• 文献标题:   Coherent states for graphene under the interaction of crossed electric and magnetic fields
  • 文献类型:   Article
  • 作  者:   CASTILLOCELEITA M, DIAZBAUTISTA E, OLIVALEYVA M
  • 作者关键词:   coherent state, graphene, twodimensional dirac material, landau levels collapse
  • 出版物名称:   ANNALS OF PHYSICS
  • ISSN:   0003-4916 EI 1096-035X
  • 通讯作者地址:   CINVESTAV
  • 被引频次:   1
  • DOI:   10.1016/j.aop.2020.168287
  • 出版年:   2020

▎ 摘  要

We construct the coherent states for charge carriers in a graphene layer immersed in crossed external electric and magnetic fields. For that purpose, we solve the Dirac-Weyl equation in a Landau-like gauge avoiding applying techniques of special relativity, and thus we identify the appropriate raising and lowering operators associated to the system. We explicitly construct the coherent states as eigenstates of a matrix annihilation operator with complex eigenvalues. In order to describe the effects of both fields on these states, we obtain the probability and current densities, the Heisenberg uncertainty relation and the mean energy as functions of the parameter beta = c epsilon/(upsilon B-F). In particular, these quantities are investigated for magnetic and electric fields near the condition of the Landau levels collapse (beta -> 1). (C) 2020 Elsevier Inc. All rights reserved.