short	A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model
title_full	A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model
title_fullStr	A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model
title_full_unstemmed	A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model
title_sort	continuum approximation for the excitations of the (1,1,...,1) interface in the quantum heisenberg model
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2000-07-01
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 a suitable domain.
topic	Anisotropic Heisenberg ferromagnet XXZ model interface excitations 111 interface.
url	http://ejde.math.txstate.edu/conf-proc/04/b1/abstr.html
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A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model

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