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We investigate a metallic zigzag carbon nanotube by means of a Hubbard model which includes both on-site and nearest neighbour interactions. Assuming weak interactions, a renormalization group analysis of the equivalent two-leg ladder…

Strongly Correlated Electrons · Physics 2008-07-02 J. E. Bunder , Hsiu-Hau Lin

We derive a low-energy effective model of metallic zigzag carbon nanotubes at half filling. We show that there are three important features characterizing the low-energy properties of these systems: the long-range Coulomb interaction,…

Strongly Correlated Electrons · Physics 2009-11-13 Sam T. Carr , Alexander O. Gogolin , Alexander A. Nersesyan

We investigate dynamical symmetry enlargement in the half-filled SU(4) Hubbard chain using non-perturbative renormalization group and Quantum Monte Carlo techniques. A spectral gap is shown to open for arbitrary Coulombic repulsion $U$. At…

Strongly Correlated Electrons · Physics 2009-11-10 R. Assaraf , P. Azaria , E. Boulat , M. Caffarel , P. Lecheminant

In this paper, we report the applicability of the density matrix renormalization group(DMRG) approach to the cylindrical single wall carbon nanotube (SWCN) for purpose of its correlation effect. By applying the DMRG approach to the…

Materials Science · Physics 2007-05-23 Fei Ye , Bing-Shen Wang , JiZhong Lou , Zhao-Bin Su

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

Analytical solutions of the edge states were obtained for the (N, 0) type carbon nanotubes with distorted ending bonds. It was found that the edge states are mixed via the distortion. The total energies for N=5 and N>=7 are lower in the…

Materials Science · Physics 2012-09-05 Weiliang Wang , Ningsheng Xu , Zhibing Li

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

Poor screening of the long-range Coulomb interaction in one-dimensional carbon nanotubes results in a peculiar picture of contact phenomena. Being brought to a contact with a metal, conducting nanotube accumulates electric charge whose…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadi A. Odintsov , Yasuhiro Tokura

We investigate competing insulating phases in nearly metallic zigzag carbon nanotubes, under conditions where an applied magnetic flux approximately closes the single particle gap in one valley. Recent experiments have shown that an energy…

Mesoscale and Nanoscale Physics · Physics 2023-01-04 Assaf Voliovich , Mark S. Rudner , Yuval Oreg , Erez Berg

A comprehensive first-principles theoretical study of the electronic properties and half-metallic nature of finite zigzag carbon nanotubes is presented. Unlike previous reports, we find that all nanotubes studied present a spin-polarized…

Materials Science · Physics 2008-11-29 Oded Hod , Gustavo E. Scuseria

Carbon nanotubes are excellent nano-electromechanical systems, combining high resonance frequency, low mass, and large zero-point motion. At cryogenic temperatures they display high mechanical quality factors. Equally they are outstanding…

Mesoscale and Nanoscale Physics · Physics 2024-03-06 N. Hüttner , S. Blien , P. Steger , A. N. Loh , R. Graaf , A. K. Hüttel

Based on the tight binding method with hopping integral between the nearest-neighbor atoms, an oscillator strength $\int_0^{\infty} \d \omega {\rm Re} \sigma (\omega)$ is discussed for armchair and metallic zigzag carbon nanotubes. The…

Condensed Matter · Physics 2009-10-31 H. Yoshioka

The electronic spectrum of metallic finite-size single-wall carbon nanotubes at low energies is derived. It is based on a tight-binding description for the interacting p_{z} electrons. Not only the forward scattering parts of the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2008-07-31 Leonhard Mayrhofer , Milena Grifoni

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

A model of carbon nanotube at half filling is studied. The Coulomb interaction is assumed to be unscreened. It is shown that this allows to develop the adiabatic approximation which leads to considerable simplifications in calculations of…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Nersesyan , A. M. Tsvelik

We present a detailed study of the static enhancement effects of electric charges in micron-length single-walled carbon nanotubes, using theoretically an atomic charge-dipole model and experimentally electrostatic force microscopy. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Zhao Wang , Mariusz Zdrojek , Thierry Melin , Michel Devel

We demonstrate, for the first time, the large electromechanical response in nematic liquid crystalline elastomers filled with a very low (~0.01%) concentration of carbon nanotubes, aligned along the nematic director at preparation. The…

Soft Condensed Matter · Physics 2009-11-10 S. Courty , J. Mine , A. R. Tajbakhsh , E. M. Terentjev

We investigate the electronic instabilities of the small-diameter (3,3) carbon nanotubes by studying the low-energy perturbations of the normal Luttinger liquid regime. The bosonization approach is adopted to deal exactly with the…

Strongly Correlated Electrons · Physics 2009-11-11 J. Gonzalez , E. Perfetto

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

We compute electrostatic fields induced deformations of cantilevered finite-length metallic carbon nanotubes, using an energy minimization method based on a charge-dipole moment interaction potential combined with an empirical many-body…

Mesoscale and Nanoscale Physics · Physics 2018-10-26 Z. Wang , M. Devel
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