Frontiers of Quantum Matter On-a-Chip!

芯片上的量子物质前沿！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巨大挑战，为加拿大在“量身定制”量子物质新兴领域的卓越和领导地位的进步做出贡献，并超越当前现有的范式。（一）超越玻色和费米：开发热力学“片上”[PRB 95，201306 R（2017）]和窄带噪声测量[PRL 120，136801（2018）]，我们的团队最近测量了5/2分数量子霍尔态的熵 *（绝对单位）*。在即将到来的DG资金的过程中，我们将应对确定它是否具有非阿贝尔熵的巨大挑战，这是携带非阿贝尔编织量子统计的拓扑状态的明确特征。ii）除散装物质外：我们的研究小组已经解决了一维量子液体的Tomonaga-Luttinger液体理论的巨大挑战，并在过去几年中在电子[Science 343，631（2014）]和流体[Science Advances 1，e1400222（2015）]系统中取得了重要进展。在即将到来的DG资助周期中，我们将应对一维热电的巨大挑战（在同一个电子模型系统中），以便实验性地展示Wiedemann-Franz定律的预期崩溃，以及在中性系统中建立“代数超流性”，正如Halfman早期所设想的那样。iii）石墨烯之外：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[Nature Communications 6，7702（2015）]。在即将到来的DG融资周期中，我们将在晶体管几何结构中应对“锑”（Sb）和“铋”（Bi）的巨大挑战，以建立其固态特性。 （四）低能凝聚态物理学之外：基于多年的设备制造和定制“芯片上的量子物质”的经验，在即将到来的DG资助周期中，我们的团队将应对通过超导体与拓扑绝缘体的邻近耦合来找到超对称（SUSY）量子相的巨大挑战，正如阿弗莱克等人所预测的那样。我们建议合并i）中讨论的热力学测量，并在固态物理中寻找超对称性的明确热力学特征。

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.