Tight- binding study of electronic band structure of anisotropic honeycomb lattice
الموضوعات : فصلنامه نانوساختارهای اپتوالکترونیکیmaryam Hojatifar 1 , Peyman Sahebsara 2
1 - Department of Physics, Isfahan University of Technology, Isfahan, Iran
2 - Department of Physics, Isfahan University of Technology, Isfahan, Iran
الکلمات المفتاحية: Graphene, electronic nanostructure, electrochemical pressure, tight-binding method, energy gap band,
ملخص المقالة :
The two-dimensional structure of graphene, consisting of an isotropic hexagonal lattice of carbon atoms, shows fascinating electronic properties, such as a gapless energy band and Dirac fermion behavior of electrons at fermi surface. Anisotropy can be induced in this structure by electrochemical pressure. In this article, by using tight-binding method, we review anisotropy effects in the electronic nanostructure of graphene in one direction. For this purpose, we just consider π states, which express electronic characteristics, and compare electronic band of π states with that of isotropic honeycomb lattice in graphene. As a result, by applying pressure or stretching in one direction, the gap will be created in the electronic band at the fermion surface, which can be useful for semiconducting nano devices. The isotropic graphene has a band structure with no energy gap. By applying electrochemical pressure in one direction, the translational symmetry can be broken, therefore an energy gap appears between the two bands.
[1] H. Min, J. E. Hill, N. A. Sinitsyn, B. R. Sahu, L. Kleinman, and A. H. MacDonald, Intrinsic and Rashba spin-orbit interactions in graphene sheets. Physical Review B, 74.16, (2006): 165310.
[2] K. Novoselov, S. Andre, K. Geim, Sergei V. Morozov, D. Jiang, Y. Zhang, Sergey V. Dubonos, Irina V. Grigorieva, and Alexandr A. Firsov, Electric field effect in atomically thin carbon films. Science 306. 5696, (2004): 666-669.
[3] P. Dietl, Numerical studies of electronic transport through Graphene nanoribbons with disorder. Karlsuhe Institute of Technology (2009).
[4] http://nobelprize.org/nobel_prizes/physics/laureates/ (2010).
[5] K. Wakabayashi, Y. Takane, M. Yamamoto, & M. Sigrist, Electronic transport properties of graphene nanoribbons. New Journal of Physics, 11(9), (2009): 095016.
[6] G. Grosso, and G. P. Parravicini, Solid State Physics ACADEMIC PRESS (2000).
[7] B. Gharekhanlou, and S. Khorasani, An overview of tight-binding method for two-dimensional carbon structures. Graphene: Properties, Synthesis and Application 1-37 (2011).
[8] W. Ashley Harrison, Electronic Structure and the Properties of Solids. Dover Publications. ISBN 0-486-66021-4, (1989).
[9] RM. Martin, Electronic Structure: Basic Theory and Practice Methods, Cambridge University Press, (2004).
[10] W. Guangquan, Strongly Correlated phases in the anisotropic honeycomb lattice, Diss. (2012).
[11] S. Reich, J. Maultzsch, C. Thomsen, & P. Ordejon, Tight-binding description of graphene. Physical Review B, 66(3), (2002): 035412.
[12] M. Roy, and P. A. Maksym, Semiconducting carbon nanotube quantum dots: Calculation of the interacting electron states by exact diagonalisation. EPL(EurophysicsLetters), 86(3), (2009): 37001.
[13] V. P. Gusynin, S. G. Sharapov, and J. P. Carbotte, AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics. International Journal of Modern PhysicsB 21.27, (2007): 4611-4658.
[14] H. Bruus, F. Karsten, Many-body quantum theory in condensed matter physic, Published by Oxford GraduateTexts, (2004).
[15] N. A. Pike, and D. Stroud, Tight-binding model for adatoms on graphene: Analytical density of states, spectral function, and induced magnetic moment. Physical Review B, 89(11), (2014): 115428.
