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A periodic potential applied to a nanotube is shown to lock electrons into incompressible states that can form a devil's staircase. Electron interactions result in spectral gaps when the electron density (relative to a half-filled Carbon…

介观与纳米尺度物理 · 物理学 2007-05-23 Dmitry S. Novikov

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…

介观与纳米尺度物理 · 物理学 2009-10-31 Arkadi A. Odintsov , Hideo Yoshioka

We use higher-dimensional bosonization to study the normal state of electrons in weakly coupled metallic chains interacting with long-range Coulomb forces. Particular attention is paid to the crossover between Luttinger and Fermi liquid…

强关联电子 · 物理学 2009-10-30 Peter Kopietz , Volker Meden , Kurt Schoenhammer

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…

强关联电子 · 物理学 2009-11-11 J. Gonzalez , E. Perfetto

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,…

强关联电子 · 物理学 2009-10-28 Leon Balents , Matthew P. A. Fisher

We develop in this paper a theoretical framework that applies to the intermediate regime between the Coulomb blockade and the Luttinger liquid behavior in multi-walled carbon nanotubes. Our main goal is to confront the experimental…

强关联电子 · 物理学 2009-11-11 S. Bellucci , J. Gonzalez , P. Onorato , E. Perfetto

Coulomb interaction effects have pronounced consequences in carbon nanotubes due to their 1D nature. In particular, correlations imply the breakdown of Fermi liquid theory and typically lead to Luttinger liquid behavior characterized by…

介观与纳米尺度物理 · 物理学 2016-08-31 R. Egger , A. Bachtold , M. Fuhrer , M. Bockrath , D. Cobden , P. McEuen

We present a low energy-theory for non-linear transport in finite-size interacting single-wall carbon nanotubes. It is based on a microscopic model for the interacting p_z electrons and successive bosonization. We consider weak coupling to…

介观与纳米尺度物理 · 物理学 2007-05-23 Leonhard Mayrhofer , Milena Grifoni

We study the limit of large onsite repulsion of the one-dimensional Bose-Hubbard model at low densities, and derive a strong-coupling effective Hamiltonian. By taking the lattice parameter to zero, the Hamiltonian becomes a continuum model…

介观与纳米尺度物理 · 物理学 2009-11-10 M. A. Cazalilla

Harmonically trapped ultra-cold atoms and helium-4 in nanopores provide new experimental realizations of bosons in one dimension, motivating the search for a more complete theoretical understanding of their low energy properties. Worm…

统计力学 · 物理学 2010-08-27 Adrian Del Maestro , Ian Affleck

A low energy-theory for non-linear transport in finite-size single-wall carbon nanotubes, based on a microscopic model for the interacting pz electrons and successive bosonization, is presented. Due to the multiple degeneracy of the energy…

强关联电子 · 物理学 2007-05-23 Leonhard Mayrhofer , Milena Grifoni

Luttinger liquid behavior was observed in a crossed junction formed with two metallic multi-wall carbon nanotubes whose differential conductance vanished with the power of bias voltage and temperature. With applying constant voltage or…

介观与纳米尺度物理 · 物理学 2007-05-23 Jinhee Kim , Kicheon Kang , Jeong-O Lee , Kyung-Hwa Yoo , Jae-Ryoung Kim , Jong Wan Park , Hye Mi So , Ju-Jin Kim

Using an atomic force microscope we have created nanotube junctions such as buckles and crossings within individual single-wall metallic carbon nanotubes connected to metallic electrodes. The electronic transport properties of these…

介观与纳米尺度物理 · 物理学 2009-10-31 Henk W. Ch. Postma , Mark de Jonge , Zhen Yao , Cees Dekker

The low-energy theory for single-wall carbon nanotubes including Coulomb interactions is derived and analyzed. It describes two fermion chains without interchain hopping but coupled in a specific way by the interaction. The strong-coupling…

凝聚态物理 · 物理学 2009-10-30 Reinhold Egger , Alexander O. Gogolin

The Hubbard model describes interacting electrons on a lattice,a situation which occurs in various solid state materials and devices. The aim of the present paper is to briefly discuss this model and its applications in the study of…

材料科学 · 物理学 2010-01-20 V. Celebonovic

We argue that long-range Coulomb forces convert an isolated (N,N) armchair carbon nanotube into a strongly-renormalized *Luttinger liquid*. At high temperatures, we find anomalous temperature dependences for the interaction and impurity…

介观与纳米尺度物理 · 物理学 2009-10-30 Charlie Kane , Leon Balents , Matthew Fisher

We discuss the properties of interacting electrons on a finite chain with open boundary conditions. We extend the Haldane Luttinger liquid description to these systems and study how the presence of the boundaries modifies various…

凝聚态物理 · 物理学 2009-10-28 M. Fabrizio , Alexander O. Gogolin

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling…

强关联电子 · 物理学 2020-06-01 DinhDuy Vu , Anibal Iucci , Sankar Das Sarma

The low energy spectrum of finite size metallic single-walled carbon nanotubes SWNTs) is determined. Starting from a tight binding model for the $p_{z}$ electrons, we derive the low energy Hamiltonian containing all relevant scattering…

介观与纳米尺度物理 · 物理学 2009-11-13 Leonhard Mayrhofer , Milena Grifoni

We study nonlinear transport for two coupled one-dimensional quantum wires or carbon nanotubes described by Luttinger liquid theory. Transport properties are shown to crucially depend on the contact length $L_c$. For a special interaction…

强关联电子 · 物理学 2009-10-31 A. Komnik , R. Egger