Quantum mechanics of graphene with a one-dimensional potential

被引:9
|
作者
Miserev, D. S. [1 ,2 ]
Entin, M. V. [2 ]
机构
[1] Novosibirsk State Univ, Novosibirsk 630090, Russia
[2] Russian Acad Sci, Inst Semicond Phys, Siberian Branch, Novosibirsk 630090, Russia
基金
俄罗斯基础研究基金会;
关键词
Theoretical Physic; Transverse Momentum; Transmission Coefficient; Discrete Spectrum; High Electron Mobility Transistor;
D O I
10.1134/S1063776112090087
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Electron states in graphene with a one-dimensional potential have been studied. An approximate solution has been obtained for a small angle between vectors of the incident electron momentum and potential gradient. Exactly solvable problems with a potential of the smoothened step type U(x) = Utanh(x/a) and a potential with a singularity U(x) = -U/(|x| + d) are considered. The transmission/reflection coefficients and phases for various potential barriers are determined. A quasi-classical solution is obtained.
引用
收藏
页码:694 / 705
页数:12
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