# Dynamics of Electronic States and Magnetoabsorption in 3D Topological Insulators in a Quantizing Magnetic Field

## Abstract

Quantum states have been calculated analytically; the dynamics of a wave packet in a magnetic field has been investigated, and the optical absorption coefficient has been calculated for surface states in 3D topological insulators of the Bi{sub 2}Te{sub 3} family. We have detected a qualitative effect of the hexagonal warping of the spectrum on the structure of wavefunctions at the Landau levels, its manifestation in the features of the wave packet dynamics in a quantizing magnetic field, as well as in the frequency dependence of the optical absorption coefficient, in which new peaks that are absent in the isotropic model of the spectrum appear depending on the polarization of the incident wave. The effects considered here can be manifested in the optical and transport experiments with topological insulators, which makes it possible to determine the parameters of their band structure.

- Authors:

- National Research Lobachevsky State University of Nizhny Novgorod (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22750017

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Experimental and Theoretical Physics

- Additional Journal Information:
- Journal Volume: 126; Journal Issue: 2; Other Information: Copyright (c) 2018 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BISMUTH TELLURIDES; FREQUENCY DEPENDENCE; MAGNETIC FIELDS; OPTICS; QUANTUM STATES; THREE-DIMENSIONAL CALCULATIONS; WAVE FUNCTIONS; WAVE PACKETS

### Citation Formats

```
Turkevich, R. V., and Khomitsky, D. V., E-mail: khomitsky@phys.unn.ru.
```*Dynamics of Electronic States and Magnetoabsorption in 3D Topological Insulators in a Quantizing Magnetic Field*. United States: N. p., 2018.
Web. doi:10.1134/S1063776118020085.

```
Turkevich, R. V., & Khomitsky, D. V., E-mail: khomitsky@phys.unn.ru.
```*Dynamics of Electronic States and Magnetoabsorption in 3D Topological Insulators in a Quantizing Magnetic Field*. United States. doi:10.1134/S1063776118020085.

```
Turkevich, R. V., and Khomitsky, D. V., E-mail: khomitsky@phys.unn.ru. Thu .
"Dynamics of Electronic States and Magnetoabsorption in 3D Topological Insulators in a Quantizing Magnetic Field". United States. doi:10.1134/S1063776118020085.
```

```
@article{osti_22750017,
```

title = {Dynamics of Electronic States and Magnetoabsorption in 3D Topological Insulators in a Quantizing Magnetic Field},

author = {Turkevich, R. V. and Khomitsky, D. V., E-mail: khomitsky@phys.unn.ru},

abstractNote = {Quantum states have been calculated analytically; the dynamics of a wave packet in a magnetic field has been investigated, and the optical absorption coefficient has been calculated for surface states in 3D topological insulators of the Bi{sub 2}Te{sub 3} family. We have detected a qualitative effect of the hexagonal warping of the spectrum on the structure of wavefunctions at the Landau levels, its manifestation in the features of the wave packet dynamics in a quantizing magnetic field, as well as in the frequency dependence of the optical absorption coefficient, in which new peaks that are absent in the isotropic model of the spectrum appear depending on the polarization of the incident wave. The effects considered here can be manifested in the optical and transport experiments with topological insulators, which makes it possible to determine the parameters of their band structure.},

doi = {10.1134/S1063776118020085},

journal = {Journal of Experimental and Theoretical Physics},

issn = {1063-7761},

number = 2,

volume = 126,

place = {United States},

year = {2018},

month = {2}

}