2020/07/05 by David J. Fernández C., C., David J. Fernández, Dennis I. Martínez-Moreno +1 · 1 citation
Decision Sciences · Materials Science · #Electron and X-Ray Spectroscopy Techniques #FOS: Physical sciences #Graphene research and applications #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Probabilistic and Robust Engineering Design #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2007.02229
openalex publication_date 2020/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we consider the interaction of electrons in bilayer graphene with a constant homogeneous magnetic field which is orthogonal to the bilayer surface. Departing from the energy eigenstates of the effective Hamiltonian, the corresponding coherent states will be constructed. For doing this, first we will determine appropriate creation and annihilation operators in order to subsequently derive the coherent states as eigenstates of the annihilation operator with complex eigenvalue. Then, we will calculate some physical quantities, as the Heisenberg uncertainty relation, the probabilities and current density as well as the mean energy value. Finally, we will explore the time evolution for these states and we will compare it with the corresponding evolution for monolayer graphene coherent states.