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Electron properties of Carbon nanotubes in a transverse magnetic field are studied using a model of a massless Dirac particle on a cylinder. The problem possesses supersymmetry which protects low energy states and ensures stability of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. -W. Lee , Dmitry S. Novikov

Carbon nanotubes are modeled as point particle configurations in the framework of Molecular Mechanics, where interactions are described by means of short range attractive-repulsive potentials. The identification of local energy minimizers…

Mesoscale and Nanoscale Physics · Physics 2019-09-27 Manuel Friedrich , Edoardo Mainini , Paolo Piovano

We study theoretically the electron transport properties in carbon nanotubes under the influence of an external electric field E(t) using Boltzmann's equation. The current-density equation is derived. Negative differential conductivity is…

Mesoscale and Nanoscale Physics · Physics 2011-01-31 S. S. Abukari , S. Y. Mensah N. G. Mensah , K. W. Adu , K. A. Dompreh , A. K. Twum

We show that a one-dimensional topological superconductor can be realized in carbon nanotubes, using a relatively small magnetic field. Our analysis relies on the intrinsic curvature-enhanced spin-orbit coupling of the nanotubes, as well as…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Omri Lesser , Gal Shavit , Yuval Oreg

We derive an effective low-energy theory for metallic (armchair and non-armchair) single-wall nanotubes in the presence of an electric field perpendicular to the nanotube axis, and in the presence of magnetic fields, taking into account…

Mesoscale and Nanoscale Physics · Physics 2011-11-15 Jelena Klinovaja , Manuel J. Schmidt , Bernd Braunecker , Daniel Loss

Carbon nanotubes are modeled as point configurations and investigated by minimizing configurational energies including two-and three-body interactions. Optimal configurations are identified with local minima and their fine geometry is fully…

Analysis of PDEs · Mathematics 2018-08-15 Manuel Friedrich , Edoardo Mainini , Paolo Piovano , Ulisse Stefanelli

In this paper heat transport in carbon nanotubes is investigated. When the dimension of the structure is of the order of the de Broglie wave length transport phenomena must be analysed by quantum mechanics. In this paper we derived the…

Other Condensed Matter · Physics 2007-05-23 Miroslaw Kozlowski , Janina Marciak-Kozlowska

We present first-principles calculations of quantum transport which show that the resistance of metallic carbon nanotubes can be changed dramatically with homogeneous transverse electric fields if the nanotubes have impurities or defects.…

Materials Science · Physics 2007-05-23 Young-Woo Son , Jisoon Ihm , Marvin L. Cohen , Steven G. Louie , Hyoung Joon Choi

We derived the analytic solution of induced electrostatic potential along single wall carbon nanotubes. Under the hypothesis of constant density of states in the charge-neutral level, we are able to obtain the linear density of excess…

Materials Science · Physics 2009-11-11 Zhibing Li , Weiliang Wang

We use an ab-initio approach to design and study a novel two-dimensional material - a planar array of carbon nanotubes separated by an optimal distance defined by the van der Waals interaction. We show that the energy spectrum for an array…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 R. G. Polozkov , N. Y. Senkevich , S. Morina , P. Kuzhir , M. E. Portnoi , I. A. Shelykh

We evidence the importance of electron charging under nonequilibrium conditions for carbon-nanotube-based molecular bridges, using a self-consistent Green's function method with an extended Huckel Hamiltonian and a three-dimensional Poisson…

Mesoscale and Nanoscale Physics · Physics 2007-10-23 Ioannis Deretzis , Antonino La Magna

We theoretically investigate the electro-mechanics of a Suspended Carbon Nanotube with a Deflection Sensitive Resistance subjected to a homogeneous Magnetic Field and a constant Voltage Bias. We show that, (with the exception of a singular…

Mesoscale and Nanoscale Physics · Physics 2012-04-25 Anders Nordenfelt

Carbon nanotubes have attracted considerable interest for their unique electronic properties. They are fascinating candidates for fundamental studies of one dimensional materials as well as for future molecular electronics applications. The…

Carbon nanotubes are a feverishly-studied topic in the scientific community as of late. Mathematically, they can be modeled with a quantum graph. Here we consider a structure somewhat similar to carbon nanotubes, another quantum graph that…

Mathematical Physics · Physics 2016-01-26 Jeremy Tillay

We consider radially twisted nanotubes in the low-energy approximation where the dynamics is governed by a one-dimensional Dirac equation. The mechanical deformation of the nanotubes is reflected by the presence of an effective vector…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Francisco Correa , Vit Jakubsky

We describe the electro-thermal transport in metallic carbon nanotubes (m-CNTs) by a semi-classical approach that takes into account the high-field dynamical interdependence between charge carrier and phonon populations. Our model is based…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Marcelo A. Kuroda , Jean Pierre Leburton

An external magnetic field is found to have strong effects on the electronic structure of carbon nanotubes. A field-induced metal-insulator transition is predicted for all pure nanotubes. In a weak field, nanotubes exhibit both large…

Condensed Matter · Physics 2009-10-22 Jian Ping Lu

We analyse the low lying spectrum of a model of excitons in carbon nanotubes. Consider two particles with an attractive Coulomb self-interaction, placed on an infinitely long cylinder. If the cylinder radius becomes small, the low lying…

Mathematical Physics · Physics 2007-05-23 Horia D. Cornean , Pierre Duclos , Benjamin Ricaud

Carbon nanotubes are quasi-one-dimensional systems that possess superior transport, mechanical, optical, and chemical properties. In this work, we generalize the notion of disorder hyperuniformity, a recently discovered exotic state of…

Statistical Mechanics · Physics 2023-01-04 Duyu Chen , Yu Liu , Yu Zheng , Houlong Zhuang , Mohan Chen , Yang Jiao

Effective low-energy Hamiltonian of interacting electrons in conducting single-wall carbon nanotubes with arbitrary chirality is derived from the microscopic lattice model. The parameters of the Hamiltonian show very weak dependence on the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadi A. Odintsov , Hideo Yoshioka
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