Elementary Excitations in Dimerized and Frustrated Heisenberg Chains

Abstract

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 $CuGe{O}_3$, $Na{V}_2{O}_5$, and $(VO{)}_2{P}_2{O}_7$.

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

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