Effects of rotation in the energy spectrum of C60

Lima, Jonas R.F.; Brandão, Julio; Cunha, Márcio M.; Moraes, Fernando

doi:10.1140/epjd/e2014-40570-4

Cited by 29 publications

(25 citation statements)

References 30 publications

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“…This model was first proposed in Ref. [29] to investigate the electronic structure of fullerenes, and has been widely used to describe carbon-based nanostructures [19,30,31,32].…”

Section: The Continuum Model For a Double Carbon Nanoconementioning

confidence: 99%

Electronic properties of single and double napped carbon nanocones

et al. 2019

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In this paper we study the electronic properties of carbon nanocones with one and two nappes, with pentagonal and heptagonal defects in their lattices. We use the continuum model, which is based on a Dirac-like Hamiltonian with the topological defects described by localized non-Abelian gauge field fluxes. We develop a geometrical approach that can describe the two nappes of the double cone surface simultaneously, by extending the radial coordinate to the complete set of real numbers. We show that, for some combinations of different nanocones, forming the double conical surface, the local density of states near the apex of the cone does not vanish at the Fermi energy and presents a strong dependence on the angular momentum. We also obtain the energy spectrum for finite-sized nanocones and verify that it depends on the choice of topological defect on the surface, which suggests that a double nanocone can be used to control the electronic transport in carbon-based electronic devices.

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“…This model was first proposed in Ref. [29] to investigate the electronic structure of fullerenes, and has been widely used to describe carbon-based nanostructures [19,30,31,32].…”

Section: The Continuum Model For a Double Carbon Nanoconementioning

confidence: 99%

Electronic properties of single and double napped carbon nanocones

et al. 2019

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“…An increase in the chaotic rotation of C 60 molecules due to the thermal excitation of the rotational degrees of freedom paradoxically provides higher stability of the face-centered cubic structure [34]. The rapid rotation of molecules in fullerite changes their energy electronic states without the presence of a magnetic field [35]. The rotational motion of the C 60 molecule can be used to reduce the external force due to the redistribution of the load on the group of atoms belonging to the fullerene, as well as due to the gyroscopic effect [36][37][38][39][40][41], which increases the stability of the entire molecular system.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Interaction between Kr+ Ion and Rotating C60 Fullerene towards for Nanoarchitectonics of Fullerene Materials

et al. 2021

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Dynamics of charged fullerene in a surface layer of fullerite is studied under the influence of neutral or charged particles of the gas phase surrounding the fullerite material. The translational displacements of the nodes of the crystal lattice structure are determined by the equations of motion of the centers of mass of fullerenes. Central fullerene, which is described as a discrete set of sixty carbon atoms, plays a special role in the presented mathematical model. Angular oscillations and rotations of the central fullerene are described by the dynamic Euler equations. All other fullerenes have a centrally symmetric field of the potential of interaction with the surrounding atoms and molecules. In this regard, we use the hybrid discrete–continuous mathematical model with four potentials that describe the interactions between the surrounding fullerenes, smoothed fullerene and an atom, a pair of atoms, and electric charges. The results of a numerical study of influence of the Coulomb interaction on the rotational and translational motion of the C60 fullerene are presented.

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“…On the other hand, the study of noninertial effects due to rotating frames have been widely investigated in the literature since to 1910 decade [27], where the best-known effects are the Sagnac [28], Barnett [29], Einstein-de Hass [30] and Mashhoon [31] effects. In the last years, nonineral effects have also been investigated in some condensed matter systems, such as in the quantum Hall effect [32,33], Bose-Einstein condensates [34,35], fullerene molecules [36,37], and in atomic gases [38,39]. In addition, the study of noninertial effects in relativistic quantum systems also gained relevance and focus of investigations in recent years [40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect

Oliveira

2019

Eur. Phys. J. C

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In the present paper, we investigate the influence of topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov-Casher effect. Next, we determine the two-component Dirac spinor and the relativistic energy spectrum for the bound states. We observe that this spinor is written in terms of the confluent hypergeometric functions and this spectrum explicitly depends on the quantum numbers n and m l , parameters s and η associated to the topological and spin effects, quantum phase Φ AC , and of the angular velocity Ω associated to the noninertial effects of a rotating frame. In the nonrelativistic limit, we obtain the quantum harmonic oscillator with two types of couplings: the spin-orbit coupling and the spin-rotation coupling. We note that the relativistic and nonrelativistic spectra grow in absolute values as functions of η, Ω, and Φ AC and its periodicities are broken due to the rotating frame. Finally, we compared our problem with other works, where we verified that our results generalizes some particular planar cases of the literature.

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Effects of rotation in the energy spectrum of C60

Cited by 29 publications

References 30 publications

Electronic properties of single and double napped carbon nanocones

Electronic properties of single and double napped carbon nanocones

Numerical Simulation of Interaction between Kr+ Ion and Rotating C60 Fullerene towards for Nanoarchitectonics of Fullerene Materials

Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect

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