Fermi energy and energy band occupation for a relativistic degenerate electron gas in a quantizing magnetic field

1993 ◽  
Vol 36 (9) ◽  
pp. 809-812
Author(s):  
G. A. Shul'man
2021 ◽  
Vol 21 (12) ◽  
pp. 6183-6187
Author(s):  
P. K. Das ◽  
J. Pal ◽  
M. Debbarma ◽  
K. P. Ghatak

In this paper we study the Electron Statistics in Heavily Doped N Type-Intrinsic-P Type-Intrinsic structures of non-linear optical, tetragonal and opto-electronic materials in the presence of magnetic quantization. It is found taking such heavily doped structures of Cd3As2, CdGeAs2, InAs, InSb, Hg1−xCdxTe, In1−xGaxAsyP1−y as examples that the Fermi energy (EF) oscillates with inverse quantizing magnetic field (1/B) and increases with increasing electron concentration with different numerical magnitudes which is the signature of respective band structure. The numerical value of the Fermi energy is different in different cases due to the different values of the energy band constants.


2012 ◽  
Vol 21 (11) ◽  
pp. 1242001 ◽  
Author(s):  
UPASANA DAS ◽  
BANIBRATA MUKHOPADHYAY

We consider a relativistic, degenerate, electron gas under the influence of a strong magnetic field, which describes magnetized white dwarfs. Landau quantization changes the density of states available to the electrons, thus modifying the underlying equation of state. In the presence of very strong magnetic fields a maximum of either one, two or three Landau level(s) is/are occupied. We obtain the mass–radius relations for such white dwarfs and their detailed investigation leads us to propose the existence of white dwarfs having a mass ~2.3M⊙, which overwhelmingly exceeds the Chandrasekhar mass limit.


1969 ◽  
Vol 177 (3) ◽  
pp. 1019-1036 ◽  
Author(s):  
Michael P. Greene ◽  
Hyung Joon Lee ◽  
J. J. Quinn ◽  
Sergio Rodriguez

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