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Cyclic spin exchange in cuprate spin ladders

Tamara S. Nunner, Philipp Brune, Thilo Kopp, Marco Windt, Markus Grüninger

DOI 10.1103/PhysRevB.66.180404 · Physical Review B

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Abstract

We investigate the influence of a cyclic spin exchange Jcyc on the one- and two-triplet excitations of an undoped two-leg S=1/2 ladder, using the density-matrix renormalization group (DMRG). The dispersion of the S=0 two-triplet bound state is dramatically reduced by Jcyc due to a repulsion between triplets on neighboring rungs. In (La,Ca)14Cu24O41 a consistent description of both the spin gap and the S=0 bound state requires Jcyc/J⊥≈0.20–0.27 and J/J⊥≈1.25–1.35. With these coupling ratios the recently developed dynamical DMRG yields an excellent description of the entire S=0 excitation spectrum observed in the optical conductivity, including the continuum contribution.

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