Spin splitting at the Fermi level in carbon nanotubes in the absence of a magnetic field

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

doi:10.1140/epjb/e2015-60572-8

Cited by 13 publications

(9 citation statements)

References 27 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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“…[15]) , while the electronic properties near the Fermi level are well described by the massless Dirac equation [16]. The latter has been used in previous works on rotating fullerenes [17,18] and carbon nanotubes [19] to study inertial effects on their low-energy excitations.…”

Section: Introductionmentioning

confidence: 99%

Spin current generation and control in carbon nanotubes by combining rotation and magnetic field

Cunha¹,

Lima²,

Moraes³

et al. 2020

J. Phys.: Condens. Matter

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We study the quantum dynamics of ballistic electrons in rotating carbon nanotubes in the presence of a uniform magnetic field. When the field is parallel to the nanotube axis, the rotation-induced electric field brings about the spin-orbit interaction which, together with the kinetic, inertial, and Zeeman terms, compose the Schrödinger-Pauli Hamiltonian of the system. Full diagonalization of this Hamiltonian yields the eigenstates and eigenenergies leading to the calculation of the charge and spin currents. Our main result is the demonstration that, by suitably combining the applied magnetic field intensity and rotation speed, one can tune one of the currents to zero while keeping the other one finite, giving rise to a spin current generator. arXiv:2001.07024v1 [cond-mat.mes-hall]

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“…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]. In particular, the DE in a rotating frame has several interesting applications, for instance, is applied in physical problems involving spin currents [45,46], Sagnac and Hall effects [47,48], chiral symmetry [49], external magnetic fields [50,51], fullerene molecules [52][53][54], nanotubes and carbon nanocons [55,56], and so on.…”

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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Spin splitting at the Fermi level in carbon nanotubes in the absence of a magnetic field

Cited by 13 publications

References 27 publications

Electronic properties of single and double napped carbon nanocones

Electronic properties of single and double napped carbon nanocones

Spin current generation and control in carbon nanotubes by combining rotation and magnetic field

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

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