Zeeman Splitting of Electron Spectrum in HgTe Quantum Wells Near the Dirac Point

2018 ◽  
Vol 52 (4) ◽  
pp. 519-522
Author(s):  
A. V. Germanenko ◽  
G. M. Minkov ◽  
A. A. Sherstobitov ◽  
O. E. Rut ◽  
S. A. Dvoretski ◽  
...  
Author(s):  
A.V. Germanenko ◽  
G.M. Minkov ◽  
A.A. Sherstobitov ◽  
O.E. Rut ◽  
S.A. Dvoretski ◽  
...  

AbstractThe Zeeman splitting of the conduction band in the HgTe quantum wells both with normal and inverted spectrum has been studied experimentally in a wide electron density range. The simultaneous analysis of the Shubnikov–de Haas oscillations in low magnetic fields at different tilt angles and of the shape of the oscillations in moderate magnetic fields gives a possibility to find the ratio of the Zeeman splitting to the orbital one and anisotropy of g -factor. It is shown that the ratios of the Zeeman splitting to the orbital one are close to each other for both types of structures, with a normal and inverted spectrum and they are close enough to the values calculated within kP method. In contrast, the values of g -factor anisotropy in the structures with normal and inverted spectra are strongly different and for both cases differ significantly from the calculated ones. We assume that such disagreement with calculations is a result of the interface inversion asymmetry in the HgTe quantum well, which is not taken into account in the kP calculations.


2017 ◽  
Vol 91 ◽  
pp. 203-208 ◽  
Author(s):  
G.M. Minkov ◽  
O.E. Rut ◽  
A.A. Sherstobitov ◽  
S.A. Dvoretski ◽  
N.N. Mikhailov

2015 ◽  
Vol 28 (1) ◽  
pp. 103-111 ◽  
Author(s):  
Volodymyr Grimalsky ◽  
Outmane Oubram ◽  
Svetlana Koshevaya ◽  
Christian Castrejon-Martinez

The application of the Thomas-Fermi method to calculate the electron spectrum in quantum wells formed by highly doped n-Si quantum wires is presented under finite temperatures where the many-body effects, like exchange, are taken into account. The electron potential energy is calculated initially from a single equation. Then the electron energy sub-levels and the wave functions within the potential well are simulated from the Schr?dinger equation. For axially symmetric wave functions the shooting method has been used. Two methods have been applied to solve the Schr?dinger equation in the case of the anisotropic effective electron mass, the variation method and the iteration procedure for the eigenvectors of the Hamiltonian matrix.


2000 ◽  
Vol 214-215 ◽  
pp. 415-419 ◽  
Author(s):  
R Akimoto ◽  
F Sasaki ◽  
S Kobayashi ◽  
K Ando ◽  
G Karczewski ◽  
...  

1996 ◽  
Vol 442 ◽  
Author(s):  
S. W. Brown ◽  
T. A. Kennedy ◽  
D. Gammon

AbstractWe have observed nuclear magnetic resonance (NMR) signatures from constituent Ga and As nuclei in single GaAs quantum dots formed by interface fluctuations in GaAs/AlGaAs quantum wells. Orientation of the nuclear spin system by optical pumping causes an Overhauser shift in the excitonic energy levels proportional to the degree of nuclear orientation. NMR was detected by monitoring changes in the combined Overhauser plus Zeeman splitting of an exciton localized in a single quantum dot as the RF frequency was swept through a nuclear resonance. The NMR signals originate from ∼105 nuclei in the quantum dot — (20 nm)3 volume - representing an increase in sensitivity of five orders of magnitude over previous optical NMR measurements and thirteen orders of magnitude over conventional NMR. The data were fit to Lorentzian lineshapes, giving 75As linewidths on the order of 20 kHz.


1995 ◽  
Vol 51 (11) ◽  
pp. 7361-7364 ◽  
Author(s):  
N. J. Traynor ◽  
R. T. Harley ◽  
R. J. Warburton

2009 ◽  
Vol 23 (12n13) ◽  
pp. 2948-2954
Author(s):  
C. A. DUARTE ◽  
G. M. GUSEV ◽  
T. E. LAMAS ◽  
A. K. BAKAROV ◽  
J.-C. PORTAL

Here we present the results of magneto resistance measurements in tilted magnetic field and compare them with calculations. The comparison between calculated and measured spectra for the case of perpendicular fields enable us to estimate the dependence of the valley splitting as a function of the magnetic field and the total Landé g -factor (which is assumed to be independent of the magnetic field). Since both the exchange contribution to the Zeeman splitting as well as the valley splitting are properties associated with the 2D quantum confinement, they depend only on the perpendicular component of the magnetic field, while the bare Zeeman splitting depends on the total magnetic field. This information aided by the comparison between experimental and calculated gray scale maps permits to obtain separately the values of the exchange and the bare contribution to the g -factor.


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