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We present an overview of strong correlations in single-wall carbon nanotubes, and an introduction to the techniques used to study them theoretically. We concentrate on zigzag nanotubes, although universality dictates that much ofthe theory…

Strongly Correlated Electrons · Physics 2009-11-13 Sam T. Carr

We consider the effects of Coulomb interactions on single-wall carbon nanotubes using an on-site Hubbard interaction, u. For the (N,N) armchair tubes the low energy theory is shown to be identical to a 2-chain Hubbard model at half-filling,…

Strongly Correlated Electrons · Physics 2009-10-28 Leon Balents , Matthew P. A. Fisher

We systematically investigate the relationships between structural and electronic effects of finite size zigzag or armchair carbon nanotubes of various diameters and lengths, starting from a molecular template of varying shape and diameter,…

The band structures of the periodic nanotube junctions are investigated by the effective mass theory and the tight binding model. The periodic junctions are constructed by introducing pairs of a pentagonal defect and a heptagonal defect…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ryo Tamura , Masaru Tsukada

The importance of finite-size effects for the electronic structure of long zigzag and armchair carbon nanotubes is studied. We analyze the electronic structure of capped (6,6), (8,0), and (9,0) single walled carbon nanotubes as a function…

Chemical Physics · Physics 2007-05-23 Oded Hod , Juan E. Peralta , Gustavo E. Scuseria

Single-wall carbon nanotubes with on-site interaction $U \ll t$ are studied by a controlled renormalization group method. When formulated as a system of $N_{f}$ flavors of interacting Dirac fermions, the effective model at generic filling…

Strongly Correlated Electrons · Physics 2009-10-30 Hsiu-Hau Lin

We consider the effect of various defects and boundary structures on the low energy electronic properties in conducting zigzag and armchair carbon nanotubes. The tight binding model of the conduction bands is mapped exactly onto simple…

Mesoscale and Nanoscale Physics · Physics 2010-10-20 Sebastian A. Reyes , Alexander Struck , Sebastian Eggert

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

We present a tight binding theory to analyze the motion of electrons between carbon nanotubes bundled into a carbon nanotube rope. The theory is developed starting from a description of the propagating Bloch waves on ideal tubes, and the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ahmed A. Maarouf , Charles L. Kane , Eugene J. Mele

The electronic structure of finite-length armchair carbon nanotubes has been studied using several ab-initio and semi-empirical quantum computational techniques. The additional confinement of the electrons along the tube axis leads to the…

Materials Science · Physics 2007-05-23 Alain Rochefort , Dennis R. Salahub , Phaedon Avouris

We perform density functional theory calculations on a series of armchair and zigzag nanotubes of diameters less than 1nm using the all-electron Full-Potential(-Linearised)-Augmented-Plane-Wave (FPLAPW) method. Emphasis is laid on the…

Condensed Matter · Physics 2009-11-10 J. T. Titantah , K. Jorissen , D. Lamoen

We investigate curvature effects on geometric parameters, energetics and electronic structure of zigzag nanotubes with fully optimized geometries from first-principle calculations. The calculated curvature energies, which are inversely…

Materials Science · Physics 2009-11-07 O. Gulseren , T. Yildirim , S. Ciraci

In this paper, we propose a characterization of the mechanical response of the linearly elastic shell we associate to a single-wall carbon nanotube of arbitrary chirality. In Bajaj et al. 2013, we gave such a characterization in the case of…

Mathematical Physics · Physics 2015-06-16 Antonino Favata , Paolo Podio-Guidugli

A theory of the long wavelength low energy electronic structure of graphite-derived nanotubules is presented. The propagating $\pi$ electrons are described by wrapping a massless two dimensional Dirac Hamiltonian onto a curved surface. The…

Condensed Matter · Physics 2009-10-28 C. L. Kane , E. J. Mele

Single-wall carbon nanotubes are almost ideal systems for the investigation of exotic many-body effects due to non-Fermi liquid behavior of interacting electrons in one dimension. Recent theoretical and experimental results are reviewed…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Odintsov , H. Yoshioka

The massive-band effects on screening behavior of metallic carbon nanotubes are theoretically investigated using two different methods; continuous and lattice quantum theories. Both approaches show screening of a localized external…

Strongly Correlated Electrons · Physics 2007-05-23 K. Sasaki , A. A. Farajian , H. Mizuseki , Y. Kawazoe

We theoretically study the interplay between electrical and mechanical properties of suspended, doubly clamped carbon nanotubes in which charging effects dominate. In this geometry, the capacitance between the nanotube and the gate(s)…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Sapmaz , Ya. M. Blanter , L. Gurevich , H. S. J. van der Zant

We investigate the nitrogen substitutional impurity in semiconducting zigzag and metallic armchair single-wall carbon nanotubes using ab initio density functional theory. At low concentrations (less than 1 atomic %), the defect state in a…

Materials Science · Physics 2007-05-23 Andriy H. Nevidomskyy , Gábor Csányi , Michael C. Payne

In a recent paper Liang {\it et al.} [Nature {\bf 411}, 665 (2001)] showed experimentally, that metallic nanotubes, strongly coupled to external electrodes, may act as coherent molecular waveguides for electronic transport. The experimental…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Krompiewski , J. Martinek , J. Barnas

The electronic properties of carbon nanotubes in a uniform transverse field are investigated within a single orbital tight-binding model. For doped nanotubes, the dielectric function is found to depend not only on symmetry of the tube, but…

Materials Science · Physics 2015-06-24 Yan Li , Slava V. Rotkin , Umberto Ravaioli
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