| Quantum chaos approach for studying the effect of impurity and external electric field on zigzag graphene nanoribbons |
| Paper ID : 1090-UFGNSM-FULL |
| Authors: |
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Sohrab Behnia *1, Fatemeh Rahimi2, Javid Ziaei2 1Iran- West Azerbaijan- Urmia- Band road- Urmia University of Technology 2Urmia University of Technology |
| Abstract: |
| Graphene, the first isolated two-dimensional crystalline material, has recently attracted significant attention due to its extraordinary electrical, optical, mechanical, magnetic and thermal properties. Graphenen anoribbons (GNRs), in turn, are a kind of quasi-one-dimensional graphene strips with nanometer width. They have the potential to be used for building blocks for future high-performance carbon-based nanoelectronics and spintronics devices. We try to study the quantum transport of zigzag graphene nanoribbons (ZGNRs) based on nearest neighbor tight-binding (TB) Hamiltonian . Until now different methods such as Green Function have been developed to study quantum transport in these systems. In these methods, a series of approximations and simplifications is used. These simplifications reduce our understanding of phenomena. The mentioned problem could be improved by studying through quantum chaos methods. Due to the random nature of on-site energy, we have focused on the energy-level statistics. The statistical properties of such Hamiltonians are manifested by the fluctuations of the quantum scattering matrix, well defined by random matrix theory. The generated random matrix provides the possibility to use the quantum chaos theory. In this work we have focused on critical behaviors such as localization–delocalization transition and vice versa. We investigate the effect of impurities and applied electric field on the transition. Local defects impurities such as doping with substitutional foreign atoms are a well-documented way to tune the electronic properties of graphene. Nitrogen is a natural substitute for carbon in the honeycomb structure. The obtained results show that the addition of impurities has a key role on such behaviors, such that we can see these transitions in the presence of very low percentage of impurity. If the electric field associated with the impurity, it can cause the transition. Then the applied electric field can not be alone appropriate for the transition. |
| Keywords: |
| Quantum chaos - Zigzag graphene nanoribbon - Impurity - External electric field - Localization - Delocalization |
| Status : Paper Accepted (Oral Presentation) |
