SPLITTING OF LANDAU-LEVELS OF A 2-DIMENSIONAL ELECTRON DUE TO ELECTRON-PHONON INTERACTIONS

We show that in a very strong magnetic held B the electron-phonon inte raction gives rise to a splitting of Landau levels of a two-dimensiona l electron into a series of infinitely degenerate sublevels. We provid e both a qualitative and quantitative description of this phenomenon. The cases of interaction with acoustic and polar optical phonons are c onsidered. We show that the energy distance between nearest sublevels in both cases tends to zero as B-1/2 at large B. [S0163-1829(98)03225- 1].