LANDAU-LEVELS IN THE PRESENCE OF A POTENTIAL BARRIER

The exact solution to the problem of electrons under the combined effe ct of a square potential barrier and magnetic field parallel to the in terfaces has been obtained. Beyond the states associated with the pres ence of an isolated interface, a new family of solutions which arises from the interaction between the two interfaces has been found. Inclus ion of non-parabolic effects leads to sizable corrections, and consequ ently they should be taken into account in a reliable quantitative cal culation. Under applied bias of typical strength, the eigenvalue spect rum changes radically as compared with the zero-electric-field results .