Elementary Excitations in Dimerized and Frustrated Heisenberg Chains

Details Elementary Excitations in Dimerized and Frustrated Heisenberg Chains Elementary Excitations in Dimerized and Frustrated Heisenberg Chains

1998-01-07

arxiv.org/abs/cond-mat/9801046v2

Physics

Condensed Matter

Strongly Correlated Electrons

Corrections to the text + 1 new figure, will appear in PRB (august 98)

Scientific paper

10.1103/PhysRevB.58.3117

We present a detailed numerical analysis of the low energy excitation spectrum of a frustrated and dimerized spin $S=1/2$ Heisenberg chain. In particular, we show that in the commensurate spin--Peierls phase the ratio of the singlet and triplet excitation gap is a universal function which depends on the frustration parameter only. We identify the conditions for which a second elementary triplet branch in the excitation spectrum splits from the continuum. We compare our results with predictions from the continuum limit field theory . We discuss the relevance of our data in connection with recent experiments on $CuGeO_{3}$, $NaV_2O_5$, and $(VO)_2P_2O_7$.

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