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Specific Heat of a Quantum Dot Superlattice System in the Presence of a Magnetic Field

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Abstract

In this paper, we have investigated the specific heat of a quantum dot superlattice system in the presence of a magnetic field parallel to the superlattice axis and confined in a lateral parabolic quantum well. We took the effect of the Rashba spin–orbit interaction and Zeeman term on the specific heat into account. We have calculated the energy spectrum of the electron in the quantum dot superlattice system. Moreover, we have calculated the specific heat dependence on the magnetic field and temperature of a quantum dot superlattice system.

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References

  1. B.M. Askerov, S.R. Figarova, M.M. Mahmudov, Proc. R. Soc. A 464, 3213–3218 (2008). https://doi.org/10.1098/rspa.2008.0092

    Article  ADS  Google Scholar 

  2. S.R. Figarova, V.R. Figarov, Rus. J. Phys. 64, 5 (2021). https://doi.org/10.1007/s11182-021-02413-3

    Article  Google Scholar 

  3. T. Mishra, T.G. Sarkar, J.N. Bandyopadhyay, Phys. Rev E 89, 012103 (2014). https://doi.org/10.1103/PhysRevE.89.012103

    Article  ADS  Google Scholar 

  4. S. Gumber, M. Kumar, P. Kumar Jha, M. Mohan, Chin. Phys. B 25(5), 056502 (2016). https://doi.org/10.1088/1674-1056/25/5/056502

    Article  Google Scholar 

  5. G.B. Ibragimov, Thermodynamics of quantum wires with a parabolic potential in the tilted magnetic field. Azerbaijan Journal of Fizika 9(3–4), 35 (2001)

    Google Scholar 

  6. R. Khordad, Effect of temperature on magnetic susceptibility and thermodynamics properties of an asymmetric quantum dot in the tilted magnetic field. Mod. Phys. Lett. B 29(23), 155012 (2015). https://doi.org/10.1142/S0217984915501274

    Article  Google Scholar 

  7. S.C. Lee, S.W. Kim, J. Korean Phys. Soc. 61(1), 162–167 (2012). https://doi.org/10.3938/jkps.61.162

    Article  ADS  Google Scholar 

  8. O. Voskoboynikov, C.P. Lee, O. Tretyak, Phys. Rev B (2001). https://doi.org/10.1103/PhysRevB.63.165306

    Article  Google Scholar 

  9. S.C. Lee, S.W. Kim, J. Korean Phys. Soc. (2012). https://doi.org/10.3938/jkps.60.436

    Article  Google Scholar 

  10. O. Voskoboynikov, C.P. Lee, O. Tretyak, J. Appl. Phys. (2003). https://doi.org/10.1063/1.1614426

    Article  Google Scholar 

  11. B. Boyacioglu, A. Chatterjee, J. Appl. Phys. (2012). https://doi.org/10.1063/1.4759350

    Article  Google Scholar 

  12. M.Z. Malik, D.S. Kumar, S. Mukhopadhyay, A. Chatterjee, Phys. E (2020). https://doi.org/10.1016/j.physe.2020.114097

    Article  Google Scholar 

  13. H.R. Rastegar Sedehil, A. Arda, R. Sever, Opt. Quantum Electron. (2021). https://doi.org/10.1007/s11082-021-02783-5

    Article  Google Scholar 

  14. J.D. Castano-Yepes, D.A. Amor-Quiroz, C.F. Ramirez-Gutierrez, E.A. Gomaz, Phys. E (2019). https://doi.org/10.1016/j.physe.2019.01.001

    Article  Google Scholar 

  15. B.M. Askerov, S.R. Figarova, M.M. Mahmudov, V.R. Figarov, Jpn. J. Appl. Phys. 50, 110 (2011). https://doi.org/10.1143/JJAP.50.05FE10

    Article  Google Scholar 

  16. Y.B. Levinson, M.I. Lubin, E.V. Sukhorukov, Phys. Rev. B (1992). https://doi.org/10.1103/PhysRevB.45.11936

    Article  Google Scholar 

  17. V.A. Geiler, V.A. Margulis, JETP (1997). https://doi.org/10.1134/1.558259

    Article  Google Scholar 

  18. T. Chakraborty, Quantum Dots (Elsevier, Amsterdam, 1999)

    Book  Google Scholar 

  19. B.M. Askerov, S.R. Figarova, M.M. Mahmudov, Phys. E 32, 303–307 (2006). https://doi.org/10.1016/j.physe.2006.02.042

    Article  Google Scholar 

  20. B. Stephen, Magnetism in Condensed Matter, Department of Physics, University of Oxford (2001)

  21. A.M. Ermolaev, G.I. Rashba, Introduction to Statistical Physics and Thermodynamics, KhNU named after edited by V. N. Karazin (Kharkiv, 2004) (in Russian).

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Babanli, A.M. Specific Heat of a Quantum Dot Superlattice System in the Presence of a Magnetic Field. J Low Temp Phys 209, 68–77 (2022). https://doi.org/10.1007/s10909-022-02762-4

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  • DOI: https://doi.org/10.1007/s10909-022-02762-4

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