Evidence for a first-order correction to the Boltzmann conductivity of a disordered three-dimensional electron gas

1992 ◽  
Vol 45 (15) ◽  
pp. 8837-8840 ◽  
Author(s):  
P. W. Adams ◽  
D. A. Browne ◽  
M. A. Paalanen
2016 ◽  
Vol 11 (1) ◽  
pp. 80-87
Author(s):  
Olga Tkachenko ◽  
Vitaliy Tkachenko

We compare three-dimensional electrostatics of semiconductor structures with graphene-like lattices of quantum dots and antidots formed in the plane of the two dimensional electron gas. With lattice constant fixed, the shape of the potential may be tuned so that both lattices have minband spectrum where the second Dirac feature is pronounced and not overlaid by the other states. We show that the lattice of quantum dots is more sensitive to fabrication imperfections, because sources of the disorder are located directly above the electronic channels. Thus the lattices of antidots should be preferred semiconductor artificial graphene candidates.


1998 ◽  
Vol 12 (09) ◽  
pp. 319-325 ◽  
Author(s):  
N. Balić ◽  
C. A. A. de Carvalho ◽  
R. M. Cavalcanti ◽  
P. Donatis

We study a relativistic two-dimensional electron gas in the presence of a uniform external magnetic field and a random static scalar potential. We compute, in first order perturbation theory, the averages of the charge density and of the transverse conductivity for a white-noise potential, and show that, within this treatment, their quantized values are modified by the disorder.


2005 ◽  
Vol 71 (16) ◽  
Author(s):  
G. M. Gusev ◽  
C. A. Duarte ◽  
A. A. Quivy ◽  
T. E. Lamas ◽  
J. R. Leite ◽  
...  

1999 ◽  
Vol 13 (05n06) ◽  
pp. 447-459
Author(s):  
A. H. MACDONALD

The three-dimensional electron-gas model has been a major focus for many-body theory applied to the electronic properties of metals and semiconductors. Because the model neglects band effects, whereas electronic systems are generally more strongly correlated in narrow band systems, it is most widely used to describe the qualitative physics of weakly correlated metals with unambiguous Fermi liquid properties. The model is more interesting in two space dimensions because it provides a quantitative description of electrons in quantum wells and because these can form strongly correlated many-particle states. We illustrate the range of possible many-particle behaviors by discussing the way correlations are manifested in 2D tunneling spectroscopy experiments.


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