Abstract
In the present work, the Schrödinger equation is analytically solved for a GaAs/Ga1-x Al x As spherical quantum antidot with a hydrogenic donor impurity at the center. Then, the effect of pressure on the spin–orbit interaction and binding energy of the quantum antidot is studied within the effective mass approximation. It is observed that (i) the binding energy increases with increasing pressure, (ii) the level splitting increases by increasing pressure and (iii) the splitting decreases with increasing antidot size.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L C L Y Voon and M Willatzen J. Phys. Condens. Matter 14 13667 (2002)
R Khordad, S Tafaroji, R Katebi and A Ghanbari Commun. Theor. Phys. 57 1076 (2012)
R Khordad and B Mirhosseini Opt. Commun. 285 1233 (2012)
R Khordad Indian J. Phys. 86 513 (2012)
R Khordad Indian J. Phys. 86 653 (2012)
N Aquino, E Castano and E L Koo Chin. J. Phys. 41 276 (2003)
C Y Hsieh and D S Chuu J. Phys. Condens. Matter 12 8641 (2000)
V A Holovatsky, O M Makhanets and O M Voitsekhisska Physica E 41 1522 (2009)
J Cui et al Appl. Phys. Lett. 83 2907 (2003)
O Voskoboynikov and C P Lee Physica E 20 278 (2004)
J Planelles, J I Climente and F Rajadell Physica E 33 370 (2006)
I Zutic and J Fabian Nature 447 269 (2007)
I Zutic, J Fabian and S Das Sarma Rev. Mod. Phys. 76 323 (2004)
I Zutic, J Fabian and S Das Sarma Appl. Phys. Lett. 79 1558 (2001)
G E Pikus and A N Titkov, Optical Orientation ed. F Meier and B P Zakharchenya (New York: Elsevier Science) (1984)
J C Egues, G Burkard and D Loss Phys. Rev. Lett. 89 176401 (2002)
E I Rashba and A L Efors Phys. Rev. Lett. 91 126405 (2003)
W Kohn Solid State Phys. 5 257 (1957)
H Haug and S W Koch Quantum theory of the optical and electronic properties of semiconductors, (Singapore: World Scientific) 3rd ed. (1994)
G Bastard Phys. Rev. B 24 4714 (1981)
J Bhadra and D Sarkar Indian J. Phys. 84 1321 (2010)
J Bhadra and D Sarkar Indian J. Phys. 84 693 (2010)
W Xie J. Luminescence 131 943 (2011)
R Khordad Superlatt. Microstruct. 47 422 (2011)
A J Peter and K Navaneethakrishnan Superlatt. Microstruct. 43 63 (2008)
A Abramowitz and I Stegun Handbook of mathematical function with formulas, graphs and mathematical tables (Wshington DC: National Bureau of Standards) (1994)
G A Samara Phys. Rev. B 27 3494 (1983)
R F Kopf et al J. Appl. Phys. 71 5004 (1992)
J M Mercy et al Surf. Sci. 142 298 (1984)
D E Aspnes Phys. Rev. B 14 5331 (1976)
B Welber, M Cardona, C K Kim and S Rodriquez Phys. Rev. B 12 5729 (1975)
H Ehrenrich J. Appl. Phys. 32 2155 (1961)
E O Kane J. Phys. Chem. Solids. 1 249 (1957)
R Khordad Physica B 407 1128 (2012)
W Paul J. Appl. Phys. 32 2082 (1961)
S Adachi J. Appl. Phys. 58 R1 (1985)
R L Kallaher, J J Heremans, N Goel, S J Chung and M B Santos Phys. Rev. B 81 075303 (2010)
C C Yang, L C Liu and S H Chang Phys. Rev. B 58 1954 (1998)
R S Daries Bella and K Navaneethakrishnan Solid State Commun. 130 773 (2004)
S Rajashabala and K Navaneethakrishnan Physica E 40 843 (2008)
J E Furst, W M K P Wijayaratna, D H Madison and T J Gay Phys. Rev. A 47 3775 (1993)
P T C Freire, V Lemos, O Pilla and N D Vieira Jr J. Chem. Phys. 110 3995 (1999)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Khordad, R., Fathizadeh, N. Pressure effect on spin–orbit interaction in a spherical quantum antidot. Indian J Phys 87, 229–234 (2013). https://doi.org/10.1007/s12648-012-0222-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-012-0222-z