Quantum transport, spintronics, and strongly correlated states in Dirac materials

寻找新材料并了解其电子和输运特性是现代科学技术的核心任务之一，这决定了它们的应用潜力。在过去的十年里，物理学和材料科学领域最具影响力的突破之一是石墨烯的发现，这是一种单层碳。石墨烯的晶格结构使得这种材料中的电子有效地表现为无质量的狄拉克类粒子，这导致了定性的新量子效应，包括量子输运机制和磁输运现象。人们很快意识到石墨烯不寻常的电子特性，其机械稳健性和二维性质，使其成为某些应用的有吸引力的材料。石墨烯的发现引发了人们对具有狄拉克类色散的二维和三维材料的强烈兴趣，这导致了一类新型材料——狄拉克材料的出现。这类材料包括双层和多层石墨烯，三维拓扑绝缘体，以及最近的Weyl半金属，它可以被视为石墨烯的三维推广，以及其他材料。

Finding new materials and understanding their electronic and transport properties, which determine their potential for applications, is one of the central tasks of modern science and technology. One of the most influential breakthroughs in physics and material science in the past decade has been the discovery of graphene, a monolayer of carbon. The lattice structure of graphene is such that the electrons in this material effectively behave as massless Dirac-like particles, which leads to qualitatively new quantum effects, including quantum transport regimes and magneto-transport phenomena. It was quickly realized that the unusual electronic properties of graphene, its mechanical robustness and two-dimensional nature, make it an attractive material for certain applications. The discovery of graphene triggered an intense interest in two- and three-dimensional materials with Dirac-like dispersion, which led to the emergence of a whole class of novel materials - Dirac materials. This class includes bilayer and multi-layer graphene, three-dimensional topological insulators, and more recently, Weyl semimetals, which can be viewed as 3D generalization of graphene, and others. The main goal of my research program is to develop a theoretical understanding of fundamental quantum effects, transport properties, and collective many-body phenomena arising in various Dirac materials. I will pursue three broad directions: 1) Quantum transport of charge and spin in graphene and its bilayer, topological insulators, and Weyl semimetals. Identifying new spin transport regimes suitable for generating and measuring spin currents. 2) Manipulating electronic and transport properties via adatom deposition and strains. Functionalizing Dirac materials to tailor them for nano-electronics, spintronics, and magnetic device applications. 3) Many-particle quantum systems often form collective states with qualitatively new emergent properties, such as superconductivity. I will find a variety of novel collective states in Dirac materials, including unconventional superconducting states, and non-abelian quantum Hall states.