Carbon nanotubes in an inhomogeneous transverse magnetic field: exactly solvable model - INSPIRE

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Carbon nanotubes in an inhomogeneous transverse magnetic field: exactly solvable model

Vit Jakubsky
(
- Rez, Nucl. Phys. Inst.
)
,
Sengul Kuru
(
- Ankara U.
)
,
Javier Negro
(
- Valladolid U.
)

Jun 10, 2013

17 pages

Published in:

J.Phys.A 47 (2014) 115307

Published: Mar 3, 2014

e-Print:

1306.2115 [cond-mat.mes-hall]

DOI:

10.1088/1751-8113/47/11/115307

View in:

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Abstract: (IOP)

A class of exactly solvable models describing carbon nanotubes in the presence of an external inhomogeneous magnetic field is considered. The framework of the continuum approximation is employed, where the motion of the charge carriers is governed by the Dirac–Weyl equation. The explicit solution of a particular example is provided. It is shown that these models possess nontrivial integrals of motion that establish N = 2 nonlinear supersymmetry in case of metallic and maximally semiconducting nanotubes. Remarkable stability of energy levels with respect to small fluctuations of longitudinal momentum is demonstrated.

Note:

17 pages, 6 figures, misprints corrected, references added

73.63.b
75.70.Ak
71.15.-m
carbon nanotubes
Dirac equation
magnetic field
finite-gap systems
magnetic field: transverse
magnetic field: external field
potential: vector

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Figures(4)

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