Zero energy states for a class of two-dimensional potentials in graphene

被引：8
作者：
Ioffe, M. V. [1 ]
Nishnianidze, D. N. [2 ]
机构：
[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
[2] Akaki Tsereteli State Univ, Kutaisi 4600, Georgia
来源：
MODERN PHYSICS LETTERS B | 2018年 / 32卷 / 27期
关键词：
Two-dimensional Dirac equation; Schrodinger equation; separation of variables; graphene; DIRAC FERMIONS;
D O I：
10.1142/S0217984918503293
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
The excitations in graphene and some other materials are described by two-dimensional massless Dirac equation with applied external potential of some kind. Solutions of this zero energy equation are built analytically for a wide class of scalar potentials. In contrast to most publications on analytical solutions of massless two-dimensional Dirac equation, our potentials really depend on both spatial coordinates in some bounded domain. Several examples of such construction are given explicitly.
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页数：7
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