拓扑量子霍尔混合器件

本项目提案基于最近取得开创性进展的量子霍尔绝 缘体和超导体混合器件实验(Finkelstein's group Science 2016 & He et al., Science 2017)。主要目标是对许多目前尚未完全理解和解决的实验发现给出更加深刻的理论理解。这其中包括:(i)确定其中的Andreev机制(ii)研究石墨烯量子霍尔混合器件系统中存在Majorana&斐波纳契任意子的可能性,(iii)研究Lian等人的提议的 (PNAS 2018)。利用手性Andreev & Majorana边缘模来进行量子计算。(iv)设计新的量子霍尔器件方案。最后一个方向也会考虑最近Jarillo-Herrero的小组(Nature 2018)发现的双层魔角石墨烯(tBG)的优秀性质。于其演生出了平坦的 能带的性质,tBG表现出内禀的强耦合超导电性。因此,我计划研究仅基于tBG的器件。

This project proposal is motivated by recent groundbreaking experiments in hybrid devices of quantum Hall insulators and superconductors (Finkelstein's group Science 2016 & He et al., Science 2017). The main goal is to provide a deeper theoretical understanding of many experimental discoveries that have not yet been fully understood or resolved. This includes: (i) identifying the Andreev mechanism (ii) studying the possibility of Majorana & Fibonacci anyons in graphene quantum Hall hybrid devices, (iii) studying the proposal of Lian et al. (PNAS 2018) and employ it for quantum computing using chiral Andreev & Majorana edge modes, (iv) designing new quantum Hall device schemes. The last direction will also consider the excellent properties of magic angle twisted bilayer graphene (tBG) discovered recently by the Jarillo-Herrero group (Nature 2018). Because of its flat energy band, tBG exhibits intrinsic strong coupling superconductivity. Therefore, I plan to study devices solely based on tBG.