Room Temperature Peierls Distortion in Small Diameter Nanotubes

Connétable, Damien; Rignanese, Gian‐Marco; Charlier, Jean‐Christophe; Blase, Xavier

doi:10.1103/physrevlett.94.015503

Cited by 146 publications

(164 citation statements)

References 40 publications

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“…at other no other unique t noteworthy is the G band (i.e., the in-plane mode) from each of the two metallic a single, narrow, resonance-enhanced k at 1582 cm (6,6) and 1587 cm s observation is consistent with results obtained from single- 29 on a e mixture. 30 on of single-chirality armchair tubes, removed the problem of limited statistical samassociated with single-nanotube measurements and the n from semiconducting tubes in the nanomeasurements.…”

Section: Optical Absorption and Colors Of Armchair Carbon Nanotubessupporting

confidence: 81%

“…Mishchenko and Starykh 21 predict that optical absorption between the linear band and the first massive band (the so-called E M 01 or E M 10 transition) is enhanced, compared to the non-interacting case, and develops a power-law frequency dependence ∝ (ω−∆) −γ , where γ ≈ 0.2 for typical nanotubes. [27][28][29][30] Such predictions provide the theoretical impetus for experimentally probing nonequilibrium many-body responses driven through optical excitations and other quantum effects in armchair SWCNTs. At the same time, as exceptionally conductive wires, exhibiting ballistic conduction even at room temperature, [31][32][33] they are promising for a variety of electronic applications.…”

Section: Introductionmentioning

confidence: 99%

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Fundamental optical processes in armchair carbon nanotubes

Hároz

Duque

et al. 2013

Nanoscale

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Single-wall carbon nanotubes provide ideal model 1-D condensed matter systems in which to address fundamental questions in many-body physics, while, at the same time, they are leading candidates for building blocks in nanoscale optoelectronic circuits. Much attention has been recently paid to their optical properties, arising from 1-D excitons and phonons, which have been revealed via photoluminescence, Raman scattering, and ultrafast optical spectroscopy of semiconducting carbon nanotubes. On the contrary, dynamical properties of metallic nanotubes have been poorly explored, although they are expected to provide a novel setting for the study of electron-hole pairs in the presence of degenerate 1-D electrons. In particular, (n,n)-chirality, or armchair, metallic nanotubes are truly gapless with massless carriers, ideally suited for dynamical studies of Tomonaga-Luttinger liquids. Unfortunately, progress towards such studies has been slowed by the inherent problem of nanotube synthesis whereby both semiconducting and metallic nanotubes are produced. Here, we use post-synthesis separation methods based on density gradient ultracentrifugation and DNAbased ion-exchange chromatography to produce aqueous suspensions strongly enriched in armchair nanotubes. Through resonant Raman spectroscopy of the radial breathing mode phonons, we provide macroscopic and unambiguous evidence that density gradient ultracentrifugation can enrich armchair nanotubes. Furthermore, using conventional, optical absorption spectroscopy in the nearinfrared and visible range, we show that interband absorption in armchair nanotubes is strongly excitonic. Lastly, by examining the G-band mode in Raman spectra, we determine that observation of the broad, lower frequency (G − ) feature is a result of resonance with non-armchair "metallic" nanotubes. These findings regarding the fundamental optical absorption and scattering processes in metallic carbon nanotubes lay the foundation for further spectroscopic studies to probe many-body physical phenomena in one dimension.

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Section: Optical Absorption and Colors Of Armchair Carbon Nanotubessupporting

confidence: 81%

Section: Introductionmentioning

confidence: 99%

Fundamental optical processes in armchair carbon nanotubes

Hároz

Duque

et al. 2013

Nanoscale

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“…We will see that the strong reduction of the Coulomb interaction leads then to the prevalence of charge instabilities with similar character to the WentzelBardeen singularity. 27 We may compare the results of our investigation with those obtained for the small-diameter zigzag nanotubes by means of ab initio simulations 28 and mean-fieldlike calculations. 29 In Ref.…”

Section: Introductionmentioning

confidence: 99%

Coulomb screening and electronic instabilities of small-diameter (5,0) nanotubes

González

Perfetto

2005

Phys. Rev. B

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We investigate the instabilities that may lead to the breakdown of the Luttinger liquid in the small-diameter ͑5,0͒ nanotubes, paying attention to the competition between the effective interaction mediated by phonon exchange and the Coulomb interaction. We use bosonization methods to achieve an exact treatment of the Coulomb interaction at small momentum transfer, and apply next renormalization group methods to analyze the low-energy behavior of the electron system. This allows us to discern the growth of several response functions for charge-density-wave modulations and for superconducting instabilities with different order parameters. We show that, in the case of single nanotubes exposed to screening by external gates, the Luttinger liquid is unstable against the onset of a strong-coupling phase with very large charge-density-wave correlations. The temperature of crossover to the new phase depends crucially on the dielectric constant of the environment, ranging from T c ϳ 10 −4 K ͑at Ϸ 1͒ up to a value T c ϳ 10 2 K ͑reached from Ϸ 10͒. The physical picture is however different when we consider the case of a large array of nanotubes, in which there is a three-dimensional screening of the Coulomb interaction over distances much larger than the intertube separation. The electronic instability is then triggered by the divergence of one of the charge stiffnesses in the Luttinger liquid, implying a divergent compressibility and the appearance of a regime of phase separation into spatial regions with excess and defect of electron density.

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“…Because of their unique electrical, mechanical and thermodynamic properties, these cylindrical tubes are finding use in a wide variety of applications [1][2][3][4][5][6][7].SWCNTs in particular, show fundamental phenomena ranging from possible superconductivity [8] or Luttinger-liquid state [9] to Peierls distortion [10].This paper reports a spectroscopic study on a zigzag singlewalled carbon nanotube. The work presented in this paper develops an insight into the phonon dispersion, normal modes of vibration, Raman spectra and IR spectra of a zigzag singlewalled carbon-nanotube using Cambridge Sequential Total Energy Package (CASTEP) Module of the Material Studio software version 7.0.…”

Section: Introductionmentioning

confidence: 99%

Vibrational spectra and phonon dispersion analysis of a single-walled zigzag carbon nanotube: A first principles study

Sharma

Jaggi

2016

Can. J. Phys.

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This paper reports a vibrational spectroscopic study on a zigzag single-walled carbon nanotube (SWCNT) using the first-principles method based on density functional theory (DFT). The most suitable exchange correlation functional for DFT analysis was determined by comparing the predicted value of band gap of the SWCNT under study with the experimental value reported in the literature. General gradient approximation functional in combination with revised Perdew–Burke–Ernzerh sub-functional was found to give the best results. Using this optimum combination, phonon density of states and phonon dispersion curves have been determined. The analysis of results obtained focuses on symmetry considerations, group theory analysis, segregation of Raman active and infrared (IR) active vibrational modes and interpretation of the Raman and IR spectra obtained. The earlier approaches to the problem rely upon the zone folding technique and force constant models in which structural relaxation factor is not taken care of. An ab initio approach has been adopted by the authors in this work, which is advantageous as it neither depends on some predefined parameter nor does it ignore the structural relaxation factor. Analysis of the Raman spectrum reveals some additional peaks other than the commonly known radial breathing mode, D, G, and G′ bands in the SWCNT spectra, which have been recently reported to be observed experimentally also. Similarly, the theoretically developed IR spectrum for the simulated SWCNT is also in agreement with experimental observations. The methodology presented thus provides a very useful and novel simulation route to predict the vibrational modes, Raman spectra, and IR spectra of SWCNTs theoretically.

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Room Temperature Peierls Distortion in Small Diameter Nanotubes

Cited by 146 publications

References 40 publications

Fundamental optical processes in armchair carbon nanotubes

Fundamental optical processes in armchair carbon nanotubes

Coulomb screening and electronic instabilities of small-diameter (5,0) nanotubes

Vibrational spectra and phonon dispersion analysis of a single-walled zigzag carbon nanotube: A first principles study

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