Next Nearest Neighbors Effects on Berry Curvature of Graphene

• Authors: T. Farajollahpour , A. Rezvani , M. Khodarahmi , M. Arasteh
• Languages of publication: EN

Abstracts

EN

In this paper energy bands and Berry curvature of graphene was studied. Desired Hamiltonian regarding the next-nearest neighbors was obtained by tight-binding model. By using the second quantization approach, the transformation matrix is calculated and the Hamiltonian of system is diagonalized. With this Hamiltonian, the band structure and wave function can be calculated. By using calculated wave function the Berry connection and Berry curvature of our system are calculated. Our results are exactly consistent with previous methods and also the Berry curvature throughout the Brillouin zone get zero.

Keywords

EN

73.22.Pr; 81.05.ue

Discipline

• 73.22.Pr: Electronic structure of graphene
• 81.05.ue: Graphene(for structure of graphene, see 61.48.Gh; for phonons in graphene, see 63.22.Rc; for thermal properties, see 65.80.Ck; for graphene films, see 68.65.Pq; for electronic transport, see 72.80.Vp; for electronic structure, see 73.22.Pr; for optical properties, see 78.67.Wj)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 1
• Pages: 180-183

Dates

published

2012-07

received

2011-11-01

(unknown)

2012-01-11

Contributors

author

T. Farajollahpour

• Department of Physics, Faculty of Science, P.O. Box 16575-347, I.H.U Tehran, Iran

author

A. Rezvani

• Department of Physics, Faculty of Science, P.O. Box 16575-347, I.H.U Tehran, Iran

author

M. Khodarahmi

• Department of Physics, Faculty of Science, P.O. Box 16575-347, I.H.U Tehran, Iran

author

M. Arasteh

• Department of Physics, Faculty of Science, P.O. Box 16575-347, I.H.U Tehran, Iran

References

• 1. K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Grigorieva, A.A. Firsov, Science 306, 666 (2004)
• 2. K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, M.I. Katsnelson, I.V. Grigorieva, S.V. Dubonos, A.A. Firsov, Nature (London) 438, 197 (2005)
• 3. D.S.L. Abergel, A. Russell, V.I. Fal'ko, Appl. Phys. Lett. 91, 063125 (2007)
• 4. A.K. Geim, K.S. Novoselov, Nature Mater. 6, 183 (2007)
• 5. T.W. Odom, J.L. Huang, P. Kim, C.M. Lieber, J. Phys. Chem. B 104, 2794 (2000)
• 6. S. Reich, J. Maultzsch, C. Thomsen, P. Ordejon, Phys. Rev. B 66, 035412 (2002)
• 7. V.N. Popov, L. Henrard, Phys. Rev. B 70, 115407 (2004)
• 8. B. Partoens, F.M. Peeters, Phys. Rev. B 74, 075404 (2006)
• 9. B. Partoens, F.M. Peeters, Phys. Rev. B 75, 193402 (2007)
• 10. P.R. Wallace, Phys. Rev. 71, 622 (1947)
• 11. R. Saito, G. Dresselhaus, M.S. Dresselhaus, Physical Properties of Carbon Nanotubes, Imperial, London 1998, p. 26
• 12. M.V. Berry, Proc. R. Soc. Lond. A 392, 45 (1984)
• 13. A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009)
• 14. D. Xiao, M. Chang, Q. Niu, Rev. Mod. Phys. 82, 1959 (2010)
• 15. Y. Zhang, Y.-W. Tan, H.L. Stormer, P. Kim, Nature 438, 201 (2005)
• 16. M. Mecklenburg, B.C. Regan, Phys. Rev. Lett. 106, 116803 (2011)
• 17. G.W. Semenoff, Phys. Rev. Lett. 53, 2449 (1984)
• 18. D. Xiao, W. Yao, Q. Niu, Phys. Rev. Lett. 99, 236809 (2007)
• 19. S.Y. Zhou, G.-H. Gweon, A.V. Fedorov, P.N. First, W.A. de Heer, D.-H. Lee, F. Guinea, A.H.C. Neto, A. Lanzara, Nature Mater. 6, 770 (2007)

Identifiers

DOI

10.12693/APhysPolA.122.180