A review is given of low-temperature studies of the properties of the two-dimensional electron gas in inversion layers on high-index Si surfaces. The long crystallographic periods associated with such surfaces produce the superlattice effect in the spectrum of the quasi-two-dimensional electron gas. The kinetic coefficients are found to exhibit singularities when the Fermi level and minigaps cross. This was established by measuring the static and the high-frequency conductivities, the Shubnikov--de Haas oscillations, the photoresistivity, the emission of thermal electrons, and the cyclotron resonance in $n$-type inversion layers near (001) for electron concentrations in the range 10$^{12}$ -- 10$^{14}$ cm$^{-2}$. The minigap width varies from 1 to 20 meV, depending on the electron concentration. The position of the minigaps in $K$-space (but not their size) is in quantitative agreement with theory.

PT Journal Article
TI The high-index surface—a superlattice for two-dimensional electrons
AU Volkov V A
FAU Volkov VA
AU Petrov V A
FAU Petrov VA
AU Sandomirskii V B
FAU Sandomirskii VB
DP 10 Jul, 1980
TA Phys. Usp.
VI 23
IP 7
PG 375-385
RX 10.1070/PU1980v023n07ABEH005116
URL https://ufn.ru/en/articles/1980/7/d/
SO Phys. Usp. 1980 Jul 10;23(7):375-385