# Electronic properties of a Weyl semimetal in crossed magnetic and electric fields

## Abstract

The study of Weyl semimetals is one of the most challenging problems of condensed matter physics. These materials exhibit interesting properties in a magnetic field. In this work, we investigate the Landau bands and the density of states (DOS) oscillations in a Weyl semimetal in crossed magnetic and electric fields. An expression is obtained for the energy spectrum of the system using the following three different methods: an algebraic approach, a Lorentz shift-based approach, and a quasi-classical approach. It is interesting that the energy spectrum calculated in terms of the quasi-classical approach coincides with the spectrum obtained using the microscopic approaches. An electric field is shown to change the Landau bands radically. In addition, the classical motion of a three-dimensional Dirac fermion in crossed fields is studied. In the case of a Dirac spectrum, the longitudinal (with respect to magnetic field) component of momentum (p{sub z} ǁ H) is shown to be an oscillating function of the magnetic field. When the electric field is v⊥H/c, the Landau levels collapse and the motion becomes fully linear in an unusual manner. In this case, the wavefunction of bulk states vanishes and only states with p{sub z} = 0 are retained. An electricmore »

- Authors:

- Russian Academy of Sciences, Amirkhanov Institute of Physics, Dagestan Research Center (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22756281

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Experimental and Theoretical Physics

- Additional Journal Information:
- Journal Volume: 125; Journal Issue: 5; Other Information: Copyright (c) 2017 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; CROSSED FIELDS; DENSITY OF STATES; ELECTRIC FIELDS; ENERGY SPECTRA; MAGNETIC FIELDS; SEMIMETALS; THREE-DIMENSIONAL CALCULATIONS; WAVE FUNCTIONS

### Citation Formats

```
Alisultanov, Z. Z., E-mail: zaur0102@gmail.com.
```*Electronic properties of a Weyl semimetal in crossed magnetic and electric fields*. United States: N. p., 2017.
Web. doi:10.1134/S1063776117110012.

```
Alisultanov, Z. Z., E-mail: zaur0102@gmail.com.
```*Electronic properties of a Weyl semimetal in crossed magnetic and electric fields*. United States. doi:10.1134/S1063776117110012.

```
Alisultanov, Z. Z., E-mail: zaur0102@gmail.com. Wed .
"Electronic properties of a Weyl semimetal in crossed magnetic and electric fields". United States. doi:10.1134/S1063776117110012.
```

```
@article{osti_22756281,
```

title = {Electronic properties of a Weyl semimetal in crossed magnetic and electric fields},

author = {Alisultanov, Z. Z., E-mail: zaur0102@gmail.com},

abstractNote = {The study of Weyl semimetals is one of the most challenging problems of condensed matter physics. These materials exhibit interesting properties in a magnetic field. In this work, we investigate the Landau bands and the density of states (DOS) oscillations in a Weyl semimetal in crossed magnetic and electric fields. An expression is obtained for the energy spectrum of the system using the following three different methods: an algebraic approach, a Lorentz shift-based approach, and a quasi-classical approach. It is interesting that the energy spectrum calculated in terms of the quasi-classical approach coincides with the spectrum obtained using the microscopic approaches. An electric field is shown to change the Landau bands radically. In addition, the classical motion of a three-dimensional Dirac fermion in crossed fields is studied. In the case of a Dirac spectrum, the longitudinal (with respect to magnetic field) component of momentum (p{sub z} ǁ H) is shown to be an oscillating function of the magnetic field. When the electric field is v⊥H/c, the Landau levels collapse and the motion becomes fully linear in an unusual manner. In this case, the wavefunction of bulk states vanishes and only states with p{sub z} = 0 are retained. An electric field affects the character of DOS oscillations. An analytical expression is obtained for the quantum capacitance in crossed fields in the cases of strong and weak electric fields. Thus, an electric field is an additional parameter for adjusting the diamagnetic properties of Weyl semimetals.},

doi = {10.1134/S1063776117110012},

journal = {Journal of Experimental and Theoretical Physics},

issn = {1063-7761},

number = 5,

volume = 125,

place = {United States},

year = {2017},

month = {11}

}