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.

TY JOUR
TI The high-index surface—a superlattice for two-dimensional electrons
AU Volkov, V. A.
AU Petrov, V. A.
AU Sandomirskii, V. B.
PB Physics-Uspekhi
PY 1980
JO Physics-Uspekhi
JF Physics-Uspekhi
JA Phys. Usp.
VL 23
IS 7
SP 375-385
UR https://ufn.ru/en/articles/1980/7/d/
ER https://doi.org/10.1070/PU1980v023n07ABEH005116