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We present a comparative investigation of singlet ground state inducedmagnetism for singlet, doublet and triplet excited CEF states of non-Kramersf-electrons relevant primarily for Pr- and U- based compounds. This type ofmagnetic order is of intrinsic quantum nature because it requires thesuperposition of singlet ground state with excited states due to non-diagonalmatrix elements of the effective intersite exchange to generate local moments.In contrast to conventional magnets the local moments and their ordering appearsimultaneously at the transition temperature. It is finite only if the controlparameter proportional to the ratio of exchange strength to level splittingexceeds a critical value marking the quantum critical point of the models. Wedetermine the dependence of transition temperature, saturation moment,renormalised level splitting, specific heat jumps and low-temperaturesusceptibility as function of control parameter. Furthermore the temperaturedependence of these quantities is calculated for control parameters above andbelow the quantum critical point and the distinction to conventional magnetismis discussed. In addition we investigate the dynamical properties of the threemodels, deriving the magnetic exciton dispersion and their critical behaviour.In particular the conditions for true and arrested soft-mode behaviour at theordering wave vector are identified.

Induced quantum magnetism in CEF singlet ground state models: Thermodynamics and excitations