U.S.-France Cooperative Research: Disorder-Driven Quantum Phase Transitions

这个为期两年的奖项支持由加州大学戴维斯分校的Richard T. Scalettar和尼斯大学的George batroni在材料研究方面的美法合作。该项目解决了相互作用、无序电子系统的问题。目的是利用量子蒙特卡罗（QMC）方法确定无序超流体和超导体中的量子相变。研究人员将对超流体的玻色子-哈伯德模型和费米恩-哈伯德模型中的超固体形成进行数值模拟。美国研究者为合作带来了费米子决定QMC方法的专业知识。这是由法国在双算法玻色子QMC方面的专业知识补充。无序电子系统具有普遍导电性、二维金属绝缘体和超导体绝缘体相变、零温度液体行为和新型玻璃相等显著特性。这些系统代表了固态物理学中的基本问题，具有重要的技术应用。该奖项代表了美国方面向国家科学基金会和法国国家科学研究中心（CNRS）提出的平行提案。美国国家科学基金会将支付美国研究者和学生的旅费和生活费。CNRS将支持法国研究人员的访问。该合作将促进对固体物理学中无序电子系统的基本理解，并为一名美国学生提供国际研究培训机会。

0124350ScalettarThis two-year award supports U.S.-France collaboration in materials research between Richard T. Scalettar, University of California, Davis, and George Batrouni of the University of Nice. The project addresses the problem of interacting, disordered electron systems. The objective is to determine quantum phase transitions in disordered superfluids and superconductors using Quantum Monte Carlo (QMC) methods. The investigators will conduct numerical simulations of the Boson-Hubbard model for superfluids and of supersolid formation in the Fermion-Hubbard model. The US investigator brings to the collaboration expertise in fermion determinant QMC methods. This is complemented by French expertise in dual algorithm bosonic QMC.Disordered electron systems exhibit remarkable properties including universal conductivity, two-dimensional metal-insulator and superconductor insulator phase transition, zero temperature liquid behavior and novel glassy phases. These systems represent fundamental problems in solid state physics and have important technological applications. This award represents the US side of parallel proposals to the NSF and the French National Center for Scientific Research (CNRS). NSF will cover travel funds and living expenses of the US investigator and student. The CNRS will support the visits of the French researchers. The collaboration will advance fundamental understanding of disordered electron systems in solid state physics and provides an international research training opportunity for a US student.