Bhattachrya, S and Paitya, N and Ghatak, KP (2013) Simple theoretical analysis of the effective electron mass in semiconductor nanowires. In: Journal of Computational and Theoretical Nanoscience, 10 (9). pp. 1999-2018.
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In this paper we study the effective electron mass (EEM) in Nano wires (NWs) of nonlinear optical materials on the basis of newly formulated electron dispersion relation by considering all types of anisotropies of the energy band constants within the framework of k . p formalism. The results for NWs of III-V, ternary and quaternary semiconductors form special cases of our generalized analysis. We have also investigated the EEM in NWs of Bi, IV-VI, stressed Kane type materials, Ge, GaSb and Bi2Te3 by formulating the appropriate 1D dispersion law in each case by considering the influence of energy band constants in the respective cases. It has been found that the 1D EEM in nonlinear optical materials depend on the size quantum numbers and Fermi energy due to the anisotropic spin orbit splitting constant and the crystal field splitting respectively. The 1D EEM is Bi, IV-VI, stressed Kane type semiconductors and Ge also depends on both the Fermi energy and the size quantum numbers which are the characteristic features of such NWs. The EEM increases with increase in concentration and decreasing film thickness and for ternary and quaternary compounds the EEM increases with increase in alloy composition. Under certain special conditions all the results for all the materials get simplified into the well known parabolic energy bands and thus confirming the compatibility test.
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of Computational and Theoretical Nanoscience |
| Publisher: | American Scientific Publishers |
| Additional Information: | Copyright of this article belongs to American Scientific Publishers. |
| Keywords: | Nanowires; Effective Electron Mass; Non-Linear Optical Materials; Optoelectronic Compounds |
| Department/Centre: | Division of Electrical Sciences > Electronic Systems Engineering (Formerly Centre for Electronic Design & Technology) |
| Date Deposited: | 25 Sep 2013 09:49 |
| Last Modified: | 25 Sep 2013 09:49 |
| URI: | http://eprints.iisc.ac.in/id/eprint/47425 |
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