Quantum Phase Transitions of Correlated Electrons and Atoms

技术概述：该奖项支持旨在理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。通过调整载流子浓度、磁场强度或压力等参数，可以发现具有新物理性质的新量子相。该项目旨在开展各种理论研究，其动机是在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方面取得了显著的实验进展。这些例子包括新的绝缘自旋隙态，具有价键固体有序的证据，其中一个在施加压力下成为超导体。PI将研究金属、绝缘体或超导体之间的相变。这些阶段中的许多阶段都具有奇特的拓扑顺序。PI将研究这些相对杂质和其他局部扰动的响应，并与纳米级实验探针（如扫描隧道显微镜）进行接触。PI还将对“量子临界”区域进行研究，该区域位于量子临界点附近的中间温度，可用于观察未掺杂的铜酸盐、超导体薄膜和电线以及石墨烯。PI已经开发了新的工具，通过适应黑洞的弦理论描述来解决量子临界问题。他计划将这类工具的应用范围扩大到更广泛的强相互作用多体系统。该奖项支持研究重点以外的活动，包括通过访问博士后与全球科学界建立联系，并得到其本国奖学金的支持，编写更容易获得的第二版PI？书？量子相变？为研究生总结了这项研究背后的关键思想。非技术概述：该奖项支持理论研究和教育，旨在预测物质的新状态，并了解它们之间的转换和已知的物质状态。这项研究的重点是在绝对零度温度下发生的变化，以响应诸如压力或电子之间相互作用强度等物理参数的变化。不像我们更熟悉的转变，如水到蒸汽，这些相的转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高温超导体、一类有机导体、被光捕获的冷原子系统等物质的新状态之间实现。π吗?他的工作运用了得益于“异花授粉”的先进理论技术。研究亚原子粒子和引力起源的物理学分支。该奖项支持研究重点以外的活动，包括通过访问博士后与全球科学界建立联系，并得到其本国奖学金的支持，编写更容易获得的第二版PI？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.