Lee Juho, Kim Han Seul, Kim Yong-Hoon
School of Electrical Engineering Korea Advanced Institute of Science and Technology (KAIST) Daejeon 34141 Korea.
Present address: National Institute of Supercomputing and Networking Korea Institute of Science and Technology Information (KISTI) Daejeon 34141 Korea.
Adv Sci (Weinh). 2020 Jun 30;7(16):2001038. doi: 10.1002/advs.202001038. eCollection 2020 Aug.
While the Landauer viewpoint constitutes a modern basis to understand nanoscale electronic transport and to realize first-principles implementations of the nonequilibrium Green's function (NEGF) formalism, seeking an alternative picture can be beneficial for the fundamental understanding and practical calculations of quantum transport processes. Herein, introducing a micro-canonical picture that maps the finite-bias quantum transport process to a drain-to-source or multi-electrode optical excitation, the multi-space constrained-search density functional theory (MS-DFT) formalism for first-principles electronic structure and quantum transport calculations is developed. Performing MS-DFT calculations for the benzenedithiolate single-molecule junction, it is shown that MS-DFT and standard DFT-NEGF calculations produce practically equivalent electronic and transmission data. Importantly, the variational convergence of "nonequilibrium total energy" within MS-DFT is demonstrated, which should have significant implications for in operando studies of nanoscale devices. Establishing a viable alternative to the Landauer viewpoint, the developed formalism should provide valuable atomistic information in the development of next-generation nanodevices.
虽然兰道尔观点构成了理解纳米级电子输运以及实现非平衡格林函数(NEGF)形式主义的第一性原理实现的现代基础,但寻求另一种图景对于量子输运过程的基本理解和实际计算可能是有益的。在此,引入一种微正则图景,将有限偏置量子输运过程映射到漏极到源极或多电极光激发,从而发展了用于第一性原理电子结构和量子输运计算的多空间约束搜索密度泛函理论(MS-DFT)形式主义。对苯二硫醇单分子结进行MS-DFT计算表明,MS-DFT和标准DFT-NEGF计算产生了几乎等效的电子和传输数据。重要的是,证明了MS-DFT内“非平衡总能量”的变分收敛,这对于纳米级器件的原位研究应该具有重要意义。所发展的形式主义为兰道尔观点建立了一个可行的替代方案,应该会在下一代纳米器件的开发中提供有价值的原子信息。