Dynamical correlations in a two-dimensional electron gas: First-order perturbation theory

1982 ◽  
Vol 25 (4) ◽  
pp. 2144-2159 ◽  
Author(s):  
A. Czachor ◽  
A. Holas ◽  
S. R. Sharma ◽  
K. S. Singwi
Keyword(s):  
Perturbation Theory ◽  
Electron Gas ◽  
Order Perturbation ◽  
Order Perturbation Theory ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
First Order ◽  
Dimensional Electron Gas ◽  
First Order Perturbation

scholarly journals Perturbative Evidence of Nonuniversality in the Quantized Hall Conductivity of A Disordered Relativistic 2D Electron Gas

1998 ◽  
Vol 12 (09) ◽  
pp. 319-325 ◽  
Author(s):  
N. Balić ◽  
C. A. A. de Carvalho ◽  
R. M. Cavalcanti ◽  
P. Donatis
Keyword(s):  
Scalar Potential ◽  
Electron Gas ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
First Order ◽  
Uniform External Magnetic Field ◽  
Transverse Conductivity ◽  
Dimensional Electron Gas ◽  
First Order Perturbation

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.

Second Order Solutions of THz Response of Gated Two-Dimensional Electron Gas in Magnetic Field

Frequenz ◽  
2018 ◽  
Vol 72 (9-10) ◽  
pp. 471-477 ◽  
Author(s):  
Daipeng Wang ◽  
Jiuxun Sun ◽  
Chao Yang ◽  
Yan Dong ◽  
Zhenlin Yan
Keyword(s):  
Magnetic Field ◽  
Electron Gas ◽  
Second Order ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
First Order ◽  
Order Solution ◽  
Dimensional Electron Gas ◽  
Second Order Equations

Abstract In this work, the Lifshits-Dyakonov theory for THz response of gated two-dimensional electron gas in magnetic field are analyzed and improved. Instead an approximate processing method for the response in original theory to the second order solution, the second order equations are strictly solved. The numerical results show that both first and second order solutions are damped oscillating functions of coordinate, but all amplitudes would decrease as magnetic field B increasing except for the first order solution of voltage. The variation of second order response as a function of B also shows damped oscillating variations, the agreement with experimental curves is reasonable.

Sign in / Sign up

Export Citation Format

Share Document