Magnetic excitation spectrum of dimerized antiferromagnetic chains

Details Magnetic excitation spectrum of dimerized antiferromagnetic chains Magnetic excitation spectrum of dimerized antiferromagnetic chains

1996-06-03

arxiv.org/abs/cond-mat/9606001v1

Phys. Rev. B 54, R9624 (1996); err. ibid. 58, 2900 (1998)

Physics

Condensed Matter

4 pages, 4 figures included, Revtex

Scientific paper

10.1103/PhysRevB.54.R9624

Motivated by recent measurements on CuGeO$_3$ the spectrum of magnetic excitations of an antiferromagnetic $S=\frac{1}{2}$ chain with alternating coupling strength is investigated. Wave vector dependent magnons and a continuum with square root behavior at the band edges are found. The spectral density of the continua is calculated. Spin rotation symmetry fixes the gap of the continuum to be twice the elementary magnon gap. This is in excellent agreement with experimental results. In addition, the existence of bound states of two magnons is predicted: below the continuum a singlet and a triplet, above the continuum an ``anti-bound'' quintuplet. The results are based on field theoretic arguments, RPA calculations, and consideration of the limit of strong alternation.

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