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Application of k \(\cdot \) p method on band structure of GaAs obtained through joint density-functional theory

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Abstract

The structural and electronic properties of zinc-blende GaAs were calculated within the framework of plane-wave density-functional theory code JDFTx by using Becke 86 in 2D and PBE exchange-correlation functionals from libXC. The standard optimized norm-conserving Vanderbilt pseudopotentials were used to calculate optimized lattice constants, band gap and spin–orbit (SO) split-off parameter. The calculated values of optimized lattice constants and direct band gap are in satisfactory agreement with other published theoretical and experimental findings. By including SO coupling, conduction bands and valence bands were studied under parabolicity to calculate effective masses. The calculated values of effective masses and SO split-off parameter are in satisfactory agreement with most recent findings. This study will be useful for more computational studies related to semiconductor spintronic devices.

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References

  1. Žutić I, Fabian J and Sarma S D 2004 Rev. Mod. Phys. 76 323

    Google Scholar 

  2. Fabian J, Matos-Abiague A, Ertler C, Stano P and Žutić I 2007 Acta Phys. Slovaca 57 565

    CAS  Google Scholar 

  3. Campos T, Junior P E F, Gmitra M, Sipahi G M and Fabian J 2018 Phys. Rev. B 97 245402

    CAS  Google Scholar 

  4. Dresselhaus G 1955 Phys. Rev. 100 580

    CAS  Google Scholar 

  5. Fabian J and Sarma S D 1999 J. Vac. Sci. Technol. B 17 1708

    CAS  Google Scholar 

  6. Meier F and Zakharchenya B P 2012 Optical orientation (North-Holland: Elsevier)

  7. Sinova J, Valenzuela S O, Wunderlich J, Back C H and Jungwirth T 2015 Rev. Mod. Phys. 87 1213

    Google Scholar 

  8. Ganichev S D 2008 Int. J. Mod. Phys. B 22 1

    CAS  Google Scholar 

  9. Fern R E and Onton A 1971 J. Appl. Phys. 42 3499

    CAS  Google Scholar 

  10. Adachi S 1987 Phys. Rev. B 35 7454

    CAS  Google Scholar 

  11. Joyce H J, Docherty C J, Gao Q, Tan H H, Jagadish C, Lloyd-Hughes J et al 2013 Nanotechnology 24 214006

    Google Scholar 

  12. Garriga M, Lautenschlager P, Cardona M and Ploog K 1987 Solid State Commun. 61 157

    CAS  Google Scholar 

  13. Djurišić A B, Rakić A D, Kwok P C, Li E H and Majewski M L 1999 J. Appl. Phys. 85 3638

    Google Scholar 

  14. Remediakis I N and Kaxiras E 1999 Phys. Rev. B 59 5536

    CAS  Google Scholar 

  15. Lebègue S, Arnaud B, Alouani M and Bloechl P E 2003 Phys. Rev. B 67 155208

    Google Scholar 

  16. Koller D, Tran F and Blaha P 2011 Phys. Rev. B 83 195134

    Google Scholar 

  17. Tomić S, Montanari B and Harrison N M 2008 Physica E 40 2125

    Google Scholar 

  18. Shimazaki T and Asai Y 2010 J. Chem. Phys. 132 224105

    Google Scholar 

  19. Kim Y S, Marsman M, Kresse G, Tran F and Blaha P 2010 Phys. Rev. B 82 205212

    Google Scholar 

  20. Wang Y, Yin H, Cao R, Zahid F, Zhu Y, Liu L et al 2013 Phys. Rev. B 87 235203

    Google Scholar 

  21. Hinuma Y, Grüneis A, Kresse G and Oba F 2014 Phys. Rev. B 90 155405

    Google Scholar 

  22. Perdew J P and Zunger A 1981 Phys. Rev. B 23 5048

    CAS  Google Scholar 

  23. Chantis A N, van Schilfgaarde M and Kotani T 2006 Phys. Rev. Lett. 96 086405

    Google Scholar 

  24. Cardona M, Christensen N E and Fasol G 1988 Phys. Rev. B 38 1806

    CAS  Google Scholar 

  25. Winkler R 2003 Spin–orbit coupling effects in two-dimensional electron and hole systems (Berlin: Springer)

    Google Scholar 

  26. Sundararaman R and Arias T A 2013 Phys. Rev. B 87 165122

    Google Scholar 

  27. Plaza M, Huang X, Ko J Y P, Shen M, Simpson B H, Rodríguez-Löpez J et al 2016 J. Am. Chem. Soc. 138 7816

    CAS  Google Scholar 

  28. Brown A M, Sundararaman R, Narang P, Goddard III W A and Atwater H A 2016 ACS Nano 10 957

    CAS  Google Scholar 

  29. Sundararaman R, Narang P, Jermyn A S, Goddard III W A and Atwater H A 2014 Nat. Commun. 5 5788

    CAS  Google Scholar 

  30. Sundararaman R and Ping Y 2017 J. Chem. Phys. 146 104109

    Google Scholar 

  31. Sun R 2013 Doctoral dissertation (Massachusetts Institute of Technology)

  32. Kane E 1966 in Semiconductors and semimetals R Willardson and A C Beer (eds) vol 1 (Amsterdam: Elsevier) p 75

  33. Sipahi G M, Enderlein R, Scolfaro L M R, Leite J R, da Silva E C F and Levine A 1998 Phys. Rev. B 57 9168

    CAS  Google Scholar 

  34. Enderlein R and Horing N J 1997 Fundamentals of semiconductor physics and devices (Singapore: World Scientific)

  35. Willatzen M and Voon L C L Y 2009 The k\(\cdot \)p method (Berlin: Springer)

  36. Enderlein R, Sipahi G M, Scolfaro L M and Leite J R 1998 Phys. Status Solidi B 206 623

    CAS  Google Scholar 

  37. Dugdale D J, Brand S and Abram R A 2000 Phys. Rev. B 61 12933

    CAS  Google Scholar 

  38. Ramos L E, Teles L K, Scolfaro L M R, Castineira J L P, Rosa A L and Leite J R 2001 Phys. Rev. B 63 165210

    Google Scholar 

  39. Vilhena J G and Marques M A L 2014 unpublished

  40. Perdew J P, Burke K and Ernzerhof M 1996 Phys. Rev. Lett. 77 3865

    CAS  Google Scholar 

  41. Marques M A L, Oliveira M J T and Burnus T 2012 Comput. Phys. Commun. 183 2272

    CAS  Google Scholar 

  42. Sundararaman R, Letchworth-Weaver K, Schwarz K A, Gunceler D, Ozhabes Y and Arias T A 2017 SoftwareX 6 278

    Google Scholar 

  43. Hamann D R 2013 Phys. Rev. B 88 085117

    Google Scholar 

  44. van Setten M J, Giantomassi M, Bousquet E, Verstraete M J, Hamann D R, Gonze X et al 2018 Comput. Phys. Commun. 226 39

    Google Scholar 

  45. Monkhorst H J and Pack J D 1976 Phys. Rev. B 13 5188

    Google Scholar 

  46. Pack J D and Monkhorst H J 1977 Phys. Rev. B 16 1748

    Google Scholar 

  47. Liu D C and Nocedal J 1989 Math. Programm. 45 503

    Google Scholar 

  48. Agrawal B K, Yadav P S, Kumar S and Agrawal S 1995-I Phys. Rev. B 52 4896

  49. Min B I, Massidda S and Freeman A J 1988 Phys. Rev. B 38 1970

  50. Staroverov V N, Scuseria G E, Tao J and Perdew J P 2004 Phys. Rev. B 69 075102

    Google Scholar 

  51. Kalvoda S, Paulus B, Fulde P and Stoll H 1997 Phys. Rev. B 55 4027

  52. Vurgaftman I, Meyer J R and Ram-Mohan L R 2001 J. Appl. Phys. 89 5815

    CAS  Google Scholar 

  53. Filippi C, Singh D J and Umrigar C J 1994 Phys. Rev. B 50 14947

  54. Ali M A, Khan N, Ahmad F, Ali A and Ayaz M 2019 Bull. Mater. Sci. 42 36

    Google Scholar 

  55. Yu P Y and Cardona M 2010 Fundamentals of semiconductors: physics and materials properties (New York: Springer)

    Google Scholar 

  56. Luttinger J M and Kohn W 1955 Phys. Rev. 97 869

    CAS  Google Scholar 

  57. Gmitra M and Fabian J 2016 Phys. Rev. B 94 165202

    Google Scholar 

  58. Bastos C M, Sabino F P, Junior P E, Campos T, Da Silva J L and Sipahi G M 2016 Semicond. Sci. Technol. 31 105002

    Google Scholar 

  59. Bastos C M, Sabino F P, Sipahi G M and Da Silva J L 2018 J. Appl. Phys. 123 065702

    Google Scholar 

  60. Roth L M, Lax B and Zwerdling S 1959 Phys. Rev. 114 90

    CAS  Google Scholar 

  61. Madelung O 2004 Semiconductors: data handbook (Berlin: Springer)

    Google Scholar 

Download references

Acknowledgement

This work was supported by the National Science Foundation of China under Grant No. 11674223.

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Correspondence to WAQAS MAHMOOD.

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MAHMOOD, W., DONG, B. Application of k \(\cdot \) p method on band structure of GaAs obtained through joint density-functional theory. Bull Mater Sci 43, 235 (2020). https://doi.org/10.1007/s12034-020-02204-5

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