论文标题
在交叉电场和磁场的相互作用下，石墨烯的相干状态
Coherent states for graphene under the interaction of crossed electric and magnetic fields
论文作者
论文摘要
我们在浸入交叉外部电场和磁场的石墨烯层中构建了连贯的荷兰载体。为此，我们在类似Landau的仪表中求解Dirac-Weyl方程，以避免应用特殊相对论的技术，因此我们确定了与系统相关的适当上升和降低操作员。我们将相干状态明确构建为具有复杂特征值的矩阵歼灭操作员的特征状态。为了描述这两个磁场对这些状态的影响，我们获得了概率和当前密度，海森堡的不确定性关系和平均能量作为参数$β= c \，\ Mathcal {e}/（v _ {v _ {\ rm f} b）b）$的函数。特别是，研究了这些数量的磁场和电场附近的磁场和电场倒塌的状况（$β\ rightarrow1 $）。
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 rising 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 $β=c\,\mathcal{E}/(v_{\rm F}B)$. In particular, these quantities are investigated for magnetic and electric fields near the condition of the Landau levels collapse ($β\rightarrow1$).
