Dirac electron in graphene with magnetic fields arising from first-order intertwining operators

被引：34

作者：

Castillo-Celeita, M. ^{[1
]}

Fernandez C, D. J. ^{[1
]}

机构：

[1] CINVESTAV, Dept Phys, POB 14-740, Mexico City 07000, DF, Mexico

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2020年 / 53卷 / 03期

关键词：

graphene; supersymmetry; Dirac electron; harmonic oscillator; QUANTUM; FERMIONS; EQUATION; CARBON; PHASE;

D O I：

10.1088/1751-8121/ab3f40

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The behavior of a Dirac electron in graphene, under magnetic fields which are orthogonal to the layer, is studied. The initial problem is reduced to an equivalent one, wherein two one-dimensional Schrodinger Hamiltonians are intertwined by a first-order differential operator. Special magnetic fields are initially chosen, in order that will be shape-invariant, exactly solvable potentials. When looking for more general first-order operators intertwining H- with a not-necessarily shape-invariant Hamiltonian, new magnetic fields associated also with analytic solutions will be generated. The iteration of this procedure is also discussed.

引用

页数：16

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