Landau levels and different magnetic-field-driven dynamics of electrons in 2D materials

D. Morais and W.S. Dias

Physica A: Statistical Mechanics and its Applications, 2024, vol. 643, issue C

Abstract: We studied an electron in two-dimensional lattices subjected to a constant magnetic field. Both square and honeycomb lattices were explored to examine the dynamic properties of the particle. By employing lattice discretization and the magnetic-field influence, Schrödinger equations were formulated for both lattices. Through the time evolution of a particle initially at rest, we identified distinct regimes characterized by breathing dynamics or stationary behavior of the wave packet. Systematic evaluations involving different magnetic field strengths and initial wave packets demonstrated a correspondence between these steady-state regimes and the eigenfunctions of the lowest Landau levels. Furthermore, the imposition of an initial momentum on the particle resulted in cyclotron dynamics, with measurements of orbital radius and frequency in full agreement with the semi-classical approach. Such dynamics give way to nearly regular oscillations or more complex dynamics as we significantly deviate from the Γ point. Additionally, dynamical regimes characterized by vortices and interference patterns are identified, revealing unique features of the lattices.

Keywords: Two-dimensional lattices; Magnetic field; Ciclotron frequency; Graphene; Honeycomb; Peierls phase (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437124003340
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:643:y:2024:i:c:s0378437124003340

DOI: 10.1016/j.physa.2024.129825

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().