Abstract
The behavior of a magnetically ordered system in which one of the superexchange paths is through a short (~2.5 Å) hydrogen bond has been investigated with particular attention paid to the case of HCrO2. It has been assumed that the exchange integral for this path depends upon the particle (proton or deuteron) position in the bond and that the particle is tunnelling in a symmetric double-minimum potential well. The following quantities have been calculated: (i) the particle tunnelling spectrum (in particular, the infrared spectrum) for (a) general temperatures if particle–particle interactions are ignored and (b) temperatures such that few tunnelling modes are excited when these interactions are taken into account, and (ii) the low-temperature magnon spectrum, magnetization, and specific heat when particle–particle interactions are both ignored and considered. The results are compared with those that are to be expected if the initial assumption about the dependence of the exchange integral is incorrect.
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