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Chiral magnets are magnetically ordered insulators having spin scalarchirality, and magnons of chiral magnets have been poorly understood. We studythe magnon dispersion and specific heat for four chiral magnets with Q=0 on thepyrochlore lattice. This study is based on the linear-spin-wave approximationfor the S=1/2 effective Hamiltonian consisting of two kinds of Heisenberginteraction and two kinds of Dzyaloshinsky-Moriya interaction. We show that thethree-in-one-out type chiral magnets possess an optical branch of the magnondispersion near q=0, in addition to three quasiacoustic branches. This differsfrom the all-in/all-out type chiral magnets, which possess four quasiacousticbranches. We also show that all four chiral magnets have a gapped magnon energyat q=0, indicating the absence of the Goldstone type gapless excitation. Theseresults are useful for experimentally identifying the three-in-one-out orall-in/all-out type chiral order. Then, we show that there is no qualitativedifference in the specific heat among the four magnets. This indicates that thespecific heat is not useful for distinguishing the kinds of chiral orders. Wefinally compare our results with experiments and provide a proposal for thethree-in-one-out type chiral magnets.

Magnon Dispersion and Specific Heat of Chiral Magnets on the Pyrochlore Lattice