Enhanced cohesion of matter on a cylindrical surface

Kostov, Milen K.; Cole, Milton W.; Mahan, G. D.; Carraro, Carlo; Glasser, M. L.

doi:10.1103/physrevb.67.075403

Cited by 11 publications

(11 citation statements)

References 33 publications

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“…2 In particular, the energy released by the atoms captured by the bundle or their binding depends on the geometry, e.g., when an atom is constrained to move on the nanotube surface of radius of few angstroms, its cohesion is enhanced as has been shown in Ref. 3.…”

Section: Introductionmentioning

confidence: 89%

Nearly-free-electron effective model for conducting nanotubes

2009

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We study a nonrelativistic quantum-field-theory model of a many-fermion system on a small cylindrical surface. An attractive contact effective two-body interaction is assumed to permit binding of fermions on the surface. We treat the many-fermion system within mean-field thermodynamics. A self-consistent Hartree-Fock calculation is performed and the total energy, pressure, and chemical potential are investigated in a thermodynamically consistent way. The model is applied to study the electronic properties of metallic single-walled nanotubes ͑SWNTs͒. We derive an analytical relation for the single-particle energy separation between two consecutive spikes provoked by Van Hove singularities in the density of states. We also found that the effective electron-electron interaction is necessary to reproduce the experimental fluctuation of the work function as a function of the diameter of SWNTs. The experimental distribution of the work functions with radius presents a nontrivial left-right asymmetry around the peak value that is reproduced by the model. Also, for SWNTs with radius smaller than 2 Å, the model gives a work function that increases linearly with 1 / R.

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Section: Introductionmentioning

confidence: 89%

Nearly-free-electron effective model for conducting nanotubes

2009

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“…Indeed, there is an observation that a SCWNT with R = 2 Å has superconducting properties30, 31. As an example of its unique property, when an atom is constrained to move on the nanotube surface of small R , its cohesion is enhanced32. Two‐body bound‐state systems also exist in SWCNT.…”

Section: Introductionmentioning

confidence: 99%

Dimensional compactification and two‐particle binding

Delfino

Timóteo

Frederico

et al. 2011

Int J of Quantum Chemistry

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ABSTRACT:The renormalization group equations (RGE) are applied to the study of two-body singular interactions at the surface of an infinite long cylinder with a radius R. A single scale, independent of R, emerges from the renormalization procedure of removing the ultraviolet momentum divergence of the original interacting Green's function. This single scale implies in a R-dependent binding energy, which is obtained from the pole of the Green's function. The binding is infinitely large in the limit R = 0, while as R goes to infinity it converges to the well-known two-dimensional (2D) result in flat space. The physical scale is controlled by the energy binding value on the 2D flat surface. By exploring the effect of space dimensions D, from D = 1 to D = 3, in the physics and scales, it is also shown that by decreasing the dimensionality one favors the two-body binding.

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“…Figure 1 presents the exact and variational energies for the various He cases. There is seen to be a maximum binding energy of order 1 to 2 K, with specific values 1.97 K, 1.38 K and 0.88 K for the sequence 4 He -4 He, 3 He -4 He and 3 He -3 He, respectively. This trend manifests the expected decrease of binding energy with increasing Λ * ; a similar behavior was reported by Kilić et al for dimers confined to either flat surfaces or to the interior of an spherical cavity 7,8 .…”

Section: Ground State Energies and Wave Functionsmentioning

confidence: 99%

“…We have determined the ground state energy (-E B ) for this problem in two ways, variational and exact, for a number of different systems, including 3 He -3 He, 3 He -4 He and 4 He -4 He, as well as H 2 -H 2 . An interesting question is this: what ratio of R/σ gives the largest binding energy E B .…”

Section: Ground State Energies and Wave Functionsmentioning

confidence: 99%

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Bound State of Dimers on a Spherical Surface

Kostov

Hernández²,

Cole³

2004

Journal of Low Temperature Physics

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The study of particle motion on spherical surfaces is relevant to adsorption on buckyballs and other solid particles. This paper reports results for the binding energy of such dimers, consisting of two light particles (He atoms or hydrogen molecules) constrained to move on a spherical surface. The binding energy reaches a particularly large value when the radius of the sphere is about 3/4 of the particles' diameter.

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Enhanced cohesion of matter on a cylindrical surface

Cited by 11 publications

References 33 publications

Nearly-free-electron effective model for conducting nanotubes

Nearly-free-electron effective model for conducting nanotubes

Dimensional compactification and two‐particle binding

Bound State of Dimers on a Spherical Surface

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