Quantum Phase Transitions of Correlated Electrons and Atoms

该奖项支持旨在了解量子相变附近材料的理论研究和教育。量子相变发生在量子力学基态发生质变的临界点上。通过调整参数，如载流子浓度、磁场强度或压力，已经发现了具有新物理性质的新量子相。PI旨在开展各种理论研究，这些研究受到铜基过渡金属氧化物，有机化合物，超冷原子光学晶格和石墨烯的显着实验进展的推动。这些例子包括新的绝缘自旋间隙状态与证据的价键固体秩序，其中之一成为超导体下施加的压力。PI将研究金属，绝缘体或超导体之间的过渡。许多这些阶段的特点是由外来的拓扑秩序。PI将研究这些相对杂质和其他局部扰动的响应，以与纳米级实验探针（如扫描隧道显微镜）接触。PI还将在“量子临界”区域进行调查，在量子临界点附近的中间温度下发现，该区域可应用于观察欠掺杂的铜氧化物，薄超导膜和导线以及石墨烯。PI开发了新的工具，通过适应黑洞弦理论描述的进步来解决量子临界性。他计划将这些工具的范围扩大到更广泛的强相互作用的多体系统。该奖项支持研究主旨之外的活动，包括通过访问博士后研究员与全球科学界的联系，由他们本国的奖学金支持，编写更容易访问的第二版PI？的书？量子相变？非技术性总结：该奖项支持旨在预测新的物质状态并理解它们与已知物质状态之间的转换的理论研究和教育。 该研究的重点是在绝对零度温度下发生的变化，以响应压力或电子之间相互作用强度等物理参数的变化。与更熟悉的相变（如水到蒸汽）不同，这些相变不是温度变化的结果。相反，它们是海森堡的结果？不确定性原理是量子力学的基石。这些量子相变可以在可能存在于高温超导体、一类有机导体、被光捕获的冷原子系统等中的新物质状态之间实现。私家侦探？的工作利用先进的理论技术，受益于？异花授粉该奖项支持研究主旨以外的活动，包括通过访问博士后研究员与全球科学界的联系，由他们本国的奖学金支持，编写更容易理解的第二版PI？的书？量子相变？为研究生总结了这项研究背后的关键思想。

TECHNICAL SUMMARY:This award supports theoretical research and education aiming to understand materials in the vicinity of quantum phase transitions. Quantum phase transitions occur across critical points where there is a qualitative change in the quantum mechanical ground state. By tuning parameters, such as carrier concentration, magnetic field strength, or pressure, new quantum phases with novel physical properties have been discovered. The PI aims to carry out a variety of theoretical studies motivated by remarkable experimental progress in Cu-based transition metal oxides, in organic compounds, in optical lattices of ultracold atoms, and in graphene. These examples include novel insulating spin gap states with evidence for valence bond solid order, one of which becomes a superconductor under applied pressure. The PI will study transitions between such phases which are metals, insulators, or superconductors. Many of these phases are characterized by exotic topological orders. The PI will study the response of such phases to impurities and other local perturbations, to make contact with nanoscale experimental probes such as the scanning tunneling microscope. The PI will also pursue investigations in the `quantum critical' region, found at intermediate temperatures near a quantum critical point, which has applications to observations in the underdoped cuprates, in thin superconducting films and wires, and in graphene. The PI has developed new tools to address quantum criticality by adapting advances in the string theory description of black holes. He plans to expand the reach of such tools to a wider class of strongly interacting many-body systems.This award supports activities beyond the research thrust, including connections with the global scientific community through visiting post-doctoral fellows, supported by fellowships from their home countries, the preparation of a more accessible second edition of the PI?s book ?Quantum Phase Transitions? which summarizes key ideas behind this research for graduate students.NON-TECHNICAL SUMMARY:This award supports theoretical research and education that aims to predict new states of matter and understand transformations among them and known states of matter. The research focuses on transformations that occur at the absolute zero of temperature in response to changes in a physical parameter such as pressure or the strength of interaction between electrons. Unlike more familiar transformations, like water to steam, these transformations of phase are not a consequence of changes in temperature. Rather they are a consequence of Heisenberg?s uncertainty principle, a cornerstone of quantum mechanics. These quantum phase transitions may be realized between new states of matter that may exist in high temperature superconductors, a class of organic conductors, systems of cold atoms trapped by light, and more. The PI?s work utilizes advanced theoretical techniques that benefit from ?cross-pollination? with branches of physics that study subatomic particles and the origins of gravity.This award supports activities beyond the research thrust, including connections with the global scientific community through visiting post-doctoral fellows, supported by fellowships from their home countries, the preparation of a more accessible second edition of the PI?s book ?Quantum Phase Transitions? which summarizes key ideas behind this research for graduate students.