Skip to main content

Quantum Mechanical Simulation of Electron Dynamics on Surfaces of Materials

  • Chapter
  • First Online:
Computational Materials, Chemistry, and Biochemistry: From Bold Initiatives to the Last Mile

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 284))

Abstract

Understanding the electronic dynamics on surfaces of materials is fundamentally important for applications including nanoelectronics, inhomogeneous catalysis, and photovoltaics. Time-dependent density-functional theory (TDDFT) has been successfully applied to predict excited-state properties of isolated and periodic systems. However, it cannot address a system coupled to an environment or whose number of electrons is not conserved. To tackle these problems, TDDFT needs to be extended to accommodate open systems. This chapter provides a comprehensive account of TDDFT for open systems (TDDFT-OS), including both theoretical and practical aspects. The practicality and accuracy of TDDFT-OS method are demonstrated with two numerical examples: the time-dependent electron transport through a series of quasi-one-dimensional atomic chains and the real-time electronic dynamics on a two-dimensional graphene surface.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. A. Hagfeldt, M. Grätzel, Acc. Chem. Res. 33, 269 (2000)

    Google Scholar 

  2. O’Regan, M. Grätzel, Nature (London) 353, 737 (1991)

    Google Scholar 

  3. G. Lietal, Energy Environ. Sci. 2, 230 (2009)

    Google Scholar 

  4. E. Runge, E.K.U. Gross, Phys. Rev. Lett. 52, 997 (1984)

    Article  CAS  Google Scholar 

  5. K. Burke, J. Werschnik, E.K.U. Gross, J. Chem. Phys. 123, 062206 (2005)

    Article  Google Scholar 

  6. M.K. Casida, J. Mol. Struct.: THEOCHEM 914, 3 (2009)

    Article  CAS  Google Scholar 

  7. R.E. Stratmann, G.E. Scuseria, M.J. Frisch, J. Chem. Phys. 109, 8218 (1998)

    Article  CAS  Google Scholar 

  8. R. van Leeuwen, Phys. Rev. Lett. 82, 3863 (1999)

    Article  Google Scholar 

  9. R. van Leeuwen, in Time-Dependent Density Functional Theory, ed. by M.A.L. Marques, C.A. Ullrich, F. Nogueira, A. Rubio, K. Burke, E.K.U. Gross, Lecture Notes in Physics, vol. 706 (Springer, Berlin, 2006), pp. 17–32

    Google Scholar 

  10. F. Kootstra, Ph.D. Thesis, University of Groningen (2001)

    Google Scholar 

  11. N.T. Maitra, I. Souza, K. Burke, Phys. Rev. B 68, 045109 (2003)

    Article  Google Scholar 

  12. R. Baer, J. Chem. Phys. 128, 044103 (2008)

    Article  Google Scholar 

  13. Y. Li, C.A. Ullrich, J. Chem. Phys. 129, 044105 (2008)

    Article  Google Scholar 

  14. C. Verdozzi, Phys. Rev. Lett. 101, 166401 (2008)

    Article  Google Scholar 

  15. Fundamentals of Time-Dependent Density Functional Theory, ed. by M.A.L. Marques, N.T. Maitra, F.M.S. Nogueira, E.K.U. Gross, A. Rubio, Lecture Notes in Physics, vol. 837 (Springer, Berlin, 2012)

    Google Scholar 

  16. X. Zheng, R. Wang, Sci. China Chem. 57, 1 (2014)

    Google Scholar 

  17. W. Kohn, L.J. Sham, Phys. Rev. 140, A1133–A1138 (1965)

    Article  Google Scholar 

  18. X. Zheng, F. Wang, C.Y. Yam, Y. Mo, G.H. Chen, Phys. Rev. B 75, 195127 (2007)

    Article  Google Scholar 

  19. G. Stefanucci, C.O. Almbladh, Europhys. Lett. 67, 14–20 (2004)

    Article  CAS  Google Scholar 

  20. M. Di Ventra, T.N. Todorov, J. Phys. Condens. Matter 16, 8025–8034 (2004)

    Article  Google Scholar 

  21. X. Zheng, G.H. Chen, arXiv:physics/0502021

  22. X. Zheng, C.Y. Yam, F. Wang, G.H. Chen, Phys. Chem. Chem. Phys. 13, 14358–14364 (2011)

    Article  CAS  Google Scholar 

  23. J. Yuen-Zhou, D.G. Tempel, C.A. Rodríguez-Rosario, A. Aspuru-Guzik, Phys. Rev. Lett. 104, 043001 (2010)

    Article  Google Scholar 

  24. D.G. Tempel, M.A. Watson, R. Olivares-Amaya, A. Aspuru-Guzik, J. Chem. Phys. 134, 074116 (2011)

    Article  Google Scholar 

  25. J. Riess, W. Münch, Theor. Chim. Acta. 58, 295–300 (1981)

    Article  CAS  Google Scholar 

  26. P.G. Mezey, Mol. Phys. 96, 169–178 (1999)

    Article  CAS  Google Scholar 

  27. S. Fournais, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, T.O. Sorensen, Commun. Math. Phys. 228, 401–415 (2002)

    Article  Google Scholar 

  28. S. Fournais, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, T.O. Sorensen, Ark. Mat. 42, 87–106 (2004)

    Article  Google Scholar 

  29. T. Jecko, Lett. Math. Phys. 93, 73–83 (2010)

    Article  CAS  Google Scholar 

  30. K. Burke, R. Car, R. Gebauer, Phys. Rev. Lett. 94, 146803 (2005)

    Article  Google Scholar 

  31. J. Yuen-Zhou, C. Rodriguez-Rosario, A. Aspuru-Guzik, Phys. Chem. Chem. Phys. 11, 4509–4522 (2009)

    Article  CAS  Google Scholar 

  32. C.Y. Yam, S. Yokojima, G.H. Chen, Phys. Rev. B 68, 153105 (2003)

    Article  Google Scholar 

  33. C.Y. Yam, S. Yokojima, G.H. Chen, J. Chem. Phys. 119, 8794–8803 (2003)

    Article  CAS  Google Scholar 

  34. M.E. Casida, Recent Developments and Applications in Density Functional Theory (Elsevier, Amsterdam, 1996)

    Google Scholar 

  35. A. Castro, H. Appel, M. Oliveira, C.A. Rozzi, X. Andrade, F. Lorenzen, M.A.L. Marques, E.K.U. Gross, A. Rubio, Phys. Stat. Sol. B 243, 2465–2488 (2006)

    Article  CAS  Google Scholar 

  36. S. Kurth, G. Stefanucci, C.O. Almbladh, A. Rubio, E.K.U. Gross, Phys. Rev. B 72, 035308 (2005)

    Google Scholar 

  37. Y. Zhu, J. Maciejko, T. Ji, H. Guo, J. Wang, Phys. Rev. B 71, 075317 (2005)

    Article  Google Scholar 

  38. X.Q. Li, Y.J. Yan, Phys. Rev. B 75, 075114 (2007)

    Article  Google Scholar 

  39. P. Cui, X.Q. Li, J.S. Shao, Y.J. Yan, Phys. Lett. A 357, 449 (2006)

    Article  CAS  Google Scholar 

  40. S. Chen, H. Xie, Y. Zhang, X. Cui, G. Chen, Nanoscale 5, 169 (2013)

    Article  CAS  Google Scholar 

  41. J.S. Jin, X. Zheng, Y.J. Yan, J. Chem. Phys. 128, 234703 (2008)

    Article  Google Scholar 

  42. X. Zheng, R.X. Xu, J. Xu, J.S. Jin, J. Hu, Y.J. Yan, Prog. Chem. 24, 1129–1152 (2012)

    CAS  Google Scholar 

  43. X. Zheng, J.S. Jin, Y.J. Yan, J. Chem. Phys. 129, 184112 (2008)

    Article  Google Scholar 

  44. X. Zheng, J.S. Jin, Y.J. Yan, New J. Phys. 10, 093016 (2008)

    Article  Google Scholar 

  45. X. Zheng, J.Y. Luo, J.S. Jin, Y.J. Yan, J. Chem. Phys. 130, 124508 (2009)

    Article  Google Scholar 

  46. Z.H. Li, N.H. Tong, X. Zheng, D. Hou, J.H. Wei, J. Hu, Y.J. Yan, Phys. Rev. Lett. 109, 266403 (2012)

    Article  Google Scholar 

  47. X. Zheng, Y.J. Yan, M. Di Ventra, Phys. Rev. Lett. 111, 086601 (2013)

    Article  Google Scholar 

  48. S. Wang, X. Zheng, J.S. Jin, Y.J. Yan, Phys. Rev. B 88, 035129 (2013)

    Article  Google Scholar 

  49. X. Zheng et al., J. Chem. Phys. 133, 114101 (2010)

    Article  Google Scholar 

  50. H. Xie et al., J. Chem. Phys. 137, 044113 (2012)

    Article  Google Scholar 

  51. H. Tian, G.H. Chen, J. Chem. Phys. 137, 204114 (2012)

    Article  Google Scholar 

  52. Y. Zhang, S.G. Chen, G.H. Chen, Phys. Rev. B 87, 085110 (2013)

    Article  Google Scholar 

  53. X. Zheng, J.S. Jin, S. Welack, M. Luo, Y.J. Yan, J. Chem. Phys. 130, 164708 (2009)

    Article  Google Scholar 

  54. A. Croy, U. Saalmann, Phys. Rev. B 80, 073102 (2009)

    Article  Google Scholar 

  55. T. Ozaki, Phys. Rev. B 75, 035123 (2007)

    Article  Google Scholar 

  56. J. Hu, R.X. Xu, Y.J. Yan, J. Chem. Phys. 133, 101106 (2010)

    Article  Google Scholar 

  57. J. Hu, M. Luo, F. Jiang, R.X. Xu, Y.J. Yan, J. Chem. Phys. 134, 244106 (2011)

    Article  Google Scholar 

  58. R.L. Wang, X. Zheng, Y.H. Kwok, H. Xie, G.H. Chen, C.Y. Yam, J. Chem. Phys. 142, 144112 (2005)

    Article  Google Scholar 

  59. T. Gonzalez-Lezana, E.J. Rackham, D.E. Manolopoulos, J. Chem. Phys. 120, 2247 (2004)

    Article  CAS  Google Scholar 

  60. H. Xie, Y. Kwok, F. Jiang, X, Zheng, G.H. Chen, J. Chem. Phys. 141, 164122 (2014)

    Google Scholar 

  61. Y.H. Kwok, H. Xie, C.Y. Yam, X. Zheng, G.H. Chen, J. Chem. Phys. 139, 224111 (2013)

    Article  Google Scholar 

  62. J.S. Toll, Phys. Rev. 104, 1760 (1956)

    Article  Google Scholar 

  63. M.P.L. Sancho, J.M.L. Sancho, J.M.L. Sancho, J. Rubio, J. Phys. F:Met. Phys. 15, 851 (1985)

    Article  Google Scholar 

  64. Z. Guo, W. Liang, Y. Zhao, G.H. Chen, J. Phys. Chem. C 112, 16655 (2008)

    Article  CAS  Google Scholar 

  65. W.R. Duncan, C.F. Craig, O.V. Prezhdo, J. Am. Chem. Soc. 129, 8528 (2007)

    Article  CAS  Google Scholar 

  66. S. Meng, J. Ren, E. Kaxiras, Nano Lett. 8, 3266 (2008)

    Article  CAS  Google Scholar 

  67. X. Zheng, S.H. Ke, W. Yang, J. Chem. Phys. 132, 114703 (2010)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiao Zheng .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Cui, L., Wang, R., Yam, C., Chen, G., Zheng, X. (2021). Quantum Mechanical Simulation of Electron Dynamics on Surfaces of Materials. In: Shankar, S., Muller, R., Dunning, T., Chen, G.H. (eds) Computational Materials, Chemistry, and Biochemistry: From Bold Initiatives to the Last Mile. Springer Series in Materials Science, vol 284. Springer, Cham. https://doi.org/10.1007/978-3-030-18778-1_7

Download citation

Publish with us

Policies and ethics