Electronic localization in Hexagonal Core-Shell Nanowires Under External Fields
Localización Electrónica en Nanohilos con Estructura Núcleo-Corteza en Presencia de Campos Externos
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Hernández-Durán, A. N. ., Gutiérrez-Niño, W. ., & Miranda-Mercado, D. A. . (2020). Electronic localization in Hexagonal Core-Shell Nanowires Under External Fields. Respuestas, 25(3), 250–261. https://doi.org/10.22463/0122820X.2108
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Abstract
In the framework of the free electron inside a semiconductor, we analyzed the energy spectrum and electronic density of a GaAs-InAs Core-Shell Nanowire with hexagonal cross-section for a single electron numerically. The effect of a magnetic field applied in the direction of growth of the structure was also considered, and the corresponding Schrö- dinger equation for the localization probability in the transverse plane of the structure, in the presence of the field, was solved using the software COMSOL Multiphysics®. The results allow the identification of energetic shells, each composed by six levels, as a consequence of the hexagonal geometry, where six potential wells are created by the abrupt change of direction in the borders of the structure. Additionally, the Aharonov-Bohm oscillations of the system are analyzed for a structure with a significant shell thickness.
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M. Tchernycheva, L. Travers, G. Patriarche, F. Glas, J.-C. Har-mand, G. E. Cirlin, and V. G. Dubrovskii, “Au-assisted molecular beam epitaxy of inas nanowires: Growth and theoretical analy-sis,” Journal of Applied Physics, vol. 102, no. 9, 2007.
T. Rieger, M. Luysberg, T. Schäpers, D. Grützmacher, and M.-I. Lepsa, “Molecular beam epitaxy growth of gaas/inas core– shell nanowires and fabrication of inas nanotubes,” Nano letters, vol. 12, no. 11, pp. 5559–5564, 2012.
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J. A. Czaban, D. A. Thompson, and R. R. LaPierre, “Gaas core- shell nanowires for photovoltaic applications,” Nano letters, vol. 9, no. 1, pp. 148–154, 2008.
H.-K. Chang and S.-C. Lee, “The growth and radial analysis of si/ge core-shell nanowires,” Applied Physics Letters, vol. 97, no. 25, p. 251912, 2010.
M. U. Torres, A. Sitek, S. I. Erlingsson, G. Thorgilsson, V. Gud-mundsson, and A. Manolescu, “Conductance features of core-shell nanowires determined by their internal geometry,” Physical Review B, vol. 98, no. 8, 2018.
B. M. Wong, F. Léonard, Q. Li, and G. T. Wang, “Nanoscale ef-fects on heterojunction electron gases in gan/algan core/shell na-nowires,” Nano letters, vol. 11, no. 8, pp. 3074–3079, 2011.
N. Luo, G.-Y. Huang, G. Liao, L.-H. Ye, and H. Xu, “Band-inverted gaps in inas/gasb and gasb/inas core-shell nanowires,” Scientific reports, vol. 6, 2016.
L. García, I. Mikhailov, and H. Paredes, “E ect of conduction band nonparabolicity on aharonov-bohm oscillations in n-type inas/gaas quantum ring,” in Journal of Physics: Conference Se-ries, vol. 935. IOP Publishing, 2017.
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J. Marin, Y. Suaza, and I. Mikhailov, “Hydrogen-like donor in a core-shell nanowire under electric and magnetic fields,” Chemical Physics Letters, vol. 709, pp. 88–95, 2018.
E. Niculescu and A. Radu, “Laser-induced diamagnetic anisotropy of coaxial nanowires,” Current Applied Physics, vol. 10, no. 5, pp 1354-1359, 2010.
S.-K. Kim, R. W. Day, J. F. Cahoon, T. J. Kempa, K.-D. Song, H.- G. Park, and C. M. Lieber, “Tuning light absorption in core/shell silicon nanowire photovoltaic devices through morphological de-sign,” Nano letters, vol. 12, no. 9, pp. 4971–4976, 2012.
P. Corfdir, O. Marquardt, R. B. Lewis, C. Sinito, M. Ramsteiner, A. Trampert, U. Jahn, L. Geelhaar, O. Brandt, and V. M. Fomin, “Excitonic aharonov–bohm oscillations in core–shell nanowires,” Advanced Materials, vol. 31, no. 3, p. 1805645, 2019.
E. Switkes, E. L. Russell, and J. L. Skinner, “Kinetic energy and path curvature in bound state systems,” The Journal of Chemical Physics, vol. 67, no. 7, pp. 3061–3067, 1977.
A. Ballester, J. Planelles, and A. Bertoni, “Multi-particle states of semiconductor hexagonal rings: Artificial benzene,” Journal of Applied Physics, vol. 112, no. 10, 2012.
P. Yang, H. Yan, S. Mao, R. Russo, J. Johnson, R. Saykally, N. Morris, J. Pham, R. He, and H.-J. Choi, “Controlled growth of zno nanowires and their optical properties,” Advanced Functional Materials, vol. 12, no. 5, pp. 323–331, 2002.
M. Burt, “The justification for applying the e ective-mass ap-proximation to microstructures,” Journal of Physics: Condensed Matter, vol. 4, no. 32, 1992.
I. Vurgaftman, J. á. Meyer, and L. á. Ram-Mohan, “Band parame-ters for iii–v compound semiconductors and their alloys,” Journal of applied physics, vol. 89, no. 11, pp. 5815–5875, 2001.
F. Haas, K. Sladek, A. Winden, M. Von der Ahe, T. Weirich, T. Rieger, H. Lüth, D. Grützmacher, T. Schäpers, and H. Hardt-degen, “Nanoimprint and selective-area movpe for growth of gaas/inas core/shell nanowires,” Nanotechnology, vol. 24, no. 8, 2013.
R. M. G. Francis A. Carey, Organic Chemistry. McGraw Hill, 2011.
A. Bruno-Alfonso and A. Latgé, “Aharonov-bohm oscillations in a quantum ring: Eccentricity and electric-field e ects,” Physical Review B, vol. 71, no. 12, 2005.
