PHONON EFFECTS ON A MULTICHANNEL RESONANCE-LEVEL MODEL

The phonon effects on a multichannel resonant-level model have been st udied by a bosonization technique and canonical transformations. We fo und that the model can be mapped onto a single-channel Kondo model and the non-Fermi-liquid transition is modified by local electron-phonon interaction. At strong interaction, only one channel of conducting ele ctrons is necessary in order to realize this transition and it is the phonon effects that control the behaviour of the system.