Abstract

The EPR line width and the dynamical shift of the line position in a one-dimensional Heisenberg magnet with the external magnetic field making the magic angle (54.7°) with the chain axis are calculated. Both the line width and the dynamical shift have a characteristic frequency dependence (∝ ω− 1 2 ). The second moment and fourth moment, with and without exchange, of the absorption line are calculated explicity. From this it can be concluded that the distribution of the internal dipolar fields is strongly non-gaussian. The influence of single-ion anisotropy is shown to be an additional broadening or a narrowing of the resonance line depending on the sign of the interaction. Single-ion anisotropy does not change the characteristic line shape and angular dependence of a one-dimensional Heisenberg magnet.

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