Electron states in quantum-dot and antidot arrays placed in a strong magnetic field |
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Authors: | V Ya Demikhovskiĭ A A Perov |
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Institution: | (1) 603600 Nizhnii Novgorod, Russia |
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Abstract: | Quantum electronic states in a dot (antidot) array in the presence of a dc magnetic field are studied. A new method of numerical
calculation of the electron spectrum and wave functions in a two-dimensional periodic potential and perpendicular magnetic
field is proposed. The magnetic-subband energies, density of electron states, and electron density |ψ(x,y)|2, as well as the amplitude of the potential, and lattice period and degree of anisotropy for different magnetic fields have
been found. The calculations were performed for quantum dots in the In0.2Ga0.8As-GaAs and GaAs-Al0.3Ga0,7As systems. The rearrangement of the spectrum with variation of magnetic field and with transition from the tight-binding
to weak-binding
approximation is studied (ω
c
is the cyclotron frequency, and V
0 is the periodic-potential amplitude). The calculations show that the two-dimensional lattices epitaxially grown presently
on semiconductor surfaces permit observation of quantum effects associated with rearrangement of the spectrum (electron transport
and optical absorption) in magnetic fields H⩽1 MG.
Fiz. Tverd. Tela (St. Petersburg) 40, 1134–1139 (June 1998) |
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Keywords: | |
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