The Effect of Relativistic Quantum Corrections on the Thermal Properties of Three-Dimensional Spherical Semiconductor Quantum Dot Under a Magnetic Field
DOI:
https://doi.org/10.26713/jamcnp.v5i1.908Keywords:
Quantum dot, Magnetic field, Relativistic corrections, Pressure, Thermodynamic propertiesAbstract
The ground state and excited states energies of 2-electron quantum dot with spherical harmonic oscillator type potential has been determined. The energy spectrum and wave functions for the quantum dot of asymmetric confinement are obtained by analytically solving the eigenvalue equation in the magnetic field. The effect of various relativistic corrections to kinetic energy, Darwin term and spin-orbit for the zero-dimensional structure to the energy eigenvalues and wave functions is also investigated. The thermal properties like internal energy, entropy and free energy are discussed graphically with radius of quantum dot and pressure and are found to have interesting dependence on the radius and pressure parameter with relativistic corrections for our model.Downloads
References
E. Rotenberg, B.K. Freelon, H. Koh, A. Bostwick, K. Rossnagel, A. Schmid and S.D. Kevan, New J.Phys. 7, 114 (2005).
A. Goyal, I. Khatri, A.K. Singh and Man Mohan, Indian Journal of Pure and Applied Physics 53 604, (2015).
M.A. Reed, Sci. Am. 268, 118 (1993); O. Quasaimeh, K. Kamath, P. Bhattacharya, P.J. McCann and K. Namjou, App. Phys. Lett. 72, 1275 (1998).
S. Krishna, O. Quasaimeh, K. Kamath, P. Bhattacharya, P.J. McCann and K. Namjou, App. Phys. Lett. 76, 3355 (2000); H. Jiang and J. Singh, Physica E (Amsterdam) 2, 720 (1998).
M. Tanaka, H. Yamada, T. Maruyama and K. Akimoto, Phys. Rev. B 67, 045305 (2003); R. Khordad, A. Gharaati and M. Haghparast, Current Appl. Phys. 10, 199 (2010).
D.H. Feng, Z.Z. Xu, T.Q. Jia, X.X. Li and S.Q. Gong, Phys. Rev. B 68, 035334 (2003); R. Khordad, Physica E 41, 543 (2009).
B. Vaseghi, R. Khordad and M.M. Golshan, Phys. Status Solidi B 243, 2772 (2006); E. Sadeghi and R. Khordad, Brazil. J. Phys. 36, 1213 (2006).
S. Axelsson, E.E.B. Campbell, L.M. Jonsson, J. Kinaret, S.W. Lee, Y.W. Park and M. Sveningsson, New J. Phys. 7, 245 (2005).
T. Mano, T. Kuroda, K. Kuroda and K. Sakoda, J. Nanophoton. 3, 031605 (2009).
S. Sarmah and A. Kumar, Indian J. Phys. 84, 1211 (2010).
T. Mano, T. Kuroda, S. Sanguinetti, T. Ochiai, T. Tateno, J. Kim, T. Noda, M. Kawabe, K. Sakoda, G. Kido and N. Koguchi, Nano Lett. 5, 425 (2005).
T. Mano and N. Koguchi, J. Cryst. Growth 278, 108 (2005).
A. Ozpineci and S. Ciraci, Physical Review B 63(12), 125415 (2001).
B.J. van Wees, H. van Houten, C.W.J. Beenakker, J.G. Williamson, L.P. Kouwenhoven, D. van der Marel and C.T. Foxon, Chem. Phys. 60 (9), 848 – 850 (1988).
C. Cohen-Tannoudji, B. Diu and F. Laloí«, Quantum Mechanics, Wiley, New York, NY, USA (1977).
C. Kittel, Introduction to Solid State Physics, 8th edition, Wiley, New York, USA (2005).
C.Y. Chen, Y. You, X.H. Wang and S.H. Dong, Phys. Lett. A 377, 1521 (2013); R. Khordad, Superlatt. Microstruct. 110, 146 (2017).
R. Khordad, Indian J. Phys. 88, 275 (2014).
C. Sikorsky and U. Merkt, Phys. Rev. Lett. 62, 2164 (1989).
V.A. Holvatsky, O.M. Makhanets and O.M. Voitsekhivska, Physica E 41, 1522 (2009).
A. D'Andrea, R. Del Sole and K. Cho, Europhysics Letters 11(2), 169 – 174 (1990).
B. Boyacioglu and A. Chatterjee, J. Appl. Phys. 112, 083514 (2012); K.J. Bala, A. John Peter and C.W. Lee, Chem. Phys. 495, 42 (2017).
A. Bera and M. Ghosh, Physica B 515, 18 (2017).
C.Y. Chen and D.S. Sun, Acta Photon. Sin. 30, 104 (2001).
W. Xie, Chem. Phys. 423, 30 (2013).
D.B. Hayrapetyan, S.M. Amirkhanyan, E.M. Kazaryan and H.A. Sarkisyan, Physica E 84, 367 (2016).
O. Ciftja and M.G. Faruk, Phys. Rev. B 72, 205334 (2005).
G.H. Liu and K.X. Guo, Superlattices Microstruct. 52, 997 (2012); M.V. Carpio-Bernido and C.C. Bernido, Phys. Lett. A 134, 395 (1989).
A. Hernando, Europhysics News 34 (6), 209 (2003).
S.N. Saravanamoorthy, A. John Peter and C.W. Lee, Chem. Phys. 483 (2017), 1.
C.Y. Chen, F.L. Lu, D.S. Sun, Y. You and S.H. Dong, Ann. Phys. 371, 183 (2016).
A. Boda, D.S. Kumar, I.V. Sankar and A. Chatterjee, J. Mag. Mag. Mater. 418, 242 (2016).
V.G. Dubrovskii and N. Sibirev, Phy. Rev. B 77, 035414 (2008).
V. Schmidt, J.V. Wittemann and U. Gösele, Chem. Rev. 110, 361 (2010).
R. Khordad, Int. J. Thermophys. 34, 1148 (2013).
R. Khordad, Int. J. Theor. Phys. 52, 837 – 848 (2013).
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