Electron statistics in a zerogap semiconductor
Abstract
Some problems of the electron statistics in the semiconductor with zero energy gap are considered. In this extremely nonparabolic case the energy is a linear function of quasimomentum, and as a consequence of it, there arise essential differences from the formulas of electron statistics in the standard (parabolic) bands. The expressions for states density and electron concentration without fields and at quantizing magnetic field are obtained. The degeneracy conditions of the electron gas are investigated, and the comparison with a parabolic bands case is carried out. The effect of strong nonparabolicity on the effective mass and on the Shubnikovde Haas oscillations are considered. The equations for chemical potential calculation are given. The expression for Hall coefficient in any (nonquantizing) magnetic field is obtained.
 Publication:

Unknown
 Pub Date:
 1974
 Bibcode:
 1974eszg.rept.....T
 Keywords:

 Electron Energy;
 Semiconductors (Materials);
 Electron Density (Concentration);
 Electron Gas;
 Magnetic Fields;
 Momentum;
 SolidState Physics