Electron states near graphene edge

被引:5
|
作者
Volkov, V. A. [1 ]
Zagorodnev, I. V. [1 ]
机构
[1] Russian Acad Sci, VA Kotelnikov Inst Radio Engn & Elect, Moscow 125009, Russia
关键词
BOUNDARY-CONDITIONS; CARBON NANOTUBES; TRANSPORT; SYMMETRY;
D O I
10.1088/1742-6596/193/1/012113
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
The band structure of graphene near the Fermi surface is often well described by the effective mass approximation. In this approach electron wave function obeys the Dirac-type equation. To describe a number of effects it is necessary to supplement the equation with boundary conditions. Using the Hemiticity and the time reversal symmetry we derive the phenomenological boundary conditions for a multicomponent effective wave function. The boundary conditions in the case of smooth crystalline potential near the edge are parameterized in terms of a real phenomenological constant that describes a general type edge. The edge states spectra (i.e. Tamm states spectra) for semi-infinite graphene are analyzed.
引用
收藏
页数:4
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