Criterion for perturbation theory application in calculation of holes spectrum in thin monocrystalline germanium film subject to strong magnetic field

2015 ◽  
Author(s):  
Nurgali Z. Altynbekov ◽  
Yan Z. Ososkov ◽  
Aleksey G. Moiseev
Keyword(s):  
Magnetic Field ◽  
Perturbation Theory ◽  
Strong Magnetic Field ◽  
Germanium Film ◽  
Theory Application ◽  
Monocrystalline Germanium

scholarly journals ELECTRON MASS OPERATOR IN A STRONG MAGNETIC FIELD

2002 ◽  
Vol 17 (04) ◽  
pp. 231-235 ◽  
Author(s):  
A. V. KUZNETSOV ◽  
N. V. MIKHEEV ◽  
M. V. OSIPOV
Keyword(s):  
Magnetic Field ◽  
Perturbation Theory ◽  
Strong Magnetic Field ◽  
Virtual Photon ◽  
Strong Field ◽  
Mass Operator ◽  
Polarization Operator ◽  
Landau Levels ◽  
Electron Mass ◽  
Photon Polarization

The electron mass operator in a strong magnetic field is calculated by summation of the leading log contributions in all orders of the perturbation theory. An influence of the strong field on the virtual photon polarization operator is taken into account. The contribution of higher Landau levels of virtual electrons, along with the ground Landau level, is shown to be essential in the leading log approximation.

Perturbation Theory for Interacting Electrons in a Quantum Dot under Strong Magnetic Field

2001 ◽  
Vol 35 (2) ◽  
pp. 245-250
Author(s):  
Gu Yun-Ting ◽  
Ruan Wen-Ying ◽  
Li Quan ◽  
Cai Min ◽  
Chan Kok-Sam
Keyword(s):  
Magnetic Field ◽  
Perturbation Theory ◽  
Quantum Dot ◽  
Strong Magnetic Field ◽  
Interacting Electrons

EXCITATION SPECTRUM OF QUANTUM DOT IN STRONG MAGNETIC FIELD

1995 ◽  
Vol 09 (15) ◽  
pp. 1843-1867 ◽  
Author(s):  
AL. A. ANDREEV ◽  
YA. M. BLANTER ◽  
YU. E. LOZOVIK
Keyword(s):  
Magnetic Field ◽  
Perturbation Theory ◽  
Quantum Dot ◽  
Strong Magnetic Field ◽  
Microscopic Theory ◽  
Collective Excitations ◽  
Complete Analysis ◽  
Classical Approach ◽  
Particle Drift ◽  
Parabolic Quantum Dot

Microscopic theory of collective excitations of a quantum dot in a strong magnetic field is proposed. A complete analysis of diagrams in the perturbation theory over the Coulomb interaction is performed. The spectrum of low-lying excitations is calculated for the case of a parabolic quantum dot. It is shown to consist of three terms: single-particle drift, magnetoplasma and exciton ones, with the exciton term dominating the magnetoplasma one. In the framework of the semi-classical approach, the case of a non-parabolic quantum dot is also discussed. The experimental manifestations of the effects under investigation are discussed.

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