Quasi-classical descendants of disordered vertex models with boundaries

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dc.creatorDi Lorenzo, Antonio
dc.creatorAmico, Luigi
dc.creatorHikami, Kazuhiro
dc.creatorOsterloh, Andreas
dc.creatorGiaquinta, Gaetano
dc.date2002-06-26
dc.date2002-10-24
dc.date.accessioned2026-07-07T06:31:05Z
dc.date.available2026-07-07T06:31:05Z
dc.descriptionWe study descendants of inhomogeneous vertex models with boundary reflections when the spin-spin scattering is assumed to be quasi--classical. This corresponds to consider certain power expansion of the boundary-Yang-Baxter equation (or reflection equation). As final product, integrable $su(2)$-spin chains interacting with a long range with $XXZ$ anisotropy are obtained. The spin-spin couplings are non uniform, and a non uniform tunable external magnetic field is applied; the latter can be obtained when the boundary conditions are assumed to be quasi-classical as well. The exact spectrum is achieved by algebraic Bethe ansatz. Having realized the $su(2)$ operators in terms of fermions, the class of models we found turns out to describe confined fermions with pairing force interactions. The class of models presented in this paper is a one-parameter extension of certain Hamiltonians constructed previously. Extensions to $su(n)$-spin open chains are discussed.
dc.description27 pages; 2 eps figures; elsart. Revised version, appendix C added
dc.identifierhttps://arxiv.org/abs/cond-mat/0206521
dc.identifierhttp://arxiv.org/abs/cond-mat/0206521
dc.identifierNucl.Phys. B644 (2002) 409-432
dc.identifierdoi:10.1016/S0550-3213(02)00811-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98510
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.subjectNuclear Theory
dc.titleQuasi-classical descendants of disordered vertex models with boundaries
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