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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 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 revisit correlation effects in doped metallic zigzag carbon nanotubes by using both the one-loop renormalization group and non-perturbative bosonization techniques. Note that, if a nanotube is placed near a conducting plate, the…

Strongly Correlated Electrons · Physics 2009-11-13 J. E. Bunder , Hsiu-Hau Lin

A new application of the density matrix renormalization group (DMRG) method to a system composed of an interacting dot coupled to a infinite one dimensional lead is presented. This method enables one to study the influence of the coupling…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Richard Berkovits

Recent experiments about the low temperature behaviour of a Single Wall Carbon Nanotube (SWCNT) showed typical Coulomb Blockade (CB) peaks in the zero bias conductance and allowed us to investigate the energy levels of interacting…

Strongly Correlated Electrons · Physics 2009-11-11 S. Bellucci , P. Onorato

We discuss phase diagrams obtained by calculating temperature dependent correlation functions for superconductivity and density waves for a single (5,0) carbon nanotube (CN). We use one-loop renormalization group method within logarithmic…

Superconductivity · Physics 2007-05-23 Kenji Kamide , Takashi Kimura , Munihiro Nishida , Susumu Kurihara

The electronic states in isolated single-wall carbon nanotubes (SWCNTs) have been considered as an ideal realization of a Tomonaga-Luttinger liquid (TLL). However, it remains unclear whether one-dimensional correlated states are realized…

Strongly Correlated Electrons · Physics 2017-01-20 Noboru Serita , Yusuke Nakai , Kazuyuki Matsuda , Kazuhiro Yanagi , Yasumitsu Miyata , Takeshi Saito , Yutaka Maniwa

Charge ordering is often found in the phase diagram of unconventional superconductors in close proximity to the superconducting state. This has led to the suggestion that fluctuations of charge order can mediate superconducting pairing.…

Strongly Correlated Electrons · Physics 2025-04-04 R. Torsten Clay , Beau A. Thompson

For a capacitor made of a semiconducting carbon nanotube (CNT) suspended above a metallic gate, Coulomb correlations between individual electrons can lead to a capacitance that is much larger than the geometric capacitance. We argue that…

Strongly Correlated Electrons · Physics 2015-04-22 Han Fu , B. I. Shklovskii , Brian Skinner

We have developed an efficient method for performing density matrix renormalization group (DMRG) simulations of the SU(N) Fermi-Hubbard chain with open boundary conditions, fully leveraging the SU(N) symmetry of the problem. This method…

Strongly Correlated Electrons · Physics 2025-06-04 Pierre Nataf

We improve the density-matrix renormalization group (DMRG) evaluation of the Kubo formula for the zero-temperature linear conductance of one-dimensional correlated systems.The dynamical DMRG is used to compute the linear response of a…

Strongly Correlated Electrons · Physics 2018-10-08 Jan-Moritz Bischoff , Eric Jeckelmann

We develop two theoretical approaches for dealing with the low-energy effects of the repulsive interaction in one-dimensional electron systems. Renormalization Group methods allow us to study the low-energy behavior of the unscreened…

Strongly Correlated Electrons · Physics 2009-11-11 S. Bellucci , P. Onorato

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

Single-walled carbon nanotubes are strongly correlated systems with large Coulomb repulsion between two electrons occupying the same $p_z$ orbital. Within a molecular Hamiltonian appropriate for correlated $\pi$-electron systems, we show…

Materials Science · Physics 2009-02-15 Zhendong Wang , Demetra Psiachos , Roberto F. Badilla , Sumit Mazumdar

We consider a one-dimensional electron system, suitable for the description of the electronic correlations in a metallic carbon nanotube. Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb…

Strongly Correlated Electrons · Physics 2009-10-31 S. Bellucci , J. Gonzalez

Nanoscale topological spin textures in magnetic systems are emerging as promising candidates for scalable quantum architectures. Despite their potential as qubits, previous studies have been limited to semiclassical approaches, leaving a…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Guanxiong Qu , Ji Zou , Daniel Loss , Tomoki Hirosawa

This work investigates the mechanical response of single-walled carbon nanotubes (SWCNTs) coupled through van der Waals and electrostatic forces using molecular dynamic (MD) simulations and a continuum model. In MD simulations, the covalent…

Computational Physics · Physics 2023-08-01 Aningi Mokhalingam , Indranil S Dalal , Shakti S Gupta

The thermoelectric effects in semiconducting single-walled carbon nanotubes (SWCNTs) are investigated based on the linear response theory combined with the thermal Green's function method. It is shown that the electronic states near the…

Mesoscale and Nanoscale Physics · Physics 2018-10-26 Takahiro Yamamoto , Hidetoshi Fukuyama

We investigate linear and nonlinear transport in interacting single wall carbon nanotubes (SWCNTs) that are weakly attached to ferromagnetic leads. For the reduced density matrix of a SWCNT quantum dot, equations of motion which account for…

Mesoscale and Nanoscale Physics · Physics 2007-11-12 Sonja Koller , Leonhard Mayrhofer , Milena Grifoni

Using Coulomb correlation parameters appropriate for $\pi$-conjugated polymers (PCPs), and a nearest neighbor hopping integral that is arrived at by fitting the energy spectra of three zigzag semiconducting single-walled carbon nanotubes…

Materials Science · Physics 2007-05-23 Zhendong Wang , Hongbo Zhao , Sumit Mazumdar
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