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Anisotropic size quantization and semimetal-semiconductor phase transition in bismuth-like cylindrical nanowires

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UNSPECIFIED (2004) Anisotropic size quantization and semimetal-semiconductor phase transition in bismuth-like cylindrical nanowires. SEMICONDUCTOR SCIENCE AND TECHNOLOGY, 19 (1). pp. 106-112. doi:10.1088/0268-1242/19/1/018 ISSN 0268-1242.

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Official URL: http://dx.doi.org/10.1088/0268-1242/19/1/018

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Abstract

The electronic subband structure of carriers in bismuth-like cylindrical nanowires is investigated analytically, using an anisotropic effective mass model. Quantum confinement effects are found to be significantly enhanced over the results of a quasi-isotropic approach, due to the correct consideration of both the mass anisotropy and the boundary shape of the wire. The size quantization problem for a carrier with anisotropic effective mass parameters in a cylindrical well is shown to be equivalent to that of a carrier with some isotropic effective mass in an elliptical well. Detailed study of the energy levels reveals their orbital degeneracy is lifted by the elliptic symmetry, where the degree of ellipticity corresponds to the mass anisotropy. Carrier motion is analysed by analogy to the geometrical optics of elliptic waveguides, with bounding caustic curves defining two groups inside the wire that correspond to 'whispering gallery' and 'jumping ball' modes. The additional confinement, arising from the mass anisotropy, leads to larger critical wire diameters for the semimetal-to-semiconductor transition, which is investigated for wires of different crystallographic orientation.

Item Type: Journal Article
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
T Technology > TA Engineering (General). Civil engineering (General)
Q Science > QC Physics
Journal or Publication Title: SEMICONDUCTOR SCIENCE AND TECHNOLOGY
Publisher: IOP PUBLISHING LTD
ISSN: 0268-1242
Official Date: January 2004
Dates:
DateEvent
January 2004UNSPECIFIED
Volume: 19
Number: 1
Number of Pages: 7
Page Range: pp. 106-112
DOI: 10.1088/0268-1242/19/1/018
Publication Status: Published

Data sourced from Thomson Reuters' Web of Knowledge

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