Effective-Mass Theory of Electron Correlations in Band Structure of Semiconducting Carbon Nanotubes

Sakai, Hideaki; Suzuura, Hidekatsu; Ando, Tsuneya

doi:10.1143/jpsj.72.1698

Cited by 40 publications

(31 citation statements)

References 36 publications

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“…The difference in the self-energy of the conduction and valence bands depends on the cutoff energy logarithmically, but is essentially independent of the parameter c as long as the cutoff function decays smoothly but rapidly enough. 76,77) The appropriate value of " c is the half of the band width $3 0 . As a result the self-energy shift has an extra weak logarithmic dependence on the diameter / lnðL=aÞ in addition to the universal L À1 scaling.…”

Section: Excitonmentioning

confidence: 99%

Environment Effects on Excitons in Semiconducting Carbon Nanotubes

Ando

2010

J. Phys. Soc. Jpn.

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Effects of environmental dielectric screening on excitons in carbon nanotubes are studied within a k Á p scheme and a continuum model. They are shown to be sensitive to the effective distance between the nanotube and the dielectric medium relative to the diameter. For material surrounding the nanotube, the band gap decreases with the increase of the dielectric constant, but the energy of the ground exciton exhibits only a slight decrease for effective distance comparable to interlayer spacing of bulk graphite. The binding energy of excited exciton states disappears rapidly. For dielectric material inside the nanotube, effects are much weaker and excited exciton states remain as bound states even for very large dielectric constant.

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Section: Excitonmentioning

confidence: 99%

Environment Effects on Excitons in Semiconducting Carbon Nanotubes

Ando

2010

J. Phys. Soc. Jpn.

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“…The band gap energy in the dynamic screening is almost same as that in the static screening. The fact that the band gap is insensitive to dynamic effects has already been presented [2,9]. In contrast, the exciton energy in the dynamic screening largely deviates from that in the static screening and is always laid on the lower energy side.…”

Section: Numerical Resultsmentioning

confidence: 83%

“…where m (q, ω) is the dielectric function, which is evaluated without the plasmon pole approximation [2,9], and δ is a positive infinitesimal. The band gap renormalization defined by the difference of the self-energies at k = 0, or ∆Σ n,k = Σ +,n,k − Σ −,n,k , is given by…”

Section: Model and Methodsmentioning

confidence: 99%

Effects of Dynamic Screening on Excitons in Metallic Carbon Nanotubes

Tomio¹,

Suzuura²

2015

Proceedings of the International Symposium “Nanoscience and Quantum Physics 2012” (nanoPHYS’12)

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Excitonic effects and the absorption spectra of metallic carbon nanotubes are studied in an effectivemass scheme by taking dynamic screening into consideration. The result shows that the dynamic screening makes the excitons in metallic carbon nanotubes more stable than the static screening neglecting the retardation in the screening of Coulomb interaction. The dynamic screening effect appears only in the exciton states and it is hardly seen in continuum states.

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“…The Coulomb interaction is scaled by the tube dielectric constant, r . The value of this constant is unknown but, typically, 1 < r < 7 is assumed [5]. Here, we choose r = 6.…”

Section: Comparison Between Harmonic and Hard Wall Confinementmentioning

confidence: 99%

A semiconducting nanotube quantumdot: effect of the form of the confinement potential

Roy

Maksym

2006

Phys. Status Solidi (c)

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The states of a few (2-6) interacting electrons in a semiconducting carbon nanotube quantum dot are investigated for two extremes of the quantum dot confinement potential: harmonic and hard wall. The interacting electron states are calculated by exact diagonalisation of a single band, effective mass Hamiltonian, then the quantum dot addition energies and few particle densities are compared for the two types of confinement. By changing the harmonic confinement strength the system can be driven between the strongly and weakly correlated regimes, whereas for hard wall confinement the electrons are almost always strongly correlated. With hard wall or weak harmonic confinement the electrons localise and form Wigner crystal-like states.Copyright line will be provided by the publisher 1 Introduction. Semiconducting nanotube (NT) quantum dots are technologically important. Recent advances include the first measurement of the addition energy of a semiconducting NT quantum dot [1] and the fabrication of a room temperature single electron transistor (SET) based on a semiconducting NT quantum dot [2]. However, although these novel 1D artificial atoms are important, their physics is not well understood. One of the major problems is that the nature of the quantum dot confinement potential is unknown and we address this problem here. We describe an effective mass approach for calculating the states of a few interacting electrons in a NT quantum dot and investigate the effect of the confinement potential on the dot addition energy.We are interested in quantum dots similar to the dot in the NT SET device studied by Jarillo-Herrero et

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Effective-Mass Theory of Electron Correlations in Band Structure of Semiconducting Carbon Nanotubes

Cited by 40 publications

References 36 publications

Environment Effects on Excitons in Semiconducting Carbon Nanotubes

Environment Effects on Excitons in Semiconducting Carbon Nanotubes

Effects of Dynamic Screening on Excitons in Metallic Carbon Nanotubes

A semiconducting nanotube quantumdot: effect of the form of the confinement potential

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