Monte Carlo methods are now a definitively well established methods for studying the transport of charges in semiconductors. A lot of drawbacks are however present about the correct reconstruction of the distribution function, which has to be bounded between $0$ and $1$. The standard Ensemble Monte Carlo method is not able to properly include the Pauli exclusion principle and the numerical distribution functions exceed the maximum value. A lot of attempts were made to solve the problem and recently a new DSMC scheme has been developed to overcome the problem. All the improvements are generally based on some approximations or computational techniques involving the distribution function and the scattering terms. Only an attempt was devoted to opportunely change the formulation of the free flight step but there is still a lack in the literature regarding a both theoretical and computational analysis of corrected Monte Carlo methods based on the free flights. In this paper we would like to fulfill such a gap by analyzing deeper the role of the free flight step into a Monte Carlo simulation, its physical properties and the conditions that allow us to preserve the physical consistency of the method.
The Pauli principle and the Monte Carlo Method for charge transport in graphene
尝试包括泡利原理的Monte Carlo方法，也作用于自由飞行步骤，而不仅仅是在每次碰撞结束时进行调查。悬浮单层石墨烯中的电荷输运被认为是测试情况。将所得结果与标准的Ensemble Monte Carlo方法和能正确处理泡利原理的新的直接模拟Monte Carlo算法进行了比较。研究方法的物理方面进行了分析。
Quantum Monte Carlo study of artificial triangular graphene quantum dots
1 Department of Physics, \. I zmir Institute of Technology, 35430, \. I zmir, Türkiye 2 Department of Materials Science；Engineering, \. I zmir Institute of Technology, 35430, \. I zmir, Türkiye
Plasmon excitations in half-filled graphene: A Comparative study between Quantum Monte Carlo and Random Phase Approximation
Institut für Theoretische Physik und Astrophysik, Universität Würzburg（维尔茨堡大学理论与天体物理研究所）；Department of Physics, Faculty of Science, Mahidol University（马希多尔大学理学院物理系）
Monte Carlo Studies of Twisted Bilayer Graphene: Strain and Thermal Fluctuations
Weizmann Institute of Science（魏茨曼科学研究所）；Max Planck Institute for the Physics of Complex Systems（马克斯·普朗克复杂系统物理研究所）；Massachusetts Institute of Technology（麻省理工学院）；Harvard University（哈佛大学）；University of Illinois at Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校）；Korea Institute for Advanced Study（韩国高等研究院）；University of California Santa Barbara（加州大学圣塔芭芭拉分校）
