IL NUOVO CIMENTO VOL. 10 D, N. 10 Ottobre 1988 Magnetoconductance Oscillations and Hall Current for a Two-Dimensional Electron Gas with Harmonic Confining Potential. G. KLIROS Department of Physics, University of Patras - Patras 26110, Greece A. JANNUSSIS Department of Physics, University of Patras - Patras 26110, Greece I.B.R. Institute for Basic Research- 96 Prescott Str., Cambridge, Mass., 02138 U.S.A. (ricevuto il 20 Giugno 1988) Summary. -- In the present paper we calculate exactly the density of states of an ideal 2DEG in uniform magnetic and electric fields with parabolic confining potential. From the density of states, we obtain the magnetocon- ductance oscillations. Consequently, we get the Hall current by means of the Feynman-Hellman theorem and study its quantization. PACS 72.20 - Conductivity phenomena in semiconductors and insulators. PACS 71.20 - Electronic density of states determinations (including energy states of liquid semiconductors). The quantum-mechanical properties of a two-dimensional electron gas (2DEG) in the inversion layer of a MOSFET (metal oxide semiconductor field effect transistor) have been investigated for several years (1). Recently, much effort has been done for the fabrication and study of narrow- channel MOSFET structures in which an electron gas, which is typically confined in two dimensions, is confined by a potential in one dimension, as well (2~). (1) T. ANDO, A. FOWLER and F. STERN: Rev. Mod. Phys., 54, 437 (1982). (2) W.J. SKOCPOL, L. D. JACKEL, E. Hu, R. HOWARDand L. FETTER: Phys. Rev. Lett., 49, 951 (1982). (3) R. KWASNIK, M. KASTNER, J. MELNGALISand P. LEE: Phys. Rev. Lett., 52, 224 (1984). (4) A. C. WARREN,D. A. ANTONIADIS and H. SMITH: Phys. Rev. Lett., 56, 1858 (1986). 1171