Superconductivity in 4 Angstrom Single-Walled Carbon Nanotubes

Tang, Zikang; Zhang, Lixia; Wang, Ning; Zhang, Xixiang; Wen, Gehui; Li, Guodong; Wang, Jiannong; Chan, Che Ting; Sheng, Ping

doi:10.1126/science.1060470

Cited by 790 publications

(517 citation statements)

References 14 publications

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“…This method helped to increase the yield of SWNTs, though higher concentrations gave amorphous carbon overcoating or required lower production temperatures. In other works, a mixture of benzene and ferrocene [108], metallocenes in an admixture with C 2 H 2 [118], CO and CO/H 2 [119] or Fe(C 5 H 5 ) 2 [120] was suggested as a carbon feedstock. Moreover, ultralong SWNTs of 10-20 cm length have been synthesised by Zhu et al using a hexane solution of ferrocene and thiophene with hydrogen as the carrier gas [121].…”

Section: High-pressure Carbon Monoxide Reaction (Hipco)mentioning

confidence: 99%

Carbon nanotubes for ultrafast fibre lasers

et al. 2016

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Carbon nanotubes (CNTs) possess both remarkable optical properties and high potential for integration in various photonic devices. We overview, here, recent progress in CNT applications in fibre optics putting particular emphasis on fibre lasers. We discuss fabrication and characterisation of different CNTs, development of CNTbased saturable absorbers (CNT-SA), their integration and operation in fibre laser cavities putting emphasis on stateof-the-art fibre lasers, mode locked using CNT-SA. We discuss new design concepts of high-performance ultrafast operation fibre lasers covering ytterbium (Yb), bismuth (Bi), erbium (Er), thulium (Tm) and holmium (Ho)-doped fibre lasers.

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Section: High-pressure Carbon Monoxide Reaction (Hipco)mentioning

confidence: 99%

Carbon nanotubes for ultrafast fibre lasers

et al. 2016

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“…This is the situation in the experiments reported in Ref. 20, where the samples contain large 3D arrays of small-diameter nanotubes. Systems that are formed by the assembly of a large amount of nanotubes, as is also the case of nanotube ropes, require in general an additional analysis of the interactions arising between different nanotubes.…”

Section: Intertube Screening and Instabilities In A 3d Array Of Nmentioning

confidence: 79%

“…This is the most important effect of the environment in the particular experimental setup described in Ref. 20. 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.…”

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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“…9(b). The decreasing of the binding energy with N is suggested by recent measurements on nanotubes with diameter of few Angstrom [3]. However, in the limit of large N, ∆ asympt (N) remains stable around 0.0028 t and may be interpreted as the binding energy of the W = 0 pair in an optimally doped graphite sheet.…”

Section: Nanotubesmentioning

confidence: 92%

“…In a list of the most important and frequently discussed examples, one could mention the cuprates [1], organic superconductors including fullerenes [2] and carbon nanotubes [3], ruthenates [4], and Na-Co oxides [5]. Among the most interesting possibilities, correlation effects have been invoked, and the Hubbard model [6] has been increasingly popular to achieve a simplified picture.…”

Section: Introductionmentioning

confidence: 99%

W= 0 pairing in Hubbard and related models of low-dimensional superconductors

Balzarotti

Cini

Perfetto

et al. 2004

J. Phys.: Condens. Matter

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Abstract. Lattice Hamiltonians with on-site interaction W have W = 0 solutions, that is, many-body singlet eigenstates without double occupation. In particular, W = 0 pairs give a clue to understand the pairing force in repulsive Hubbard models. These eigenstates are found in systems with high enough symmetry, like the square, hexagonal or triangular lattices. By a general theorem, we propose a systematic way to construct all the W = 0 pairs of a given Hamiltonian. We also introduce a canonical transformation to calculate the effective interaction between the particles of such pairs. In geometries appropriate for the CuO 2 planes of cuprate superconductors, armchair Carbon nanotubes or Cobalt Oxides planes, the dressed pair becomes a bound state in a physically relevant range of parameters. We also show that W = 0 pairs quantize the magnetic flux like superconducting pairs do. The pairing mechanism breaks down in the presence of strong distortions. The W = 0 pairs are also the building blocks for the antiferromagnetic ground state of the half-filled Hubbard model at weak coupling. Our analytical results for the 4 × 4 Hubbard square lattice, compared to available numerical data, demonstrate that the method, besides providing intuitive grasp on pairing, also has quantitative predictive power. We also consider including phonon effects in this scenario. Preliminary calculations with small clusters indicate that vector phonons hinder pairing while half-breathing modes are synergic with the W = 0 pairing mechanism both at weak coupling and in the polaronic regime.

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Superconductivity in 4 Angstrom Single-Walled Carbon Nanotubes

Cited by 790 publications

References 14 publications

Carbon nanotubes for ultrafast fibre lasers

Carbon nanotubes for ultrafast fibre lasers

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

W= 0 pairing in Hubbard and related models of low-dimensional superconductors

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