TY - JOUR
T1 - Coherent states for graphene under the interaction of crossed electric and magnetic fields
AU - Castillo-Celeita, M.
AU - Díaz-Bautista, E.
AU - Oliva-Leyva, M.
N1 - Publisher Copyright:
© 2020 Elsevier Inc.
PY - 2020/10
Y1 - 2020/10
N2 - 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 β=cE∕(vFB). In particular, these quantities are investigated for magnetic and electric fields near the condition of the Landau levels collapse (β→1).
AB - 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 β=cE∕(vFB). In particular, these quantities are investigated for magnetic and electric fields near the condition of the Landau levels collapse (β→1).
KW - Coherent state
KW - Graphene
KW - Landau levels collapse
KW - Two-dimensional Dirac material
UR - http://www.scopus.com/inward/record.url?scp=85089821285&partnerID=8YFLogxK
U2 - 10.1016/j.aop.2020.168287
DO - 10.1016/j.aop.2020.168287
M3 - Artículo
AN - SCOPUS:85089821285
SN - 0003-4916
VL - 421
JO - Annals of Physics
JF - Annals of Physics
M1 - 168287
ER -