二维材料中迁移率精准高效计算指南
Guidelines for accurate and efficient calculations of mobilities in two-dimensional materials
AI总结:
本研究针对二维材料载流子迁移率从头算结果存在矛盾的问题,系统探究赝势、四极校正等因素对III-V族单层材料迁移率的影响,提出兼顾精度与成本的计算方案,为二维半导体迁移率计算提供指南。
摘要:
新兴二维(2D)材料为电子应用带来了前所未有的机遇。高性能器件的设计需要精准预测二维材料中的载流子迁移率,这可通过最先进的ab initio(从头算)方法计算得到。然而,多种因素会影响计算精度,导致迁移率的估算结果存在矛盾。本研究以实现精准高效的ab initio计算为目标,采用玻尔兹曼输运方程报道了III-V族单层材料的输运性质,并系统研究了赝势、四极校正、Berry联络以及自旋轨道耦合(SOC)对迁移率的影响。我们的研究结果如下:(1)赝势中包含半芯态对于获得精准计算结果十分重要。(2)处理长程场时,动力学四极项和Berry联络引发的迁移率变化分别可达40%和10%。(3)对于具有多峰能带的材料,SOC的影响可高达100%。重要的是,尽管SOC会显著改变电子波函数,但它对动力学矩阵和散射势变化的影响可忽略不计。因此,将完全相对论电子计算与标量相对论声子计算相结合,能够在精度和计算成本之间取得良好平衡。本研究对计算方法进行了对比,为二维半导体中迁移率的精准高效计算提供了指导准则。
英文摘要:
Emerging two-dimensional (2D) materials bring unprecedented opportunities for electronic applications. The design of high-performance devices requires an accurate prediction of carrier mobility in 2D materials, which can be obtained using state-of-the-art $ab~initio$ calculations. However, various factors impact the computational accuracy, leading to contradictory estimations for the mobility. In this work, targeting accurate and efficient $ab~initio$ calculations, transport properties in III-V monolayers are reported using the Boltzmann transport equation, and the influences of pseudopotential, quadrupole correction, Berry connection, and spin-orbit coupling (SOC) on mobilities are systematically investigated. Our findings are as follows: (1) The inclusion of semi-core states in pseudopotentials is important to obtain accurate calculations. (2) The variations induced by dynamical quadrupole and Berry connection when treating long range fields can be respectively 40% and 10%. (3) The impact of SOC can reach up to 100% for materials with multi-peak bands. Importantly, although SOC notably modifies the electronic wavefunctions, it negligibly impacts the dynamical matrices and scattering potential variations. As a result, the combination of fully-relativistic electron calculation and scalar-relativistic phonon calculation can strike a good balance between accuracy and cost. This work compares computational methodologies, providing guidelines for accurate and efficient calculations of mobilities in 2D semiconductors.
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