Abstract
In the present work, we have considered an exciton confined in a quantum dot with modified Kratzer potential. We have studied the electronic and optical properties of the system by using the numerical diagonalization of the Hamiltonian matrix. For this purpose, we have calculated the binding energies of the ground and first excited states as functions of the quantum dot size. We have also computed the linear, nonlinear and total absorption coefficients between ground and first excited states. It is found that the quantum dot radius has an important role on the binding energy and absorption coefficient.
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K J Moore, G Duggan, K Woodbridge and C Roberts Phys. Rev. B 41 1090 (1990)
K J Moore, G Duggan, K Woodbridge and C Roberts Phys. Rev. B 41 1095 (1990)
M M Dignam and J E Sipe Phys. Rev. B 41 2865 (1990)
P Bigenwald, B Gil, A Kavokin and P Christol Phys. Stat. Sol. A 183 125 (2001)
G Mandal and T Ganguly Indian J. Phys. 85 1229 (2011)
R Khordad Indian J. Phys. 86 653 (2012)
S Sarmah and A Kumar Indian J. Phys. 85 713 (2011)
S Tekerek, A Kudret and Ü Alver Indian J. Phys. 85 1469 (2011)
S Karan, D Dutta Majumder and A Goswami Indian J. Phys. 86 667 (2012)
S Mitra et al. Indian J. Phys. 85 649 (2011)
M R Vaezi, S K Shendy and T Ebadzadeh Indian J. Phys. 86 9 (2012)
R Khordad Eur. Phys. J. B 78 399 (2010)
R Khordad, G Rezaei, B Vaseghi, F Taghizade and H A Kenari Opt. Quant. Electron 42 587 (2012)
W Xie and S Liang Physica B 406 4657 (2011)
W-P Li, Z-W Wang, J-W Yin, Y-F Yu and J-L Xiao Physica B 403 3709 (2008)
L Esaki, R Tsu, L L Chang and G A Sai-Halasz Phys. Rev. Lett. 34 1509 (1975)
S W Lee, K Hirakawa and Y Shimada Appl. Phys. Lett. 75 1428 (1999)
S S Li and J B Xia Phys. Rev. B 55 15434 (1997)
R Buczko and F Bassani Phys. Rev. B 54 2667 (1996)
V Bondarenko and Y Zhao J. Phys. Condens. Matter 15 1377 (2003)
S Yilmaz and H Safak Physica E 36 40 (2007)
S Sauvage and P Boucand Phys. Rev. B 59 9830 (1999)
G Bastard Phys. Rev. B 24 4714 (1981)
E Kasapoglu, H Sari and I Sokmen Physica E 19 332 (2003)
J Lee and H N Spector J. Vac. Sci. Technol. B 2 16 (1984)
M Bouhassoune, R Charrour, M Fliyou, D Bria and A Nougaoui Physica B 304 389 (2001)
G W Bryant Phys. Rev. B 29 6632 (1984)
E P Pokatilov, V M Fomin, S N Balaban, S N Klimin and J T Devreese Phys. Status Solidi B 210 879 (1998)
H J Xie, C Y Chen and B K Ma Phys. Rev. B 61 4827 (2000)
A Gharaati and R Khordad Indian J. Phys. 85 433 (2011)
N Porras-Montenegro and S T Perez-Merchancano Phys. Rev. B 46 9780 (1992)
J L Zhu Phys. Rev. B 39 8780 (1989)
J L Zhu, J J Xiong and B L Gu Phys. Rev. B 41 6001 (1990)
E Hanamura Phys. Rev. B 38 1228 (1988)
R Chen, D L Lin and B Mendoza Phys. Rev. B 48 11879 (1993)
G Wang and K Guo Physica B 315 234 (2002)
H F Hess, E Betzig, T D Harris, L N Pfeiffer and K W West Science 264 1740 (1994)
K Brunner, G Abstreiter, G Böhm, G Tränkle and G Weimann Phys. Rev. Lett. 73 1138 (1994)
D Gammon, E S Snow, B V Shanabrook, D S Katzer and D Park Science 273 87 (1996)
J R Haynes Phys. Rev. Lett. 4 361 (1960)
C C Yang, L C Liu and S H Chang Phys. Rev. B 58 1954 (1998)
K L Janssens, F M Peeters and V A Schweigert Phys. Rev. B 63 205311 (2001)
M Brasken, M Lindberg, D Sundholm and J Olsen Phys. Rev. B 61 7652 (2000)
A Kratzer Z. Phys. 3 289 (1920)
E Fues Ann. Phys. 80 367 (1926)
K J Oyewumi Int. J. Theor. Phys. 49 1302 (2010)
S H Dong and R Lemus Int. J. Quantum Chem. 86 265 (2002)
S H Patil and K D Sen Phys. Lett. A 362 109 (2007)
S M Ikhdair and R Sever J. Mol. Structure 806 155 (2007)
M Aygun, O Bayrak, I Boztosun and Y Sahin Eur. Phys. J. D 66 35 (2012)
P G Hajigeorgiou J. Mol. Spectrosc. 235 111 (2006)
A Durmus and F Yasuk J. Chem. Phys. 126 074108 (2007)
W Xie Physica B 315 240 (2002)
W Xie Superlatt. Microstruct. 46 693 (2009)
W Xie and R Wenying Commun. Theor. Phys. 29 531 (1998)
R Khordad Indian J. Phys. 86 513 (2012)
R Khordad, S Tafaroji, R Katebi and A Ghanbari Commun. Theor. Phys. 57 1076 (2012)
L Liu, J Li and G Xiong Physica E 25 466 (2005)
M Sahin Phys. Rev. B 77 045317 (2008)
R L Greene, K K Bajaj and D E Phelps Phys. Rev. B 29 1807 (1984)
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Khordad, R. Confinement of an exciton in a quantum dot: effect of modified Kratzer potential. Indian J Phys 87, 623–628 (2013). https://doi.org/10.1007/s12648-013-0281-9
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DOI: https://doi.org/10.1007/s12648-013-0281-9