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We have studied the low-energy excitation spectrum of a dimerized andfrustrated antiferromagnetic Heisenberg chain. We use an analytic approach,based on a description of the excitations as triplets above a strong-couplingsinglet ground state. The quasiparticle spectrum is calculated by treating theexcitations as a dilute Bose gas with infinite on-site repulsion. Additionalsinglet (S=0) and triplet (S=1) modes are found as two-particle bound states ofthe elementary triplets. We have also calculated the contributions of theelementary and collective excitations into the spin structure factor. Ourresults are in excellent agreement with exact diagonalizations and dimer seriesexpansions data as long as the dimerization parameter $\delta$ is not too small($\delta>0.1$), i.e. while the elementary triplets can be treated as localizedobjects.Comment: 18 pages, 13 figure

physical review. b, condensed matter

Spectrum of elementary and collective excitations in the dimerized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:math>Heisenberg chain with frustration

Spectrum of elementary and collective excitations in the dimerizedS=1/2Heisenberg chain with frustration