Electromagnetic Waves in Metals in a Magnetic Field

Kaner, É. A.; Skobov, V. G.

doi:10.1070/pu1967v009n04abeh003005

Cited by 23 publications

(22 citation statements)

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“…Electromagnetic collective excitations play an important role in various plasmas [1][2][3][4] including relativistic ones. The latter are usually studied in the context of the early universe [5,6], the relativistic heavy-ion collisions [7,8], and the degenerate states of dense matter in compact stars [9].…”

Section: Introductionmentioning

confidence: 99%

Pseudomagnetic helicons

et al. 2017

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The existence of pseudomagnetic helicons is predicted for strained Dirac and Weyl materials. The corresponding collective modes are reminiscent of the usual helicons in metals in strong magnetic fields but can exist even without a magnetic field due to a strain-induced background pseudomagnetic field. The properties of both pseudomagnetic and magnetic helicons are investigated in Weyl matter using the formalism of the consistent chiral kinetic theory. It is argued that the helicon dispersion relations are affected by the electric and chiral chemical potentials, the chiral shift, and the energy separation between the Weyl nodes. The effects of multiple pairs of Weyl nodes are also discussed. A simple setup for experimental detection of pseudomagnetic helicons is proposed.

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Section: Introductionmentioning

confidence: 99%

Pseudomagnetic helicons

et al. 2017

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“…The minimum of the split-off is found in the region of intermediate strengths of the field. As in the bulk conductors [8], the local levels influence the components of tensor of high-frequency permittivity of electrons, and they can manifest themselves in experiments on the electromagnetic radiation absorption in quantum dots.…”

Section: Resultsmentioning

confidence: 99%

Section: Pacsmentioning

confidence: 99%

“…As in the bulk conductors [8], the residues describe, in particular, the forces of oscillators of the resonant optical transitions of electrons between levels (2) and local levels.…”

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“…On the other hand, the impurities influence the energy spectrum of the system thereby leading to the appearance of local and resonant levels in the energy spectrum of quasi-particles [2][3][4]. These levels exert a profound influence on the properties of solids [2][3][4][5][6][7][8][9].In this work, we present the results of a theoretical study made on the local states of electrons in quantum dots in a quantizing magnetic field using the method of degenerate regular perturbations [2]. We shall use the model of a parabolic quantum dot [1] based on 2D electron gas with the confinement potential …”

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Impurity states of electrons in quantum dots in external magnetic fields

Ermolaev

Rashba

2008

Eur. Phys. J. B

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The influence of isolated impurity atoms on the electron energy spectrum in a parabolic quantum dot in quantizing magnetic field is studied. The impurity potential is approximated by a Gaussian separable operator which allows one to obtain the exact solution of the problem. We demonstrate that in the electron energy spectrum there is a set of local levels which are split from the Landau zone boundaries in the upward or downward direction depending on the impurity type. We have calculated the local level positions, the wave functions of electrons in bound states, and the residues of the electron scattering amplitudes by impurity atoms at the poles. PACS:73.21.La, 71.70.Di, 71.55.-i Keywords: impurity atoms, quantum dots, impurity states, local levels, residues of the electron scattering amplitudes Physicists and technologists are interested in quantum dots [1] for a number of reasons, the main one of which is that they are functional elements of modern devices and electronic gadgets. This interest has intensified since experimentalists learnt how to synthesize these nanosystems in laboratories. For theorists, quantum dots are of interest because they are convenient objects to test new calculation methods. Of particular interest are properties of the quantum dots with impurity atoms in a magnetic field. Due to a small number of electrons in the quantum dot even a single impurity atom influences strongly its properties. Within a limited volume of the quantum dot in a magnetic field, interesting phenomena become present like hybridization of spatial and magnetic quantization of the electron's motion. The electron localization on individual impurity atoms considered here is one of such phenomena.The impurities in bulk-and nanosystems play a double role. On the one hand, they determine the low-temperature behaviour of the kinetic characteristics of a system. On the other hand, the impurities influence the energy spectrum of the system thereby leading to the appearance of local and resonant levels in the energy spectrum of quasi-particles [2][3][4]. These levels exert a profound influence on the properties of solids [2][3][4][5][6][7][8][9].In this work, we present the results of a theoretical study made on the local states of electrons in quantum dots in a quantizing magnetic field using the method of degenerate regular perturbations [2]. We shall use the model of a parabolic quantum dot [1] based on 2D electron gas with the confinement potential

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