石墨烯晶体管中Dyakonov-Shur不稳定性的流体动力学理论
Hydrodynamic theory of the Dyakonov-Shur instability in graphene transistors
摘要：
我们提出了电流偏置石墨烯晶体管中Dyakonov-Shur（DS）等离子体不稳定性的综合理论。使用流体动力学方法，我们推导出描述在任意值的电子漂移速度在石墨烯中的二维电子流体中的DS不稳定性的方程。这些非线性方程与麦克斯韦方程一起被用于数值分析的空间和时间的演化的石墨烯电子系统后，DS不稳定性是由随机电流波动触发。我们分析的DS不稳定性和石墨烯电子系统的最终定态的属性的发病所需的条件。我们表明，不稳定性的结果在相干的非谐振荡状态的电子流体和计算的空间分布和功率的石墨烯晶体管产生的电磁辐射在DS不稳定制度。
英文摘要：
We present a comprehensive theory of the Dyakonov-Shur (DS) plasma instability in current-biased graphene transistors. Using the hydrodynamic approach, we derive equations describing the DS instability in the two-dimensional electron fluid in graphene at arbitrary values of electron drift velocity. These nonlinear equations together with Maxwell's equations are used for numerical analysis of the spatial and temporal evolution of the graphene electron system after the DS instability is triggered by random current fluctuations. We analyze conditions necessary for the onset of the DS instability and the properties of the final stationary state of the graphene electron system. We demonstrate that the instability results in the coherent anharmonic oscillatory state of the electron fluid and calculate both the spatial distribution and the power of the electromagnetic radiation generated by the graphene transistor in the DS instability regime.
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