Electron gas high-frequency conductivity on the surface of a nanotube with superlattice in magnetic field

Ermolaev, A. M.; Rashba, G. I.

doi:10.1016/j.physb.2014.06.016

Cited by 6 publications

(6 citation statements)

References 14 publications

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“…In Ref. [23], the Kubo formula was obtained for the conductivity tensor of an electron gas on the surface of a nanotube with a superlattice in a magnetic field. In the same work, the components of the high-frequency conductivity tensor were calculated in the quantum and quasiclassical cases.…”

Section: Introductionmentioning

confidence: 99%

“…The results of Ref. [23] were used in [24] to obtain spectra of plasma waves in the hydrodynamic approximation on the surface of a semiconductor nanotube with a longitudinal superlattice.…”

Section: Introductionmentioning

confidence: 99%

“…In Refs. [22][23][24], the magnetoplasmons are investigated in nanotubes with a superlattice, but without the influence of umklapp processes. In these papers, a plane wave is used as the basic wave function of longitudinal motion on the tube.…”

Section: Introductionmentioning

confidence: 99%

“…It is assumed that the longitudinal effective mass of an electron is equal to the transverse mass. Thus, the energy of an electron on a tube with a longitudinal tunnel superlattice is [22][23][24]:…”

Section: Introductionmentioning

confidence: 99%

“…This approach is based on the theory of linear response, in which the collective states appear as resonances in the linear response of the gas to an external perturbation [16,28]. We start by considering an electron gas on the surface of a semiconductor nanotube in a longitudinal (along the axis of the tube) uniform magnetic field, initially in thermal equilibrium, which is subsequently perturbed by a weak external field, whose dependence on coordinates and time in a cylindrical coordinate system is represented in the form [22][23][24]:…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

The Effect of Umklapp Processes on Magnetoplasma Waves on the Surface of a Semiconductor Nanotube with a Superlattice

Rashba

2019

Acta Phys. Pol. A

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The spectra of plasma waves in the electron gas on the surface of a semiconductor nanotube with a superlattice in a parallel magnetic field have been studied using the self-consistent field method. The analytical results for the dispersion relation of the plasmon branch are derived in a tight-binding approximation which takes into account the umklapp effects in the superlattice direction. The long-wave intra-and interband magnetoplasmon frequencies in a degenerate electron gas are calculated both in quasiclassical and in quantum limits. In case of a large number of the filled electron levels, associated with the orbital motion of electrons, the magnetoplasmon frequencies exhibit the oscillations, which are similar to the de Haas-van Alphen oscillations upon variation of nanotube parameters and the Aharonov-Bohm oscillations upon variation of the magnetic flux through the nanotube cross-section.

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Section: Introductionmentioning

confidence: 99%

“…The results of Ref. [23] were used in [24] to obtain spectra of plasma waves in the hydrodynamic approximation on the surface of a semiconductor nanotube with a longitudinal superlattice.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The Effect of Umklapp Processes on Magnetoplasma Waves on the Surface of a Semiconductor Nanotube with a Superlattice

Rashba

2019

Acta Phys. Pol. A

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Impurity states of electrons on the surface of a nanotube in a magnetic field

Rashba

2021

Physica E: Low-dimensional Systems and Nanostructures

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Superlattice on the surface of a nanotube

Ermolaev¹,

Rashba

2021

Low Temperature Physics

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The results of theoretical studies of the thermodynamic, kinetic, and high-frequency properties of the electron gas on the surface of a nanotube in a magnetic field in the presence of a longitudinal superlattice are presented. Nano-dimensions of the motion area lead to energy quantization. Its multiply connected structure in the presence of a magnetic field leads to effects that are derived from the Aharonov–Bohm effect. It is shown that the curvature of a nanotube, even in the absence of a magnetic field, causes new macroscopic oscillation effects such as de Haas–van Alphen oscillations, which are associated with the quantization of the transverse electron motion energy and with the root peculiarities of the density of electron states on the nanotube surface. Thermodynamic potentials and heat capacity of the electron gas on the tube are calculated in the gas approximation. The Kubo formula for the conductivity tensor of the electron gas on the nanotube surface is obtained. The Landau damping regions of electromagnetic waves on a tube are determined and the beats are theoretically predicted on the graph of the dependence of conductivity on tube parameters. In the hydrodynamic approximation, the plasma waves on the surface of a semiconductor nanotube with a superlattice are considered. It is shown that optical and acoustic plasmons can propagate along a tube with one kind of carrier. Electron spin waves on the surface of a semiconductor nanotube with a superlattice in a magnetic field are studied. The spectra and areas of collisionless damping of these waves are found. We have shown that the spin wave damping is absent in these areas if the tubes with a degenerate electron gas have small radius.

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Electron gas high-frequency conductivity on the surface of a nanotube with superlattice in magnetic field

Cited by 6 publications

References 14 publications

The Effect of Umklapp Processes on Magnetoplasma Waves on the Surface of a Semiconductor Nanotube with a Superlattice

The Effect of Umklapp Processes on Magnetoplasma Waves on the Surface of a Semiconductor Nanotube with a Superlattice

Impurity states of electrons on the surface of a nanotube in a magnetic field

Superlattice on the surface of a nanotube

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