Trapped modes in zigzag graphene nanoribbons

被引：0
作者：
V. A. Kozlov
S. A. Nazarov
A. Orlof
机构：
[1] MAI,Mathematics and Applied Mathematics
[2] Linköping University,undefined
[3] Saint-Petersburg State University,undefined
[4] Peter the Great St. Petersburg Polytechnic University,undefined
[5] Institute of Problems of Mechanical Engineering RAS,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik | 2017年 / 68卷
关键词：
35P30; 47A10; 47A40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the scattering on an ultra-low potential in zigzag graphene nanoribbon. Using a mathematical framework based on the continuous Dirac model and the augmented scattering matrix, we derive a condition for the existence of a trapped mode. We consider the threshold energies where the continuous spectrum changes its multiplicity and show that the trapped modes may appear for energies slightly less than a threshold and that its multiplicity does not exceeds one. We prove that trapped modes do not appear outside the threshold, provided the potential is sufficiently small.
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