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The success of models of coupled two-leg spin ladders in describing themagnetic excitation spectrum of La_{2-x}Ba_xCuO_4 had been interpretedpreviously as evidence for bond-centered stripes. In a recent article, however,we have determined the magnetic coupling induced by the charge stripes betweenbond- or site-centered spin stripes modeled by two- or three-leg ladders,respectively. We found that only the site-centered models order. We furtherindicated excellent agreement of a fully consistent analysis of coupledthree-leg ladders using a spin wave theory of bond with the experimental data.Here, we provide a full and detailed account of this analysis.

Magnetic Excitations in the Site-Centered Stripe Phase: Spin Wave Theory of Coupled Three-Leg Ladders