PHONON-SPECTRA RENORMALIZATION IN THE SYS TEMS WITH ANYON EXCITATIONS

The interaction of the anyon matter and sound waves in the crystal lat tice is analyzed. Being similar to electrons in the quantizing magneti c field, the anyon matter nevertheless strongly interacts with the ela stic subsystem. In the superfluid state renormalization or the longitu dinal sound velocity takes place, which vanishes after the transition lo the normal phase. The jump in the sound velocity in anyon supercond uctors in much higher as compared to the BCS prediction.