Spectral properties of the dimerized and frustrated $S=1/2$ chain

Details Spectral properties of the dimerized and frustrated $S=1/2$ chain Spectral properties of the dimerized and frustrated $S=1/2$ chain

2003-07-28

arxiv.org/abs/cond-mat/0307678v2

Phys. Rev. B 69, 104417 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

21 pages

Scientific paper

10.1103/PhysRevB.69.104417

Spectral densities are calculated for the dimerized and frustrated S=1/2 chain using the method of continuous unitary transformations (CUTs). The transformation to an effective triplon model is realized in a perturbative fashion up to high orders about the limit of isolated dimers. An efficient description in terms of triplons (elementary triplets) is possible: a detailed analysis of the spectral densities is provided for strong and intermediate dimerization including the influence of frustration. Precise predictions are made for inelastic neutron scattering experiments probing the S=1 sector and for optical experiments (Raman scattering, infrared absorption) probing the S=0 sector. Bound states and resonances influence the important continua strongly. The comparison with the field theoretic results reveals that the sine-Gordon model describes the low-energy features for strong to intermediate dimerization only at critical frustration.

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