论文标题
在所有场强度的线性极化光线下，各向异性和倾斜的狄拉克材料的浮光光谱
Floquet spectrum for anisotropic and tilted Dirac materials under linearly polarized light at all field intensities
论文作者
论文摘要
各向异性倾斜的DIRAC半学调制中的浮光光谱通过线性极化光调制，通过二维Dirac Hamiltonian的时间依赖性Schrödinger方程的解决方案通过Floquet Theorem来解决。在线性极化波的正常发生率下，对于任意强烈的电磁辐射，获得了时间依赖的波函数和二维狄拉克汉顿型二维汉密尔顿的准谱。我们应用了一组单一变换，以将Schrödinger方程减少到具有复杂系数的普通二阶差山方程。通过对这种微分方程的稳定性分析，在准谱中明显区分了弱和强场状态。在弱电场状态（高于场参数给出的一定阈值）中，频谱主要类似于石墨烯中的自由电子。在强烈的电场状态下，在此阈值以下，频谱突然变得高度各向异性，并且差距开放。例如，我们将结果应用于唯一的特定情况。
The Floquet spectrum in an anisotropic tilted Dirac semimetal modulated by linearly polarized light is addressed through the solution of the time-dependent Schrödinger equation for the two-dimensional Dirac Hamiltonian via the Floquet theorem. The time-dependent wave functions and the quasienergy spectrum of the two-dimensional Dirac Hamiltonian under the normal incidence of linearly polarized waves are obtained for an arbitrarily intense electromagnetic radiation. We applied a set of unitary transformations to reduce the Schrödinger equation to an ordinary second-order differential Hill equation with complex coefficients. Through the stability analysis of this differential equation, the weak and strong field regimes are clearly distinguished in the quasi-spectrum. In the weak electric field regime, above a certain threshold given by the field parameters, the spectrum mostly resembles that of free electrons in graphene. Below this threshold, in the strong electric field regime, the spectrum abruptly becomes highly anisotropic and a gap opens up. As an example, we apply the results to the particular case of borophene.
