Zigzag carbon nanotubes with generic electron-electron interactions

Bunder, J. E.; Hill, James M.

doi:10.1103/physrevb.80.153406

Cited by 7 publications

(2 citation statements)

References 30 publications

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“…The commensurate nature of the RKKY interactions was linked to the bipartiteness of the underlying lattice geometry [11]. In a more recent work [13], this general result was called into question for graphene nanoribbons, due to the presence of zero-mode contributions. In bulk graphene however, these corrections vanish in the thermodynamic limit [13], thus recovering the commensurate form of the interactions in Eq.…”

Section: Introductionmentioning

confidence: 99%

Finite-temperature ordering of dilute graphene antiferromagnets

2010

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We employ large-scale quantum Monte Carlo simulations to study the magnetic ordering transition among dilute magnetic moments randomly localized on the graphene honeycomb lattice, induced by long-ranged RKKY interactions at low charge carrier concentration. In this regime the effective exchange interactions are ferromagnetic within each sublattice, and antiferromagnetic between opposite sublattices, with an overall cubic decay of the interaction strength with the separation between the moments. We verify explicitly, that this commensurability leads to antiferromagnetic order among the magnetic moments below a finite transition temperature in this two-dimensional system. Furthermore, the ordering temperature shows a crossover in its power-law scaling with the moments' dilution from a low-to a high-concentration regime.that pair-wise interactions are ferromagnetic (antiferromagnetic) among the same (different) sublattice on the bipartite honeycomb lattice of graphene.This means for the exchange couplings in Eq.(1), thatwith J > 0 and ǫ ij = −1 (+1) if i and j belong to the same (different) sublattice [10,11]. Here, r i denotes the (random) position of the i-th magnetic moment S i on the honeycomb lattice, which we consider to be spin-1 2

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Section: Introductionmentioning

confidence: 99%

Finite-temperature ordering of dilute graphene antiferromagnets

2010

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“…We will be using the band-to-band tight binding transition model for the carbon nanotube. This has proven itself to be very effective in determining the basic optical properties of nanotubes but does not include effects due to excitons 38 and electron-electron interactions 39 . Such effects give measurable corrections and there have been a few studies considering the exciton absorption strength 17,23,40,41 .…”

Section: Introductionmentioning

confidence: 99%

The Optical Excitation of Zigzag Carbon Nanotubes with Photons Guided in Nanofibers

Dorner¹,

Jaksch²

2011

Preprint

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We consider the excitation of electrons in semiconducting carbon nanotubes by photons from the evanescent field created by a subwavelength-diameter optical fiber. The strongly changing evanescent field of such nanofibers requires dropping the dipole approximation. We show that this leads to novel effects, especially a high dependence of the photon absorption on the relative orientation and geometry of the nanotube-nanofiber setup in the optical and near infrared domain.In particular, we calculate photon absorption probabilities for a straight nanotube and nanofiber depending on their relative angle. Nanotubes orthogonal to the fiber are found to perform much better than parallel nanotubes when they are short. As the nanotube gets longer the absorption of parallel nanotubes is found to exceed the orthogonal nanotubes and approach 100% for extremely long nanotubes. In addition, we show that if the nanotube is wrapped around the fiber in an appropriate way the absorption is enhanced. We find that optical and near infrared photons could be converted to excitations with efficiencies that may exceed 90%. This may provide opportunities for future photodetectors and we discuss possible setups.

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Investigation of the electronic structure of biphenylene ribbons of the armchair type

Mironov

2023

Physica B: Condensed Matter

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Zigzag carbon nanotubes with generic electron-electron interactions

Cited by 7 publications

References 30 publications

Finite-temperature ordering of dilute graphene antiferromagnets

Finite-temperature ordering of dilute graphene antiferromagnets

The Optical Excitation of Zigzag Carbon Nanotubes with Photons Guided in Nanofibers

Investigation of the electronic structure of biphenylene ribbons of the armchair type

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