近年来人们发现在微纳米尺度下，作相对运动的两物体间即使没有直接接触也会有摩擦，这种摩擦称为非接触摩擦。关于非接触摩擦的物理机制有很多，其中一种是由两相对运动的材料之间交换Doppler频移光子造成的，称为量子摩擦。表面等离激元、表面声子等表面模式在近场范围能够有效地增强相对运动材料之间的量子摩擦。石墨烯可以支持表面等离激元，且其光学性质可以利用外场调控，所以我们选择石墨烯材料为主要对象来研究量子摩擦。本项目的研究内容可以归纳为两个主要方面：(1) 利用石墨烯与特异材料界面处不同表面模式的耦合，或石墨烯多层结构中来自于不同界面处的表面模式的耦合来调控量子摩擦。(2) 研究由普通介质材料组成的双曲特异材料或石墨烯基双曲特异材料之间的量子摩擦，弄清双曲模式，等离激元模式等对增强量子摩擦的作用。本项目的开展对于解决量子摩擦的部分争议问题具有重要帮助，对于纳米摩擦学的发展也具有重要科学价值。

In recent years, it is found that frictions can exist between two surfaces that are in relative motion even when there is no direct contact, such frictions are called non-contact friction. A lot of physical mechanism have been proposed to investigate the non-contact friction. One of the mechanisms is due to the exchange of Doppler-shift photon between two dielectrics in relative motion, which is the reason of occurrence of quantum friction. The quantum friction between surfaces can be enhanced significantly if the surfaces can support surface modes, such as surface plasmons (SPs) or surface phonon-polariton. SPs can be excited by graphene, furthermore, its optical properties can be modulated by chemical potential of graphene. Therefore, graphene become the perfect material to study and modulate quantum friction. This proposal concentrates on the two following parts: (1) We study the modulation of quantum friction with the help of coupling of different surface modes which are excited at the interfaces of graphene and metamaterials. The modulation of quantum frictions will be studied with help of coupling of surface modes from different interfaces in graphene-based multilayer structure as well. (2) We study the quantum friction between dielectric-based hyperbolic metamaterials as well as graphene-based hyperbolic metamaterials. It will help us to understand the contributions of hyperbolic modes and SPs in enhancing of the quantum frictions. We believe this proposal is helpful to solve some controversies in quantum friction, and is also valuable in the development of nanotribology.