Abstract
The temperature dependence of the density of states in strong magnetic fields. On the basis of the model constructed, a computer program calculating the density of electronic states in a quantizing magnetic field. Used new, based on quantum statistics, the approach to the calculation of the temperature dependence of the density of states in a strong magnetic field. Mathematical modeling of the density of states using the experimental values of a continuous density of states makes it possible to calculate the Landau levels.
Highlights
In a strong magnetic field, the energy spectrum of electrons in a semiconductor or metal becomes quantized, so that the density of energy states as a function of energy acquires an oscillating character. It is this fact is the origin of the oscillatory magnetic field dependence of a number of equilibrium and no equilibrium quantities characterizing the state and behavior of the electrons in the crystal in a quantizing magnetic field [1]
It is shown that due to the thermal broadening of the levels of a discrete spectrum with hanging temperature turns into a continuous energy spectrum
With the expansion of the energy spectrum density of states as functions GN (GN―energy derivative of the probability of the devastation of the discrete level), it was shown that the magnitude of the energy gap is temperature dependent
Summary
In a strong magnetic field, the energy spectrum of electrons in a semiconductor or metal becomes quantized, so that the density of energy states as a function of energy acquires an oscillating character. With the expansion of the energy spectrum density of states as functions GN (GN―energy derivative of the probability of the devastation of the discrete level), it was shown that the magnitude of the energy gap is temperature dependent. These works have not considered the effect of temperature on the density of energy states in a strong magnetic field
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