One- and Two-Triplon Spectra of a Cuprate Ladder
S. Notbohm, P. Ribeiro, B. Lake, D.A. Tennant, K.P. Schmidt, G.S., Uhrig, C. Hess, R. Klingeler, G. Behr, B. Buechner, M. Reehuis, R.I. Bewley,, C.D. Frost, P. Manuel, and R.S. Eccleston

TL;DR
This study uses inelastic neutron scattering to analyze one- and two-triplon excitations in a cuprate ladder, revealing detailed dispersion relations, exchange constants, and a significant ring exchange interaction.
Contribution
First clear observation of two-triplon scattering in a cuprate ladder, with detailed extraction of exchange interactions and spin gap using neutron scattering.
Findings
Spin gap of 26.4 meV identified
Two-triplon scattering observed for the first time
Exchange constants Jleg=186 meV, Jrung=124 meV, and ring exchange Jcyc=31 meV determined
Abstract
We have performed inelastic neutron scattering on the near ideal spin-ladder compound La4Sr10Cu24O41, which will serve as a model system for the investigation of doped ladders. A key feature in the analysis was the separation of one-triplon and two-triplon scattering contributions due to an antiphase rung modulation. This enabled extraction of the one-triplon dispersion which has a spin gap of 26.4+/-0.3 meV, and for the first time two-triplon scattering is clearly observed. The exchange constants are determined by fitting the data to be Jleg=186 meV and Jrung=124 meV along the leg and the rung respectively. In addition to the surprisingly large difference between Jleg and Jrung a substantial ring exchange of Jcyc=31 meV was confirmed.
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