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arXiv 1002.3862cond-mat.mes-hallcond-mat.dis-nn
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带非对称环形势阱单层石墨烯中的电子散射

Electrons scattering in the monolayer graphene with a band-asymmetric annular potential well

Natalie E. Firsova, Sergey A. Ktitorov

摘要:

用带非对称势的环形势阱模型研究了含短程杂质的单层石墨烯中的电子散射。在狄拉克方程中,势的带不对称性导致了质量(带隙)扰动。导出了散射矩阵的精确显式公式。结果提出的散射相位和一些2-向量之间的关系的几何形式。得到了特征方程。它具有正交条件的一种形式。概述了根据散射理论结果对观测量的近似计算。

英文摘要:

Electron scattering in the monolayer graphene with short-range impurities modelled by the annular well with a band-asymmetric potential has been considered. Band-asymmetry of the potential resulted in the mass (gap) perturbation in the Dirac equation. Exact explicit formulae for the scattering matrix have been derived. The results are presented in terms of the scattering phases and in the geometrical form of a relation between some 2-vectors. The characteristic equation is obtained. It has a form of the orthogonality condition. An approximate calculation of observables in terms the scattering theory results is outlined.

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