Investigation of specific heat in the monolayer graphene

Rastegar Sedehi, H R; Khordar, R

doi:10.47176/ijpr.20.2.38291

Document Type : Original Article

Authors

H R Rastegar Sedehi ¹
R Khordar ²

¹ 1. Department of Physics, Jahrom University, Jahrom, Iran.

² 2. Department of Physics, College of Sciences, Yasouj University, Yasouj, Iran.

https://doi.org/10.47176/ijpr.20.2.38291

Abstract

In this paper, we have investigated the specific heat of the monolayer graphene under the polaron effect. For this purpose, we have first considered an electron coupled to the longitudinal acoustic (LA) phonon on the surface of the graphene with Coulomb impurity. Then, we have obtained the ground state energy of the polaron by employing the variational method and unitary transformation. We have used non-extensive thermodynamics to calculate specific heat different substrates like SiC, HfO₂, h-BN, and SiO₂. The specific heat variation with Coulomb bound parameter, magnetic field, temperature, and charge is then studied for these different substances.

Keywords

References

. J Yan, Y Zhang, P Kim, and A Pinczuk, Phys. Rev. Lett. 98 (2007) 166802.

2. M Wang, D Galpaya, Z B Lai, Y Xu, and C Yan, Int. J. Smart Nano Mater. 5 (2014) 123.

3. D M Basko, Phys. Rev. B 78 (2008) 125418.

4. S Acharya and R Sharma Indian J. Phys 90 (2016) 543.

5. M Calandra and F Mauri, Phys. Rev. B 76 (2007) 205411.

6. Y J Kim, G Y Bae, S Chun, and W Park, J. Nanosci. Nanotechnol 16 (2016) 2769.

7. S Won, Nanoscale 6 (2014) 6057.

8. W Lee, S Suzuki, and M Miyayama, Nanomaterials 4 (2014) 599.

9. J W Rhim, and K Moon, Phys. Rev. B 84 (2011) 035402.

10. J P Hague, Phys. Rev. B 86 (2012) 064302.

11. G Giovannetti, P A Khomyakov, G Brocks, P J Kelly, J van den Brink, Phys. Rev. B 76 (2007) 073103.

12. C L Kane and E J Mele, Phys. Rev. Lett 95 (2005) 146802.

13. C L Kane and E J Mele, Phys. Rev. Lett 95 (2005) 226801.

14. B Xu, J Yin, Y D Xia, X G Wan, K Jiang, and Z G Liu, Appl. Phys. Lett 96 (2010) 163102.

15. G Lee, and K Cho, Phys. Rev. B 79 (2009) 165440.

16. Z W Wang, L Liu, and Z Q Li, Appl. Phys. Lett 106 (2015) 101601.

17. I T Lin, and J M Liu, Appl. Phys. Lett 103 (2013) 081606.

18. V M Pereira, J Nilsson, and A H C Neto, Phys. Rev. Lett 99 (2007) 166802.

19. B Hunt, J D S Yamagishi, A F Young, M Yankowitz, B J LeRoy, K Watanabe, T Taniguchi, P Moon, M Koshino, P J Herrero, and R C Ashoori, Science 340 (2013) 1427.

20. J P Hague, Phys. Rev. B 84 (2011) 155438.

21. M Kindermann, B Uchoa, and D L Mille, Phys. Rev. B 86 (2012) 115415.

22. Z H Ding, Y Zhao, and J L Xiao, Superlatt. Microstruct. 97 (2016) 298.

23. D M Basko, Phys. Rev. B 78 (2008) 125418.

24. T Stauber, N M R Peres, and A H Castro Neto, Phys. Rev. B 78 (2008) 085418.

25. B Kandemir, and A Mogulkoc, Solid State Commun. 177 (2014) 80.

26. D M Basko, Phys. Rev. B 76 (2007) 081405.

27. A Mogulkoc, M Modarresi, and B S Kandemir, Eur. Phys. J. B 88 (2015) 1.

28. M Modarresi, A Mogulkoc, M R Roknabadi, and N Shahtahmasebi, Physica E 66 (2015) 303.

29. K S Yi, D Kim, K S Park, and J J Quinn, Physica E 40 (2008) 1715.

30. M K Li, S J Lee, and T W Kang, Curr. Appl. Phys. 9 (2009) 769.

31. R Nasir, M A Khan, M Tahir, and K Sabeeh, J. Phys. Condens. Matter 22 (2010) 25503.

32. V Santos, R V Maluf, and C A S Almeida, Ann. Phys. NY 349 (2014) 402.

33. A R Wright, J Liu, Z Ma, Z Zeng, W Xu, and C Zhang, Microelectronics Journal 40 (2008) 716.

34. A Boumali, Phys. Scr 90 (2015) 045702.

35. C Tsallis, J. Stat. Phys 52 (1988) 479.

36. C Tsallis, “Introduction to Nonextensive Statistical Mechanics”, Springer: New York, USA (2009).

37. R Khordad, and H R Rastegar Sedehi Superlattice. Microst. 101 (2017) 559.

38. K Tarmissi, and A B Hamza, Expert Syst. Appl 36 (2009) 9409.

39. M Khader, and A B Hamza, Expert Syst. Appl 39 (2012) 5548.

40. J J Hopfield, and A V M Herz, Proc. Natl. Acad. Sci. 92 (1995) 6655.

41. R Khordad, and H R Rastegar Sedehi, Indian J. Phys 91 (2017) 825.

42. E P da Silva, C Tsallis, and E M F Curado, Physica A 199 (1993) 137.

43. J L Xiao, Superlatt. Microstruc 90 (2016) 308.

44. Y Sun, Z H Ding, and J L Xiao, J. Low. Temp. Phys 177 (2014) 151.

45. R Khordad, Contin. Mech. Thermodyn 28 (2016) 947.

46. R Khordad, and H R Rastegar Sedehi, J. Low. Temp. Phys. 190 (2018) 200.

47. R Khordad, Solid State Commun. 269 (2017) 118.

48. R Khordad, and H R Rastegar Sedehi, Indian J. Phys 92 (2018) 979.

49. T D Lee, F E Low, and D pines, Phys. Rev. 90 (1953) 297.

50. C Tsallis, R S Mendes, and A R Plastino, Physica A 261 (1998) 534.

51. Z W Wang, L Liu, and Z Q Li, Appl. Phys. Lett. 106 (2015) 101601..

Iranian Journal of Physics Research

Investigation of specific heat in the monolayer graphene

References

References

Volume 20, Issue 2 - Serial Number 80
September 2020
Pages 355-363

Investigation of specific heat in the monolayer graphene

References

References

Volume 20, Issue 2 - Serial Number 80September 2020Pages 355-363

Volume 20, Issue 2 - Serial Number 80
September 2020
Pages 355-363