Effects of a Tilted Magnetic Field on a Two-Dimensional Electron Gas

摘要: $n$-type inverted silicon surfaces were studied to examine properties of a two-dimensional electron gas as well those itself. The effect magnetic field tilted up \ifmmode\pm\else\textpm\fi{}90\ifmmode^\circ\else\textdegree\fi{} from the normal (100) Si was measured between 1.3 and 4.2\ifmmode^\circ\else\textdegree\fi{}K 90 kOe. electric associated with inversion layer quantizes surface electrons they behave gas. It found that oscillatory magnetoconductance, due quantization into Landau levels, depends solely upon component respect surface. observed splitting spin appears be determined by total field. parallel have negligible on quantization. cyclotron mass, temperature dependence oscillation amplitude, is equal transverse mass in independent tilt angle. can quantitatively identified at certain angles where twice splitting. Land\'e $g$ factor this way substantially larger than 2 decreases increasing density. has values 3.25 2.47 for density ranging 1\ifmmode\times\else\texttimes\fi{}${10}^{12}$ 6\ifmmode\times\else\texttimes\fi{}${10}^{12}$ ${\mathrm{cm}}^{\ensuremath{-}2}$.