Diagonalization of a bosonic quadratic form using CCM: Application on a system with two interpenetrating square lattice antiferromagnets

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dc.creatorKrueger, Sven E.
dc.creatorSchmalfuss, Dirk
dc.creatorRichter, Johannes
dc.date2000-03-07
dc.date.accessioned2026-07-07T02:36:59Z
dc.date.available2026-07-07T02:36:59Z
dc.descriptionWhile the diagonalization of a quadratic bosonic form can always be done using a Bogoliubov transformation, the practical implementation for systems with a large number of different bosons is a tedious analytical task. Here we use the coupled cluster method (CCM) to exactly diagonalise such complicated quadratic forms. This yields to a straightforward algorithm which can easily be implemented using computer algebra even for a large number of different bosons. We apply this method on a Heisenberg system with two interpenetrating square lattice antiferromagnets, which is a model for the quasi 2D antiferromagnet Ba_2Cu_3O_4Cl_2. Using a four-magnon spin wave approximation we get a complicated Hamiltonian with four different bosons, which is treated with CCM. Results are presented for magnetic ground state correlations.
dc.description4 pages, 2 Postscript figures, to be published in acta physica polonica A (European Conference 'Physics of Magnetism 99')
dc.identifierhttps://arxiv.org/abs/cond-mat/0003105
dc.identifierhttp://arxiv.org/abs/cond-mat/0003105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16124
dc.subjectCondensed Matter
dc.titleDiagonalization of a bosonic quadratic form using CCM: Application on a system with two interpenetrating square lattice antiferromagnets
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