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Tight-Binding Wavefunction and Chiralarity of Graphene Ribbons

Author: WangShuHeng
Tutor: ZhouGuangHui
School: Hunan Normal University
Course: Theoretical Physics
Keywords: Graphene nano- strips Tight-binding approximation Dispersion relation Electron wave function
CLC: TB383.1
Type: Master's thesis
Year: 2011
Downloads: 109
Quote: 0
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Abstract


The Ishiguro ene (graphcnc) is a single-sided, single-layer honeycomb structure of carbon atoms in the crystal, its special geometry and physical properties has become one of the hotspots of the condensed matter and materials research, based on the orbital hybridization of the carbon atoms, people have found carbon C60, carbon nanotubes and graphene carbon isomers. graphene set carbon nanotubes and molecular electronic devices and other functions in one, with many excellent and unique physical, chemical and mechanical properties, has attracted wide attention. graphene nano-strip focus in the area of ??graphene research, to discuss this article with the electronic structure of graphene nano-strips and the corresponding chiral properties. carbon atoms sp2 hybrid orbital principle explains the graphene honeycomb like structure formation, on this basis, from the tight-binding approximation, the calculated dispersion relation associated with discrete wave vectors kn and km, and then substituted into the boundary conditions of different edge shape graphene nano-strips, obtained armrest Chair (Armchair) and anti-armchair (Anti-Armchair) type edge graphene nano-strip dispersion relation on the basis of the dispersion relation calculated the armchair the stone fruit ene nanobars with an analytic form of the electron wave function, and a rough calculation of the electron wave function zigzag graphene nano-strips expression, Finally, we summarized the characteristics of two different graphene nano-strips chiral text is divided into five chapters. The first chapter briefly introduces the graphene crystals and bands of graphene nano research history and the second carbon atoms sp2 orbital hybridization theory to explain the formation mechanism of the of the the stone fruit ene honeycomb structure, a brief introduction to the experimental preparation of graphene and its application to the third chapter, the departure from the tight-binding approximation to calculate the infinite graphene plane the crystal dispersion relation and electron wave functions, and describes some singular physical properties of graphene, the fourth chapter we discuss graphene nano-strip edge morphology classification, the dispersion relation and the boundary conditions into the stone fruit ene and electronic wave function to calculate the armchair and zigzag the stone fruit ene nano strip the dispersion relation and the parsing of the electron wave function form, and summarized the chiral properties of both graphene nano-strips Chapter of this work and characteristics are summarized and induction gave a brief outlook on the prospects for the development of this field of research.

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