English

Monolayer phosphorene under time-dependent magnetic field

Materials Science 2018-01-17 v1 Mesoscale and Nanoscale Physics

Abstract

We obtain the exact wave function of a monolayer phosphorene under a low- intensity time-dependent magnetic field using the dynamical invariant method. We calculate the quantum-mechanical energy expectation value and the transition probability for a constant and an oscillatory magnetic field. For the former we observe that the Landau level energy varies linearly with the quantum numbers n and m and the magnetic field intensity B_0. No transition takes place. For the latter, we observe that the energy oscillates in time, increasing linearly with the Landau level n and m and nonlinearly with the magnetic field. The (k,l) to (n,m) transitions take place only for l=m. We investigate the (0,0) to (n,0) and (1,l) and (2,l) probability transitions.

Keywords

Cite

@article{arxiv.1709.10188,
  title  = {Monolayer phosphorene under time-dependent magnetic field},
  author = {J. P. G. Nascimento and V. Aguiar and I. Guedes},
  journal= {arXiv preprint arXiv:1709.10188},
  year   = {2018}
}

Comments

19 pages, 3 figures

R2 v1 2026-06-22T21:58:22.322Z