Influence of quantization of band states on the effective electron mass in quaternary alloys |
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Authors: | K P Ghatak A Ghoshal B Mitra |
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Institution: | (1) Department of Electronics and Telecommunication Engineering Faculty of Engineering and Technology, University of Jadavpur, 700032 Calcutta, India;(2) Present address: Department of Instrumentation Engineering, Jadavpur University, Salt Lake Campus, Block-LB, Plot No. 8, 700091 Calcutta, India;(3) Present address: Office of the Controller of Examinations, University of Jadavpur, 700032 Calcutta, India |
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Abstract: | Summary An attempt is made to study the effective electron mass in quaternary alloys, taking a In1−x
Ga
x
As
y
P1−y
lattice matched to InP, by using the three-band Kane model under different physical conditions,e.g. bulk specimens, magnetic quantization, cross-field configuration, quantum well, electric-field-aided quantum well, magnetic-field-aided
quantum well, quantum well under cross fields, quantum well wires, electric-field-aided quantum well wires, magnetic-field-aided
quantum well wires and quantum well wires under cross fields by formulating the respective expressions. We have plotted the
effective Fermi level mass with various physical variables under different conditions. In the presence of a quantizing magnetic
field the effective mass depends on the spin splitting of Landau levels due to the spin-orbit splitting parameter of the valence
bands. Under cross-field configuration and the various quantum confined low-dimensional systems, the effective masses depend
on the respective quantum numbers in addition to the Fermi energies even for parabolic models because of the inherent features
of such systems. In addition, the corresponding results for relatively wide-gap materials have also been obtained from our
generalized formulations under certain limiting conditions. |
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Keywords: | Nonlocalized single-particle electronic states |
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