Abstract
In this paper, we intend to study the effect of variable mass on the binding energy. In this regard, we apply an analytic expression for position-dependent effective mass in a cubic quantum dot. Then, we obtain the binding energies of a shallow donor in the quantum dot of GaAs/Al x Ga1−x As using a variational procedure within the effective mass approximation. Calculations are presented with a constant effective mass and position-dependent effective mass. It is found that (i) the binding energy decreases as the dot length increases in both the cases of constant and variable masses, (ii) an increase of binding energy is observed when the spatially varying mass is included, and (v) the binding energy shows complicated behavior when the position-dependent mass is included for the small dot size L ≤ 130 Å.
Similar content being viewed by others
References
R. Khordad, A. Gharaati, M. Haghparast, Curr. Appl. Phys. 10, 199 (2010)
R. Khordad, Physica E 41, 543 (2009)
R. Khordad, A.R. Bijanzadeh, Mod. Phys. Lett. B 23, 3677 (2009)
D. Bimberg, M. Grundman, N. Ledentsov, Quantum Dot Heterostructures (Wiley, New York, 1999)
A.D. Yoffe, Adv. Phys. 42, 173 (1993)
R.C. Ashoori, H.L. Stromer, J.S. Weiner, L.N. Pfeiffer, K.W. Baldwin, K.W. West, Physica B 189, 117 (1993)
K.L. Janssens, F.M. Peeters, V.A. Schweigert, Phys. Rev. B 63, 205311 (2001)
N.V. Lien, N.M. Trinh, J. Phys.: Condens. Matter 13, 2563 (2001)
M. Brasken, M. Lindberg, D. Sundholm, J. Olsen, Phys. Rev. B 61, 7652 (2000)
P. Nithiananthi, K. Jayakumar, Int. J. Mod. Phys. B 17, 5811 (2003)
W.P. Yuen, Phys. Rev. B 48, 17316 (1993)
S. Flugge, Practical Quantum Mechanics (Springer, Berlin, 1971)
B. Çakir, Y. Yakar, A. Özmen, M. Özgür Sezer, M. Şahin, Superlattices Microstruct. 47, 556 (2010)
A. Özmen, Y. Yakar, B. Çakir, Ü. Atav, Opt. Commun. 282, 3999 (2009)
W.F. Xie, Physica B 403, 4319 (2008)
L.A. Juharyan, E.M. Kazaryan, L.S. Petrosyan, Solid State Commun. 139, 537 (2006)
Z.Y. Deng, X. Chen, T. Ohji, T. Kobayashi, Phys. Rev. B 61, 15905 (2000)
G. Weber, A.M.D. Paula, Phys. Rev. B 63, 113307 (2001)
E. Sadeghi, R. Khordad, Braz. J. Phys. 36, 1213 (2006)
S.S. Li, J.B. Xia, J. Appl. Phys. 101, 093716 (2007)
S.S. Li, J.B. Xia, J. Appl. Phys. 100, 083714 (2006)
S.S. Li, J.B. Xia, Phys. Lett. A 366, 120 (2007)
E.M. Kazaryan, A.V. Meliksetyan, L.S. Petrosyan, H.A. Sarkisyan, Physica E 31, 228 (2006)
P. Nithiananthi, K. Jayakumar, Solid State Commun. 137, 427 (2006)
G.T. Landsberg, Solid State Theory: Methods and Applications (Wiley Interscience, London, 1969)
J.C. Slater, Phys. Rev. 76, 1592 (1949)
G.H. Wannier, Phys. Rev. 52, 191 (1937)
T. Gora, F. Williams, Phys. Rev. 177, 1179 (1969)
C.M. van Vliet, A.H. Marshak, Phys. Rev. B 26, 6734 (1982)
O. von Roos, Appl. Phys. Commun. 2, 57 (1982)
O. von Roos, Phys. Rev. B 27, 7547 (1983)
A.J. Peter, K. Navaneethakrishnan, Physica E 40, 2747 (2008)
S. Rajashabala, K. Navaneethakrishnan, Braz. J. Phys. 37, 1134 (2007)
R. Khordad, Physica E 42, 1503 (2010)
S. Rajashabala, K. Navaneethakrishnan, Mod. Phys. Lett. B 24, 1529 (2006)
Y.X. Li, J.J. Liu, X.J. Kong, J. Appl. Phys. 88, 2588 (2000)
X.H. Qi, X.J. Kong, J.J. Liu, Phys. Rev. B 58, 10578 (1998)
M. Neuberger, Handbook of Electronic Materials, III-V Semiconducting Compounds (IFI/Plenum, New York, 1971), Vol. 2
R. Tsu, Superlattice to Nanoelectronics (Elsevier, 2005)
G.A. Sai-Halasez, R. Tsu, L. Esaki, Appl. Phys. Lett. 30, 651 (1977)
S. Ünlü, İ. Karabulut, H. Şafak, Physica E 33, 319 (2006)
R. Khordad, Eur. Phys. J. B 78, 399 (2010)
R. Khordad, Physica B 406, 3911 (2011)
F.J. Ribeiro, A. Latgé, Phys. Rev. B 50, 4913 (1994)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Khordad, R. Hydrogenic donor impurity in a cubic quantum dot: effect of position-dependent effective mass. Eur. Phys. J. B 85, 114 (2012). https://doi.org/10.1140/epjb/e2012-20435-6
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2012-20435-6