Abstract
We present low-temperature static and dynamic properties of the quantumone-dimensional isotropic integer spin Heisenberg magnet with antiferromagneticnearest-neighbour (nn) and next-nearest-neighbour (nnn) interactions. The modifiedspin-wave theory is used to provide quantities such as the spin-wave dispersionrelation, the ground-state energy, the gap and its dependence with temperature,and the asymptotic behaviour of the spin–spin correlation function. The groundstate energy and the singlet–triplet energy gap are obtained for several values ofj, defined as the ratio of the nnn interaction constant to the nn one. Ourresults show that the ground-state and the gap energies increase withj, in accordance with numerical results available in the literature. The calculation of the dynamiccorrelation function is performed using the projection operator formalism: the procedure includesup to two-magnon processes. We show that, depending on the values of the frustration parameterj, the wavevector and the temperature, a double-peak structure for the dynamicalcorrelation function can develop.
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