Frontiers of Quantum Matter On-a-Chip!

片上量子物质的前沿！我们的战略愿景是将设计师的材料和制造应用于量子物理的重大挑战，为促进加拿大在新兴的“量身定制”量子物质领域的卓越和领先地位做出贡献，并超越目前的现有范式。I)超越玻色和费米：发展热力学‘片上’[PRB95,201306R(2017年)]和窄带噪声测量[PRL120,136801(2018年)]，我们的小组最近测量了5/2分数量子霍尔态的熵*以绝对单位*表示。在即将到来的DG资助过程中，我们将解决确定它是否具有猜想的非阿贝尔熵的重大挑战，非阿贝尔熵是承载非阿贝尔编织量子统计的拓扑态的明显特征。Ii)超越块状物质：我们的研究小组解决了Tomonaga-Luttinger液体理论对一维量子液体的重大挑战，并在过去几年中在电子[Science 343,631(2014)]和流体[Science Advance 1，e1400222(2015)]系统方面取得了重要进展。在即将到来的DG资金周期中，我们将解决一维(在同一电子模型系统中)热电的重大挑战，以实验方式展示Wiedemann-Franz定律预期的崩溃，以及建立中性系统中的“代数超流”，正如霍尔丹早期所设想的那样。Iii)超越石墨烯：我们的研究小组已经超越了石墨烯，我们是第一个(与中国的另一个团队同时)报告黑磷或“磷烯”中的量子振荡的人[自然通讯6,7702(2015)]。在即将到来的DG资金周期中，我们将在晶体管几何结构中解决“锑”(Sb)和“铋”(Bi)的重大挑战，以努力确定它们的固态特性。Iv)超越低能凝聚态物理：基于多年在制造器件和量身定制‘片上量子物质’方面的经验，在即将到来的DG资金周期中，我们的团队将像Affleck等人预测的那样，通过超导体与拓扑绝缘体的邻近耦合来寻找超对称(SUSY)量子相，这是一个巨大的挑战。为了实现这一点，我们建议合并I)中讨论的热力学测量，并在固体物理中寻找SUSY的明确热力学特征。

Frontiers of Quantum Matter On-a-Chip! Our strategic vision is to apply designer's materials and fabrication to the grand challenge of quantum physics, to contribute to the advancement of Canadian excellence and leadership in the burgeoning field of 'tailor-made' quantum matter, and to go beyond the current existing paradigms. i) Beyond Bose and Fermi: Developing thermodynamics 'on-a-chip' [PRB 95, 201306R (2017)] and narrow-band noise measurements [PRL 120, 136801 (2018)], our group has recently measured the entropy *in absolute units* for the 5/2 fractional quantum Hall state. Over the course of this coming DG funding, we will be tackling the grand challenge of determining whether it possesses the conjectured non-abelian entropy, a clear signature of a topological state carrying non-Abelian braiding quantum statistics. ii) Beyond bulk matter: Our research group has tackled the grand challenge of Tomonaga-Luttinger liquid theory for the one-dimensional quantum liquid, and made important progress over the last few years in both an electronic [Science 343, 631 (2014)] and fluidic [Science Advances 1, e1400222 (2015)] system. Over the course of this coming DG funding cycle, we will be tackling the grand challenge of thermoelectricity in 1D (in the same electronic model system) so as to experimentally show the expected breakdown of the Wiedemann-Franz law, as well as establishing "algebraic superfluidity" in a neutral system, as envisioned early on by Haldane. iii) Beyond graphene: Our research group has gone "beyond graphene" and we have been the first (simultaneously with another team in China) to report quantum oscillations in black phosphorus, or "phosphorene" [Nature Communications 6, 7702 (2015)]. Over the course of this coming DG funding cycle, we will be tackling the grand challenge of "antimonene" (Sb) and "bismuthene" (Bi) within a transistor geometry, in an effort to establish their solid-state properties. iv) Beyond low-energy condensed matter physics: Building on years of experiences with fabrication of devices and tailoring 'quantum matter on-a-chip', over the course of this coming DG funding cycle our group will be tackling the grand challenge of finding a supersymmetric (SUSY) quantum phase by proximity coupling of a superconductor with a topological insulator, as predicted by Affleck et al. To achieve this, we propose to merge the thermodynamic measurements discussed in i) and to search for a clear thermodynamic signature of SUSY in solid state physics.