Persistent currents in finite zigzag carbon nanotubes

Chen, Rong-Bin; Lu, B. J.; Tsai, Chin‐Chun; Chang, Che‐Wei; Shyu, Feng–Lin; Lin, Mingyao

doi:10.1016/j.carbon.2004.06.033

Cited by 19 publications

(19 citation statements)

References 19 publications

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“…Due to the recent advances in fabrication techniques, it has become possible to observe this current experimentally [14]- [17] in mesoscopic systems. Such current is also found in carbon nanotube rings [18]- [20]. In these carbon based structures electrons behaves as massless Dirac particles and they require a relativistic description.…”

Section: Introductionmentioning

confidence: 72%

Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current

Ghosh

2013

Advances in Condensed Matter Physics

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The energy and persistent current spectra for a relativistic fermion on a ring is studied in details. The nonlinear nature of persistent current in relativistic regime and its dependence on particle mass and ring radius are analysed thoroughly. For a particular ring radius we find the existence of a critical mass at which the single ring current doesn't depend on the flux. In lower mass regime the total current spectrum shows plateaus at different height which appears periodically. The susceptibility as well shows periodic nature with amplitude depending on particle mass. As we move from higher mass to lower mass regime, we find that the system turns into paramagnetic from diamagnetic. We also show that same behaviour is observed if one vary the radius of the ring for a fixed particle mass. Hence the larger ring will be diamagnetic while the smaller one will be paramagnetic. Finally we propose an experiment to verify our findings. *

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Section: Introductionmentioning

confidence: 72%

Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current

Ghosh

2013

Advances in Condensed Matter Physics

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“…Due to the recent advancement in fabrication techniques, it has now become possible to observe this current experimentally [11,12,13,14] in normal metal rings. Such current is also observed in carbon nanotube rings [15,16,17] in which the low energy spectrum of electrons require a relativistic description. There are a large number of intriguing literatures on the energy levels and PC of relativistic fermions [18,19,20] involving the condensed matter systems like graphene [21,22,23,24,25,26] and topological insulator [27] in which the low energy spectrum is also described by Dirac Hamiltonian.…”

Section: Introductionmentioning

confidence: 69%

Persistent current of relativistic electrons on a Dirac ring in presence of impurities

Ghosh

Saha

2014

Eur. Phys. J. B

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We study the behavior of persistent current of relativistic electrons on a one dimensional ring in presence of attractive/repulsive scattering potentials. In particular, we investigate the persistent current in accordance with the strength as well as the number of the scattering potential. We find that in presence of single scatterer the persistent current becomes smaller in magnitude than the scattering free scenario. This behaviour is similar to the non-relativistic case. Even for a very strong scattering potential, finite amount of persistent current remains for a relativistic ring. In presence of multiple scatterer we observe that the persistent current is maximum when the scatterers are placed uniformly compared to the current averaged over random configurations. However if we increase the number of scatterers, we find that the random averaged current increases with the number of scatterers. The latter behaviour is in contrast to the non-relativistic case.

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“…This phenomenon has been verified by scanning tunnelling microscopy and transport experiments [3][4][5][6][7][8]. Finite CNs also exhibit many interesting physical properties, e.g., electronic structures [9,10], magnetic properties [11,12], and optical excitations [13]. The electronic states have been calculated from the first-principles local-density approximation [2,9,10] and the tight-binding model [11][12][13].…”

Section: Introductionmentioning

confidence: 71%

Electronic structures of finite carbon nanotubes under external fields

Lee¹,

Chen²,

Li³

et al. 2006

J. Phys.: Condens. Matter

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The electronic states of finite carbon nanotubes in the presence of electric and magnetic fields are calculated by the tight-binding model. Electronic properties such as state energy, energy gap, and density of states are mainly determined by the transverse electric field, the magnetic field, the Zeeman splitting, and the nanotube length, as well as the transverse geometric structure. The electric field could induce the destruction of state degeneracy, produce more low-energy states, and lead to significant changes in energy spacing. Complete energy-gap modulations exist during the variation of the electric field. Such effects are enhanced by the magnetic field.

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Persistent currents in finite zigzag carbon nanotubes

Cited by 19 publications

References 19 publications

Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current

Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current

Persistent current of relativistic electrons on a Dirac ring in presence of impurities

Electronic structures of finite carbon nanotubes under external fields

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