自旋电子学的目标是实现基于电子自旋而不是电子电荷的新型电子学器件，其中一个特别有希望的方案是基于局域自旋，例如量子点、磁离子等，通过非磁场的（电学的或力学的）手段来实现局域自旋之间的调控。RKKY相互作用是局域自旋之间通过载流子为媒介的间接交换相互作用，我们可以利用电学或力学手段调控载流子，并进而利用RKKY机制调控局域自旋。这样，寻找RKKY相互作用在不同的量子受限结构和不同的材料中的可调参数与有效相互作用形式就成为亟待解决的任务。本项目拟应用非平衡场论的Keldysh技术、规范无关的图论技术以及其他方法，从理论上研究石墨烯和拓扑绝缘体中的磁相互作用，澄清电学调控与力学调控的磁性的相关机制并进一步探索其可能的应用，研究与调控相关的若干元激发，如等离激元、等离极化子、电声子束缚态等。本项目将澄清磁性的非磁场控制的物理原理，并将丰富对石墨烯、拓扑绝缘体上电子性质与磁性的认识。

The aid of spintronics is to implementing the new electronic devices based on spins rather than charges. One of the most promising implementation is the manipulation upon local spins, e.g. quantum dots, magnetic ions, via electrical and/or mechanical means. The RKKY interaction is an indirect exchange interaction between localized spins mediated by itinerant electrons. We can manipulate itinerant electrons via electrical and/or mechanical means, and then manipulate the local spins by RKKY mechanism.Therefore it is important to seek tunable parameters and effective interaction formalism of the RKKY interaction in various structures and materials. The contents of our project are as follows: we will study theoretically the properties of magnetic interactions in graphene and topological insulators by Keldysh formalism of non-equilibrium field theory, gauge-invariant diagrammatic technics, and other useful approaches; we will clarify the mechanism of electrically and/or mechanically controllable magnetism and investigate its possible applications; we will study some elementary excitations related to manipulation, e.g. plasmons, plasmarons, electron-phonon bound states, etc.. This project would clarify the physical principles of the non-magnetically controllable magnetism, and enrich the knowledge of electrons and magnetism in topological insulators and graphene.