In this paper, we present a Kane-Mele model in the presence of magnetic field and next nearest neighbors hopping amplitudes for investigations the electronic and optical properties of monolayer Germanene. Specially, we address the dynamical conductivity of the structure as a function of photon frequency and in the presence of magnetic field and spin-orbit coupling at finite temperature. Using linear response theory and Green’s function approach, the frequency dependence of optical conductivity has been obtained in the context of Kane-Mele model Hamiltonian. Our results show a finite Drude response at low frequency at non zero value for magnetic field in the presence of spin-orbit coupling. However Drude weight gets remarkable amount in the presence of electron doping. The thermal conductivity and specific heat increase with increasing the temperature at low amounts of temperature due to the increasing of thermal energy of charge carriers and excitation of them to the conduction bands. The results for Seebeck coefficient show the sign of thermopower is negative in the presence of spin-orbit coupling. Also we have studied the temperature dependence of electrical conductivity of Germanene monolayer due to both spin orbit coupling and magnetic field factors in details.

在本文中，我们提出了一种在磁场和下一个相邻邻居跳跃幅度存在的情况下的Kane-Mele模型，用于研究单层锗烯的电子和光学性质。特别是，我们在有限的温度下解决了结构的动态电导率与光子频率的函数关系，以及存在磁场和自旋轨道耦合的情况。利用线性响应理论和格林函数方法，在Kane-Mele模型哈密顿量的背景下获得了光导率的频率依赖性。我们的结果表明，在存在自旋轨道耦合的情况下，磁场在非零值下在低频处具有有限的Drude响应。然而，在存在电子掺杂的情况下，德鲁德的重量变得非常可观。由于电荷载流子的热能的增加以及将其激发到导带上，在低温度下，导热率和比热随温度的升高而增加。Seebeck系数的结果表明，在存在自旋轨道耦合的情况下，热电的符号为负。我们还详细研究了由于自旋轨道耦合和磁场因素而导致的锗烯单层电导率的温度依赖性。