Estimation of Peierls-transition temperature in metallic carbon nanotube

Huang, Yuanhe; Okada, Mayumi; Tanaka, Kazuyoshi; Yamabe, Tokio

doi:10.1016/0038-1098(95)00529-3

Cited by 28 publications

(47 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…While the small-diameter nanotubes are predicted to have enhanced electron-phonon coupling (3)-a key element responsible for nanotube superconductivitythe associated increase in fluctuation effects is unfavorable to the manifestation of a superconducting transition. The possibility of a Peierls transition in thin nanotubes is a further deterrent to superconductivity (12)(13)(14)(15)(16)(17). It follows that the existence of coupling between the nanotubes is important to the realization of its superconducting behavior, since the transverse coherence can suppress fluctuations and lower the Peierls transition temperature, thereby making the appearance of a superconducting transition possible.…”

Section: Superconducting Characteristics Of 4-å Carbon Nanotube-zeolimentioning

confidence: 99%

Superconducting characteristics of 4-Å carbon nanotube–zeolite composite

Lortz

Zhang²,

Shi³

et al. 2009

Proc. Natl. Acad. Sci. U.S.A.

View full text Add to dashboard Cite

Fig. 4. Opposing effects of TCDD and EGF on differentiation of NHEKs. (A)NHEKs were grown to confluence, and basal medium, or medium with ␣-naphthoflavone (NF, 1 M) was added 24 h before treatment. CEs were isolated after treatment with either 0.1% DMSO or TCDD (10 nM) for 5 days. (B) NHEKs were grown to confluence, and basal medium with or without EGF (10 ng/mL) was added 24 h before treatment. CEs were isolated after treatment with either 0.1% DMSO or TCDD (10 nM) for 5 days. (C) NHEKs were grown to confluence, and basal medium, or medium with EGF (10 ng/mL), was added 24 h before treatment. CEs were isolated after treatment with either 0.1% DMSO or TCDD (10 nM) in the presence or absence of PD153035 (300 nM) for 5 days. (A-C) The values for CEs are a mean of triplicate samples Ϯ SD. (D-G) NHEKs were grown to a cell density of either 50% or 100% confluence before basal medium, or medium with EGF (10 ng/mL), was added for 24 h before treatment. Total mRNA was isolated after treatment with either control vehicle (0.1% DMSO) or TCDD (10 nM) for 24 h. Real-time PCR was used to determine the relative expression of each indicated gene (y axis). Levels of mRNA [mean (n ϭ 3) Ϯ SD] are expressed in units relative to the minimum, given a value of 1. (A-G) The a indicates that the value from treatment with TCDD is significantly different from the DMSO control; the b indicates that the value from cotreatment with TCDD and NF is significantly different from TCDD alone; the c indicates that the value from cotreatment with TCDD and EGF is significantly different from with TCDD alone; the d indicates that the value from treatment with TCDD, EGF, and PD153035 is significantly different from treatment with TCDD and EGF; and the e indicates that treatment with EGF is significantly different from DMSO control treatment. For each of these comparisons, P Յ 0.01 by Student's t test. Comparisons made in D-G are within the group grown to a cell density of 100% confluence.

show abstract

Section: Superconducting Characteristics Of 4-å Carbon Nanotube-zeolimentioning

confidence: 99%

Superconducting characteristics of 4-Å carbon nanotube–zeolite composite

Lortz

Zhang²,

Shi³

et al. 2009

Proc. Natl. Acad. Sci. U.S.A.

View full text Add to dashboard Cite

show abstract

“…46,47 Their geometry was investigated by several authors with contrasting results. It was proposed that they follow the atomic displacement patterns of LA phonons, 21,22 of radial breathing modes ͑RBM͒, 23 of solitwistons, 24 or of optical phonons with q = ⌫ or q =2k F , 13,15,[17][18][19][20] where k F is the wave vector for which the electron gap is null. Note that the condition q =2k F is equivalent to q = K in Fig.…”

Section: Kohn Anomalies and Peierls Distortionsmentioning

confidence: 99%

“…In metallic SWNTs the EPC strongly affects the phonon frequencies, giving rise to Kohn anomalies ͑KA͒ [12][13][14][15][16] and Peierls distortions ͑PD͒. 15,[17][18][19][20][21][22][23][24] A correct understanding and a quantitatively precise description of electron-phonon coupling, Kohn anomalies, and Peierls distortions in SWNTs is then of prime scientific and technological interest.…”

Section: Introductionmentioning

confidence: 99%

Optical phonons in carbon nanotubes: Kohn anomalies, Peierls distortions, and dynamic effects

et al. 2007

View full text Add to dashboard Cite

We present a detailed study of the vibrational properties of single wall carbon nanotubes ͑SWNTs͒. The phonon dispersions of SWNTs are strongly shaped by the effects of electron-phonon coupling. We analyze the separate contributions of curvature and confinement. Confinement plays a major role in modifying SWNT phonons and is often more relevant than curvature. Due to their one-dimensional character, metallic tubes are expected to undergo Peierls distortions ͑PD͒ at T = 0 K. At finite temperature, PD are no longer present, but phonons with atomic displacements similar to those of the PD are affected by strong Kohn anomalies ͑KA͒. We investigate by density functional theory ͑DFT͒ KA and PD in metallic SWNTs with diameters up to 3 nm, in the electronic temperature range from 4 K to 3000 K. We then derive a set of simple formulas accounting for all the DFT results. Finally, we prove that the static approach, commonly used for the evaluation of phonon frequencies in solids, fails because of the SWNTs reduced dimensionality. The correct description of KA in metallic SWNTs can be obtained only by using a dynamical approach, beyond the adiabatic Born-Oppenheimer approximation, by taking into account nonadiabatic contributions. Dynamic effects induce significant changes in the occurrence and shape of Kohn anomalies. We show that the SWNT Raman G peak can only be interpreted considering the combined dynamic, curvature and confinement effects. We assign the G + and G − peaks of metallic SWNTs to TO ͑circumferential͒ and LO ͑axial͒ modes, respectively, the opposite of semiconducting SWNTs.

show abstract

“…The majority of theoretical work on CNTs focuses on understanding the effects of the electron-electron interactions using the celebrated Luttinger-liquid theory. 2 Experimental observation of superconductivity in ropes of nanotubes 3 and small-radius nanotubes in a zeolite matrix 4 has also motivated theoretical studies of the electron-phonon interactions ͑EPIs͒, including the analysis of charge density wave ͑CDW͒ [5][6][7][8] and superconducting ͑SC͒ 9-13 instabilities. In this work we study the electron-phonon interactions in CNTs and discuss possible instabilities to the CDW and SC orders.…”

Section: Introductionmentioning

confidence: 99%

Electron-phonon interaction in ultrasmall-radius carbon nanotubes

2005

View full text Add to dashboard Cite

We perform analysis of the band structure, phonon dispersion, and electron-phonon interactions in three types of small-radius carbon nanotubes. We find that the ͑5,5͒ nanotube can be described well by the zonefolding method and the electron-phonon interaction is too small to support either a charge-density wave or superconductivity at realistic temperatures. For ultrasmall ͑5,0͒ and ͑6,0͒ nanotubes we find that the large curvature makes these tubes metallic with a large density of states at the Fermi energy and leads to unusual electron-phonon interactions, with the dominant coupling coming from the out-of-plane phonon modes. By combining the frozen-phonon approximation with the random phase approximation analysis of the giant Kohn anomaly in one dimension we find parameters of the effective Fröhlich Hamiltonian for the conduction electrons. Neglecting Coulomb interactions, we find that the ͑5,5͒ carbon nanotube ͑CNT͒ remains stable to instabilities of the Fermi surface down to very low temperatures while for the ͑5,0͒ and ͑6,0͒ CNTs a charge density wave instability will occur. When we include a realistic model of Coulomb interaction we find that the charge-density wave remains dominant in the ͑6,0͒ CNT with T CDW around 5 K while the charge-density wave instability is suppressed to very low temperatures in the ͑5,0͒ CNT, making superconductivity dominant with transition temperature around 1 K.

show abstract

Estimation of Peierls-transition temperature in metallic carbon nanotube

Cited by 28 publications

References 20 publications

Superconducting characteristics of 4-Å carbon nanotube–zeolite composite

Superconducting characteristics of 4-Å carbon nanotube–zeolite composite

Optical phonons in carbon nanotubes: Kohn anomalies, Peierls distortions, and dynamic effects

Electron-phonon interaction in ultrasmall-radius carbon nanotubes

Contact Info

Product

Resources

About