Energy Levels of Conduction Electrons in a Magnetic Field

1959 ◽  
Vol 115 (5) ◽  
pp. 1172-1176 ◽  
Author(s):  
Y. Yafet
2013 ◽  
Vol 28 (16) ◽  
pp. 1350064 ◽  
Author(s):  
CATARINA BASTOS ◽  
ORFEU BERTOLAMI ◽  
NUNO COSTA DIAS ◽  
JOÃO NUNO PRATA

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that, being a two-dimensional Dirac system, graphene is particularly interesting to test noncommutativity. We find that momentum noncommutativity affects the energy levels of graphene and we obtain a bound for the momentum noncommutative parameter.


1993 ◽  
Vol 73 (5) ◽  
pp. 2364-2375 ◽  
Author(s):  
A. Ishibashi ◽  
D. G. Ravenhall ◽  
R. L. Schult ◽  
H. W. Wyld

Universe ◽  
2021 ◽  
Vol 7 (12) ◽  
pp. 467
Author(s):  
Fayçal Hammad ◽  
Alexandre Landry ◽  
Parvaneh Sadeghi

The relativistic wave equation for spin-1/2 particles in the interior Schwarzschild solution in the presence of a uniform magnetic field is obtained. The fully relativistic regime is considered, and the energy levels occupied by the particles are derived as functions of the magnetic field, the radius of the massive sphere and the total mass of the latter. As no assumption is made on the relative strengths of the particles’ interaction with the gravitational and magnetic fields, the relevance of our results to the physics of the interior of neutron stars, where both the gravitational and the magnetic fields are very intense, is discussed.


2018 ◽  
Vol 8 (1) ◽  
Author(s):  
K. Luhluh Jahan ◽  
A. Boda ◽  
I. V. Shankar ◽  
Ch. Narasimha Raju ◽  
Ashok Chatterjee

1984 ◽  
pp. 325-335
Author(s):  
M. Kibler ◽  
G. Grenet ◽  
J. C. Gâcon ◽  
B. Jacquier
Keyword(s):  

Entropy ◽  
2020 ◽  
Vol 22 (2) ◽  
pp. 244
Author(s):  
Nicolás Pérez ◽  
Constantin Wolf ◽  
Alexander Kunzmann ◽  
Jens Freudenberger ◽  
Maria Krautz ◽  
...  

The entropy of conduction electrons was evaluated utilizing the thermodynamic definition of the Seebeck coefficient as a tool. This analysis was applied to two different kinds of scientific questions that can—if at all—be only partially addressed by other methods. These are the field-dependence of meta-magnetic phase transitions and the electronic structure in strongly disordered materials, such as alloys. We showed that the electronic entropy change in meta-magnetic transitions is not constant with the applied magnetic field, as is usually assumed. Furthermore, we traced the evolution of the electronic entropy with respect to the chemical composition of an alloy series. Insights about the strength and kind of interactions appearing in the exemplary materials can be identified in the experiments.


2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
P. Pereyra

We study the time evolution of the survival probability and the spin polarization of a dissipative nondegenerate two-level system in the presence of a magnetic field in the Faraday configuration. We apply the Extended Gaussian Orthogonal Ensemble approach to model the stochastic system-environment interaction and calculate the survival and spin polarization to first and second order of the interaction picture. We present also the time evolution of the thermal average of these quantities as functions of the temperature, the magnetic field, and the energy-levels density, for ρ(ϵ)∝ϵs, in the subohmic, ohmic, and superohmic dissipation forms. We show that the behavior of the spin polarization calculated here agrees rather well with the time evolution of spin polarization observed and calculated, recently, for the electron-nucleus dynamics of Ga centers in dilute (Ga,N)As semiconductors.


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