Two-Dimensionality of Magnetic Excitations on the Trellis Lattice: (La,Sr,Ca)${}_{14}$Cu${}_{24}$O${}_{41}$ and SrCu${}_2$O${}_3$

Abstract

We explore the properties of magnetic excitations on the trellis lattice which is relevant for the so-called telephone-number compounds A${}_{14}$Cu${}_{24}$O${}_{41}$ and the system SrCu${}_2$O${}_3$. The trellis lattice consists of two-leg ladders which are coupled in a strongly frustrated fashion. We use the effective model obtained for a single two-leg spin ladder to calculate the two-dimensional one-triplon dispersion and the corresponding one-triplon contribution to the dynamical structure factor. Special attention is laid on signatures of the frustrating inter-ladder magnetic exchange. A detailed suggestion is made for an experimental detection of this exchange in inelastic neutron scattering experiments.

arXiv comment5 pages, 7 figures, predictions to inelastic neutron experiments; slightly revised version according to the referees' suggestions, in press

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Cited by in corpus (4)

• Excitation Spectrum of One-dimensional Extended Ionic Hubbard Model
• Two-band Conduction and Nesting Instabilities in Superconducting Ba${}_2$CuO${}_{3+\delta }$: a First Principles Study
• Hole Dispersions for Antiferromagnetic Spin-1/2 Two-Leg Ladders by Self-Similar Continuous Unitary Transformations
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice