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

来源：

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS | 2012年 / 115卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Quantum theory;

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

页码：694 / 705

页数：12

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