Description of a relativistic electron in a quantizing magnetic field. Transverse transport coefficients of an electron gas

1981 ◽  
Vol 49 (2) ◽  
pp. 1012-1020 ◽  
Author(s):  
A. D. Kaminker ◽  
D. G. Yakovlev
Keyword(s):  
Magnetic Field ◽  
Relativistic Electron ◽  
Transport Coefficients ◽  
Electron Gas ◽  
Quantizing Magnetic Field ◽  
Magnetic Field Transverse

Thermodynamic functions of a relativistic electron gas on a tube in a magnetic field

2019 ◽  
Vol 33 (22) ◽  
pp. 1950253
Author(s):  
N. V. Gleizer ◽  
A. M. Ermolaev ◽  
G. I. Rashba
Keyword(s):  
Magnetic Field ◽  
Relativistic Electron ◽  
Thermodynamic Functions ◽  
Electron Gas ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
Relativistic Rotator ◽  
Dimensional Electron Gas ◽  
The One

On the basis of the one-particle Dirac equation, an exact solution for the problem of the energy spectrum of a relativistic electron on the surface of a tube in a magnetic field is obtained. The spectra of a relativistic rotator and a relativistic electron in a two-dimensional electron gas are obtained in limiting cases. The density of electron states and the main thermodynamic functions of a relativistic electron gas on a tube in a magnetic field are calculated. These values experience Aharonov–Bohm oscillations and oscillations of the de Haas–van Alphen type with a change of the magnetic field and parameters of the problem. The asymptotics of thermodynamic functions at low- and high-temperatures are obtained. The results can be used in studies of nanotubes of a two-dimensional electron gas and in astrophysics.

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