Coupling of two Dirac particles

被引：29
作者：
Berman, Oleg L. [1 ,2 ]
Kezerashvili, Roman Ya. [1 ,2 ]
Ziegler, Klaus [3 ]
机构：
[1] CUNY, Dept Phys, New York City Coll Technol, Brooklyn, NY 11201 USA
[2] CUNY Grad Sch & Univ Ctr, New York, NY 10016 USA
[3] Univ Augsburg, Inst Phys, D-86135 Augsburg, Germany
来源：
PHYSICAL REVIEW A | 2013年 / 87卷 / 04期
关键词：
FIELD; GRAPHENE; CARBON; MASS;
D O I：
10.1103/PhysRevA.87.042513
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A study of the formation of excitons as a problem of two Dirac particles in a gapped graphene layer and in two gapped graphene layers separated by a dielectric is presented. In the low-energy limit the separation of the center-of-mass and relative motions is obtained. Analytical solutions for the wave function and energy dispersion for both cases when the electron and the hole interact via a Coulomb potential are found. It is shown that the energy spectrum and the effective exciton mass are functions of the energy gaps as well as of the interlayer separation in the case of two-layer gapped graphene. DOI: 10.1103/PhysRevA.87.042513
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页数：9
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