Phonon Dispersion and Electron–Phonon Interaction in Peanut-Shaped Fullerene Polymers

Ono, Shota; Shima, Hiroyuki

doi:10.1143/jpsj.80.064704

Cited by 13 publications

(14 citation statements)

References 40 publications

(67 reference statements)

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“…It has been known that mobile electrons whose motion is confined to a two-dimensional, curved thin layer behave differently from those on a conventional flat plane because of an effective electromagnetic field [ 159 , 160 , 161 , 162 , 163 , 164 ] that can affect low-energy excitations of the electrons. Associated variations in the electron-phonon coupling [ 165 ] and phononic transport [ 166 ] through the deformed nano-carbon materials are also interesting and relevant to the physics of radially corrugated MWNTs.…”

Section: Radial Compression Bucklingmentioning

confidence: 99%

Buckling of Carbon Nanotubes: A State of the Art Review

Shima

2011

Materials

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114

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The nonlinear mechanical response of carbon nanotubes, referred to as their “buckling" behavior, is a major topic in the nanotube research community. Buckling means a deformation process in which a large strain beyond a threshold causes an abrupt change in the strain energy vs. deformation profile. Thus far, much effort has been devoted to analysis of the buckling of nanotubes under various loading conditions: compression, bending, torsion, and their certain combinations. Such extensive studies have been motivated by (i) the structural resilience of nanotubes against buckling and (ii) the substantial influence of buckling on their physical properties. In this contribution, I review the dramatic progress in nanotube buckling research during the past few years.

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Section: Radial Compression Bucklingmentioning

confidence: 99%

Buckling of Carbon Nanotubes: A State of the Art Review

Shima

2011

Materials

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114

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“…The remarkable consistency between theory and experiment tells us that the confining potential approach is effective to explore the geometryproperty relations in C60 polymers and possibly other curved nanomaterials. In addition to the shift in the TLL exponent, C60 polymers are expected to have distinct features far from conventional nano-carbons, in view of the electron-phonon interaction 17) and the resulting charge-density-wave states, 18) even though they remain to be verified in experiments.…”

Section: Tll Exponent Shift In C60 Polymersmentioning

confidence: 99%

Geometry-Property Relations in Physics on Curved Surfaces

Shima

2013

Journal of The Surface Science Society of Japan

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Geometric curvature of a low-dimensional host material often leads to drastic changes in physical properties of the system living upon it. In this article, I give a bird's-eye review on the theoretical progresses on the geometry-property relations, i.e., intriguing correlation between geometric curvature and physical property of the material considered. Some differential-geometry-based approaches that are aimed at quantitative description of physical systems confined to curved surfaces are presented.KEYWORDS : Gaussian curvature, quantum transport, liquid crystal, phase transition, foam coarsening 1．Introduction Mathematical notions of "geometry" and "curvature" are becoming commonplace in diverse classes of physics including surface sciences. Profound effects of geometric curvature have manifested not only in Einstein's gravity theory, but also in various lowdimensional materials such as nanocarbon layers, 1,2) liquid crystal films, 3) and cell membranes. 4) In all the systems abovementioned, the underlying geometric curvature is found to affect dominantly the physical properties of the systems.From a theoretical perspective, the body of research has relied on differential geometry, the mathematical discipline that gives a quantitative description of geometry-property relations in physics. In fact, differential geometry allows us to formulate explicitly the effective Hamiltonian of quantum excitations in curved nanomaterials. It also enables us to appreciate beautiful interplay between surface curvature and topological defect configuration in orientationally ordered systems in two dimensions. In particular, geometry-property relations become salient in soft matters that are mechanically deformable ; liquid crystal membranes and monolayered aqueous foam are the cases in point.In this article, I review the up-to-date findings on the geometry-property relations in low-dimensional materials endowed with nonzero surface curvature.Special focus is placed on the following three issues : (ⅰ) anomalous quantum transport in curved nanocarbons, (ⅱ) liquid crystal membranes with curved shape, and (ⅲ) time-evolution of aqueous foam confined within the gap of two curves substrates. Throughout the discussions, we will see that geometric curvature causes a drastic alteration in the nature of the systems, which imply the development of curved-shaped functional materials based on geometry-property relations. 2．Quantum Mechanics on Curved Surfaces 1 Curvature-induced potentialRapid advances in nanotechnology have made it possible to manufacture quasi one-and twodimensional nanostructures with non-flat geometries.5∼8) These experimental achievements arouse renewed interest in the effect of structural geometry on the quantum-mechanical properties.Surprisingly, the quantum mechanics of a particle whose motion is constrained to curved surfaces has been an old but new problem of theoretical physics for more than 50 years. The difficulty arises from operator-ordering ambiguities, 9) which permit multiple consistent quantizations for a ...

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“…An overall agreement between the theory and the experiments is obtained by assuming p ∼ 0.3. The other parameters we used are TA = 220 cm −1 , h = 360 cm −1 , and 2 (0) = 360 K; the first two values were estimated from the phonon model for 1D C 60 polymers, 31 and the last value gives 2 (0)/k B T c = 6 consistent with many CDW compounds. 32 The generality of Eq.…”

Section: B Comparison With Experimental Datamentioning

confidence: 99%

Theory of photoexcited carrier relaxation across the energy gap of phase-ordered materials

2012

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We develop a theory to describe the energy relaxation of photoexcited carriers in low-temperature ordered states with a band-gap opening. Carrier relaxation time τ near and below transition temperature T c is formulated by examining the contributions from different carrier-phonon scatterings to the relaxation rate. Transverse acoustic phonon modes are found to play a crucial role in carrier relaxation; their heat capacity determines the τ divergence near T c . Remarkable agreements with the theory and experimental data on two different materials which exhibit contrasting τ (T ) behaviors are also demonstrated.

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Phonon Dispersion and Electron–Phonon Interaction in Peanut-Shaped Fullerene Polymers

Cited by 13 publications

References 40 publications

Buckling of Carbon Nanotubes: A State of the Art Review

Buckling of Carbon Nanotubes: A State of the Art Review

Geometry-Property Relations in Physics on Curved Surfaces

Theory of photoexcited carrier relaxation across the energy gap of phase-ordered materials

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