<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:math>NMR evidence for dynamics of nanotubes in ropes

Bac, Christophe Goze; Latil, Sylvain; Vaccarini, L.; Bernier, P.; Gaveau, Philippe; Tahir, Saïd; Micholet, V.; Aznar, R.; Rubio, Ángel; Méténier, K.; Béguin, François

doi:10.1103/physrevb.63.100302

Cited by 46 publications

(53 citation statements)

References 13 publications

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“…Below 50 K, the relaxation rate increases with decreasing temperature, which can be attributed to relaxation by magnetic catalyst impurities present in the sample. 8 Above 50 K, we observed a linear regime with a slope depending on the lithium intercalation level. The linear increase of the relaxation rate above 50 K is typical for a metallic Fermi liquid system.…”

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confidence: 72%

Metallic properties of Li-intercalated carbon nanotubes investigated by NMR

et al. 2006

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confidence: 72%

Metallic properties of Li-intercalated carbon nanotubes investigated by NMR

et al. 2006

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“…The limited number of sidebands (single) shows a chemical shift anisotropy typical for sp 2 carbon and no additive source of broadening, which is consistent with a high-quality material. 6 tubes compared to semiconducting nanotubes. 5,18 Our data are consistent with a double exponential decay where T 1 ) 2.9 s and T 1 ) 31s in metallic and semiconducting SWNTs, respectively.…”

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confidence: 97%

High-Purity Diamagnetic Single-Wall Carbon Nanotube Buckypaper

et al. 2007

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We describe a novel purification process for single-wall carbon nanotube (SWNT) materials that removes non-nanotube carbon and reduces ferromagnetic impurities to levels at which native SWNT magnetic properties predominate. Ferromagnetism is reduced from 1.04 to less than 0.013 emu/g by magnetic gradient filtration. This procedure creates samples of sufficient quality for spectroscopies such as nuclear magnetic resonance (NMR). The overall cleanliness and purity of the material is confirmed through NIR absorption spectroscopy, X-ray diffraction, C 60 filling experiments with yields exceeding 90%, and highresolution 13 C NMR.

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“…Unfortunately, the behavior of ðT 1 TÞ À1 found experimentally is conflicting: earlier studies found a T independent ðT 1 TÞ À1 for metallic SWCNTs [14,15], whereas latter ones clearly showed a power-law behavior [16,17]. Given that recent studies agree [20,21,25] about the validity of the TLL description, the discrepancy between the NMR results is probably due to the inferior quality of the earlier samples.…”

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confidence: 96%

“…[14][15][16][17]. However, the analysis requires care since the Fermi-liquid (FL) theory for T 1 does not apply in the SWCNTs as the low energy excitations in metallic SWCNTs are described by the Tomonaga-Luttinger liquid (TLL) framework [18][19][20][21].…”

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confidence: 99%

Enhanced NMR Relaxation of Tomonaga-Luttinger Liquids and the Magnitude of the Carbon Hyperfine Coupling in Single-Wall Carbon Nanotubes

et al. 2011

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Recent transport measurements [Churchill et al. Nature Phys. 5, 321 (2009)] found a surprisingly large, 2-3 orders of magnitude larger than usual 13 C hyperfine coupling (HFC) in 13 C enriched single-wall carbon nanotubes. We formulate the theory of the nuclear relaxation time in the framework of the Tomonaga-Luttinger liquid theory to enable the determination of the HFC from recent data by Ihara et al.[Europhys. Lett. 90, 17 004 (2010)]. Though we find that 1=T 1 is orders of magnitude enhanced with respect to a Fermi-liquid behavior, the HFC has its usual, small value. Then, we reexamine the theoretical description used to extract the HFC from transport experiments and show that similar features could be obtained with HFC-independent system parameters. DOI: 10.1103/PhysRevLett.107.187204 PACS numbers: 75.75.Àc, 71.10.Pm, 73.63.Àb, 74.25.nj Albeit small, the electron-nuclear hyperfine coupling (HFC) is the dominant mechanism in physical phenomena which are key to, e.g., nuclear quantum computing [1], magnetic resonance spectroscopy [2], and it plays a fundamental role in spintronics [3]. The HFC is due to the magnetic interaction between the nucleus and electrons, with a number of different mechanisms such as the Fermi contact, spin-dipole, core-polarization, orbital, and transferred HFC [4].It is generally accepted that the HFC does not change more than an order of magnitude for different environments of an atom [5]. Typical values for the 13 C HFC are 1-5 Â 10 À7 eV [6-8] with a largest known value of 1:8 Â 10 À6 eV in an organic free radical [9].It therefore came as a surprise that transport experiments [10] on a double quantum dot formed of 13 C enriched single-wall carbon nanotubes (SWCNTs) found a HFC,À4 eV, which is 2-3 orders of magnitude larger than measured for C 60 [7] or calculated for graphene [8], which are similar carbonaceous nanostructures. In Ref.[10], a theory developed for GaAs quantum dots [11] was used to analyze the data, which has some shortcomings. First, the HFC in GaAs is 2-3 orders of magnitude stronger than the usual value in carbon. Second, both Ga and As have a nearly isotropic HFC [12] whereas the anisotropic HFC usually dominates for carbon [7]. Third, SWCNTs possess an extra degree of freedom, the so-called valley degeneracy, which may lead to distinct behavior of the QD transport properties [13]. Fourth, the particular one dimensionality of SWCNTs may affect the analysis. Clearly, settling the issue calls for an analysis which yields the HFC directly from magnetic resonance spectroscopy.NMR measurement of the 13 C spin-lattice relaxation time, T 1 , in SWCNTs can give directly the HFC and such results were reported in Refs. [14][15][16][17]. However, the analysis requires care since the Fermi-liquid (FL) theory for T 1 does not apply in the SWCNTs as the low energy excitations in metallic SWCNTs are described by the Tomonaga-Luttinger liquid (TLL) framework [18][19][20][21]. The TLL is an exotic correlated state [22,23] and yet SWCNTs offer its best realization. So far the...

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13CNMR evidence for dynamics of nanotubes in ropes

Cited by 46 publications

References 13 publications

Metallic properties of Li-intercalated carbon nanotubes investigated by NMR

Metallic properties of Li-intercalated carbon nanotubes investigated by NMR

High-Purity Diamagnetic Single-Wall Carbon Nanotube Buckypaper

Enhanced NMR Relaxation of Tomonaga-Luttinger Liquids and the Magnitude of the Carbon Hyperfine Coupling in Single-Wall Carbon Nanotubes

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