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

González, J.; Perfetto, Enrico

doi:10.1103/physrevb.72.205406

Cited by 31 publications

(42 citation statements)

References 43 publications

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“…36 They showed that the appearance of the strongest relevant instability in the (5,0) nanotube is dependent on the dielectric constant of the environment. Hence the appearance of superconductivity for an array of (5,0) carbon nanotubes, in contrast to that for a single (5,0) nanotube, is potentially possible.…”

Section: Relevant Theoretical Studiesmentioning

confidence: 99%

Superconductivity in 4-Angstrom carbon nanotubes—a short review

et al. 2012

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We give an up-to-date review of the superconducting phenomena in 4-Angstrom carbon nanotubes embedded in aligned linear pores of the AlPO 4 -5 (AFI) zeolite, first discovered in 2001 as a fluctuation Meissner effect. With the introduction of a new approach to sample synthesis around 2007, new data confirming the superconductivity have been obtained. These comprise electrical, specific heat, and magnetic measurements which together yield a consistent yet complex physical picture of the superconducting state, largely owing to the one-dimensional (1D) nature of the 4-Angstrom carbon nanotubes. For the electrical transport characteristics, two types of superconducting resistive behaviors were reproducibly observed in different samples. The first type is the quasi 1D fluctuation superconductivity that exhibits a smooth resistance drop with decreasing temperature, initiating at 15 K. At low temperatures the differential resistance also shows a smooth increase with increasing bias current (voltage). Both are unaffected by an applied magnetic field up to 11 Tesla. These manifestations are shown to be consistent with those of a quasi 1D superconductor with thermally activated phase slips as predicted by the Langer-Ambegaokar-McCumber-Halperin (LAMH) theory. The second type is the quasi 1D to 3D superconducting crossover transition, which was observed to initiate at 15 K with a slow resistance decrease switching to a sharp order of magnitude drop at $7.5 K. The latter exhibits anisotropic magnetic field dependence and is attributed to a Berezinskii-Kosterlitz-Thouless (BKT)-like transition that establishes quasi-long-range order in the plane transverse to the c-axis of the aligned nanotubes, thereby mediating a 1D to 3D crossover. The electrical data are complemented by magnetic and thermal specific heat bulk measurements. By using both the SQUID VSM and the magnetic torque technique, the onset of diamagnetism was observed to occur at $15 K, with a rapid increase of the diamagnetic moment below $7 K. The zero-field-cooled and field-cooled branches deviated from each other below 7 K, indicating the establishment of a 3D Meissner state with macroscopic phase coherence. The superconductivity is further supported by the specific heat measurements, which show an anomaly with onset at 15 K and a peak at 11-12 K. In the 3D superconducting state, the nanotube arrays constitute a type-II anisotropic superconductor with H c1 z 60 to 150 Oe, coherence length x z 5 to 15 nm, London penetration length l z 1.5 mm, and Ginzburg-Landau k z 100. We give a physical interpretation to the observed phenomena and note the challenges and prospects ahead.

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Section: Relevant Theoretical Studiesmentioning

confidence: 99%

Superconductivity in 4-Angstrom carbon nanotubes—a short review

et al. 2012

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“…[27][28][29] It is worthwhile to recall that each individual carbon nanotube is itself composed by two coupled ͑identical͒ Luttinger liquids, since there is a left and a right branch, respectively, around each of the two Fermi points. 14,18,30 This implies that the critical exponent governing the decay of the correlation functions in these systems is actually one half the exponents defined in Eqs. ͑27͒.…”

Section: ͑19͒mentioning

confidence: 99%

“…Typical metallic nanotubes correspond to armchair ͑10, 10͒ geometry ͑i.e. radius R Ϸ 7 Å͒ with length L ϳ 1 m. The strength of the density-density Coulomb interactions is then 18,30 …”

Section: ͑19͒mentioning

confidence: 99%

Time-dependent evolution of two coupled Luttinger liquids

Perfetto

2006

Phys. Rev. B

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We consider two disconnected Luttinger liquids which are coupled at t = 0 through chiral density-density interactions. Both for t Ͻ 0 and t ജ 0 the system is exactly solvable by means of bosonization and this allows us to evaluate analytically the time dependence of correlation functions. We find that in the long-time limit the critical exponent governing the one-particle correlation function differs from the exponent dictated by the equilibrium ground state of the coupled system. We also discuss how this reflects on some physical quantities which are accessible to real experiments. DOI: 10.1103/PhysRevB.74.205123 PACS number͑s͒: 71.10.Hf, 73.63.Fg, 73.22.Ϫf Time-dependent quantum systems have attracted much attention recently. This is because the dynamical response of nanoscopic devices is now accessible in many experiments with relevance in practical applications such as quantum computing and single-electron transport. 1 On one side we discuss the wide investigation of out-of-equilibrium phenomena in transport experiments, where time-dependent transient currents are measured at picosecond time scales. 2 On the other side, recent experiments in ultracold atoms confined in optical lattices have shown that it is possible to time tune the strength of the interactions in both bosonic 3 and fermionic 4 systems, by using the so-called Feshbach resonance. In these cases, the intriguing question arises: what is the steady state to which the initial ground state relaxes to? 5,6 In light of this challenging physics, the theoretical investigation of the time-dependent evolution of many-body interacting system deserves special attention. Recently, an exact formulation of time-dependent transport in electronic systems 7 was derived in the framework of time-dependentdensity-functional theory. 8 Unfortunately, its implementation to strongly interacting systems is hard. An efficient numerical tool to address the problem of the electron-electron ͑e -e͒ interactions is the time-dependent density-matrixrenormalization-group method, 9-11 which turns out to have excellent performance in one-dimensional ͑1D͒ systems. For what concerns electronic systems with time-dependent parameters but not involving charge transport, in a recent paper Cazalilla calculated the exact evolution of a noninteracting 1D system following a sudden switch on of Luttinger liquid e-e interaction. 12 Remarkably, it is found that the initial ground state reaches a stationary state only if the system is infinite sized and its asymptotic behavior differs from that of the interacting equilibrium system. 6 In this paper, we extend this analysis to two coupled interacting 1D systems. Our system consists of two isolated Luttinger liquids which are connected at t = 0 through interactions between chiral electron densities located at different liquids.The Luttinger liquid is the prototype of interacting electrons in 1D and is governed by the so-called TomonagaLuttinger Hamiltonian. In this model, the electrons have a linear dispersion relation around positive ͑righ...

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“…An alternative way of reducing interactions, and one which will work for a CNT of any radius, is through screening by, for example, placing the CNT near a metallic plate or within a CNT bundle. 30,31 Therefore, despite neglecting electron-electron interactions, there are several realistic situations in which Eq. ͑4͒ is a reasonable approximation.…”

Section: The Modelmentioning

confidence: 99%

Electronic properties of carbon nanotubes with distinct bond lengths

Bunder

Hill

2010

Journal of Applied Physics

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In band structure calculations commonly used to derive the electronic properties of carbon nanotubes it is generally assumed that all bond lengths are equal. However, hexagonal carbon lattices are often irregular and may contain as many as three distinct bond lengths. A regular $(n,m)$ carbon nanotube will be metallic if p=(n-m)/3 for integer p. Here we analytically derive the generalized condition for metallic irregular carbon nanotubes. This condition is particularly relevant to small radius nanotubes and nanotubes experiencing small applied strains. In band structure calculations commonly used to derive the electronic properties of carbon nanotubes, it is generally assumed that all bond lengths are equal. However, hexagonal carbon lattices are often irregular and may contain as many as three distinct bond lengths. A regular ͑n , m͒ carbon nanotube will be metallic if p = ͑n − m͒ / 3 for integer p. Here we analytically derive the generalized condition for metallic irregular carbon nanotubes. This condition is particularly relevant to small radius nanotubes and nanotubes experiencing small applied strains.

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

Cited by 31 publications

References 43 publications

Superconductivity in 4-Angstrom carbon nanotubes—a short review

Superconductivity in 4-Angstrom carbon nanotubes—a short review

Time-dependent evolution of two coupled Luttinger liquids

Electronic properties of carbon nanotubes with distinct bond lengths

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