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The J1-J2 model revisited : Phenomenology of CuGeO3

V. N. Muthukumar, Claudius Gros, Roser Valenti, M. Weiden, C. Geibel, F. Steglich, P. Lemmens, M. Fischer, G. Güntherodt

cond-mat.str-elarXiv:cond-mat/9611018

Abstract

We present a mean field solution of the antiferromagnetic Heisenberg chain with nearest (J1) and next to nearest neighbor (J2) interactions. This solution provides a way to estimate the effects of frustration. We calculate the temperature-dependent spin-wave velocity, vs(T) and discuss the possibility to determine the magnitude of frustration J2/J1 present in quasi 1D compounds from measurements of vs(T). We compute the thermodynamic susceptibility at finite temperatures and compare it with the observed susceptibility of the spin-Peierls compound CuGeO3. We also use the method to study the two-magnon Raman continuum observed in CuGeO3 above the spin-Peierls transition.

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