Broadening of Landau Levels in Two-Dimensional Electron Gas: Its Effect on Surface Capacitance

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Abstract
Based on effective mass theory, broadening of Landau levels in two dimensional electron gas is obtained bar taking account of multiple scattering due to impurities. Using the diagram technique, one particle Green's function is derived and it is shown that the physical origin of the level broadening is characteristic of two dimensional electron gas. Using the Green's function, the notches occuring in capacitance-voltage characteristics at low temperatures are qualitatively discussed in terms of the broadening of Landau levels. The implication of this broadening of Landau levels is discussed in relation to transport phenomena of two dimensional electron gas in strong magnetic fields.