论文标题
部分可观测时空混沌系统的无模型预测
2D $\rm\bf {Be_{3}B_{2}C_{3}}$:a stable direct-bandgap semiconductor with record-breaking carrier mobility, $\rm\bf 8.1 \times 10^{5} cm^{2}V^{-1}s^{-1}$
论文作者
论文摘要
储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。
The Moore's law in the semiconducting industry has faltered as the three-dimensional (3D) Si-based transistors has approached their physical limit with the downscaling. The carrier mobility $\rm μ$, critical to the device's performance, will be degraded when the thickness of Si is scaled into several nanometers. In contrast to the bulk counterpart, two-dimensional (2D) semiconductors can be scaled into atomic-layer thickness without dangling bonds, maintaining its intrinsic carrier mobility and going beyond the limits of Si-based electronics. Hence, the development of novel 2D semiconducting materials with high carrier mobility is the market demand as well as the scientific challenge. Here, we successfully designed 2D $\rm {Be_{3}B_{2}C_{3}}$ with planar hypercoordinate motif. It possesses the perfect planar skeleton with both pentacoordinate carbon and hexacoordinate boron moieties, which is the first reported material with such multi-hypercoordinate centers. Density functional theory (DFT) calculations prove that the $\rm {Be_{3}B_{2}C_{3}}$ monolayer has excellent structural and thermal stabilities as well as mechanical properties. Further investigations reveal that the $\rm {Be_{3}B_{2}C_{3}}$ monolayer has a strong ultrahigh Fermi velocity ($\rm 2.7 \times 10^{5} m/s$), suitable direct bandgap (1.97 eV), and high optical absorption coefficient ($\rm 10^{5}$). As a result, an unprecedented ultrahigh room-temperature carrier mobility ($\rm 8.1 \times 10^{5} cm^{2}V^{-1}s^{-1}$) with strong anisotropy is discovered, making $\rm {Be_{3}B_{2}C_{3}}$ monolayer a revolutionary candidate for future electronic and photovoltaic applications.