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De Gruyter eBooks

Soliton Solution for the Excited State in the Spin-Peierls S = 1/2 Antiferromagnetic Chain

G. L. M. Dassen, M. A. De Moura

Published Dec 31, 1984• 0 citations
Publisher
DOI
10.1515/9783112495421-025

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Soliton Solution for the Excited State in the Spin‐Peierls S = 1/2 Antiferromagnetic Chain

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Abstract The ground‐state and low energy excitation spectrum of the spin‐Peierls S = 1/2 antiferromagnetic chain is studied in the adiabatic limit. It is shown that this model corresponds to the semiclassical Gross‐Neveu model with only one kind of Fermion and that the lowest excited state corresponds to the usual‐kink‐soliton of the Φ4‐theory. Its energy is approximately one‐third of the singlet‐triplet excitation gap.

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The introduction of modified bond defects in spin-Peierls systems is investigated in a model of antiferromagnetic Heisenberg spin chains coupled to adiabatic phonons. Generically, new low-energy magnetic or nonmagnetic excitations appear below the bulk spin gap energy. When two adjacent bonds are modified, these excitations can be interpreted in terms of bound states of a soliton with the localized spin 1/2 located on the impurity site. It is shown that the confining potential occurs even in the case of isolated chains.

arXiv:cond-mat/9908134•Physical review. B, Condensed matter•Mar 1, 2000•10 citations
The introduction of modified bond defects in spin-Peierls systems is investigated in a model of antiferromagnetic Heisenberg spin chains coupled to adiabatic phonons. Generically, new low-energy magnetic or nonmagnetic excitations appear below the bulk spin gap energy. When two adjacent bonds are modified, these excitations can be interpreted in terms of bound states of a soliton with the localized spin 1/2 located on the impurity site. It is shown that the confining potential occurs even in the case of isolated chains.