Quantum Phase Transitions and Vortex Dynamics

量子相变和涡动力学

• 批准号: 9528535
• 负责人: Richard Scalettar
• 金额: $ 25.8万
• 依托单位: University of California-Davis
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-01-01 至 1998-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9528535&HistoricalAwards=false
• 关键词: Quantum; Phase; Transitions; Vortex; Dynamics

9528535 Scalettar This grant contains a two pronged (analytical and numerical) study of interplay between disorder and strong correlations in quantum and classical phase transitions. The research covers a broad range of topics, including boson and fermion Hubbard models, the dynamics of vortices in high temperature superconductors, quantum spin glasses, possible "supersolid" phases in Fermi and Bose systems and whether a Bose system can remain normal at zero temperature due to quantum fluctuations.. In the course of this work, there is also a plan to develop new computational tools, e.g. . applications of the maximum entropy method to the dynamical response of random systems. %%% The project is a combined effort by two researchers with complementary talents, one has a strong background in the mathematical analysis and the other is well known for his work using high performance computers. They have chosen to apply their combined talents to a wide range of problems in Materials Theory: phase transition between a superconductor and an insulator, Current-voltage characteristics of superconductors and properties of Bose condensation as influenced by a variety of perturbations. Our understanding of superfluids and superconductivity in copper oxides will be main beneficiaries of this research. ***

9528535 Scalettar这项资助包含了一项关于量子相变和经典相变中无序和强关联之间相互作用的双管齐下的(分析和数值)研究。这项研究涵盖了广泛的主题，包括玻色子和费米子哈伯德模型，高温超导体中涡旋的动力学，量子自旋玻璃，费米和玻色系统中可能的超固态相，以及玻色系统是否可以由于量子涨落而在零温度下保持正常。在这项工作中，还计划开发新的计算工具，例如。最大熵方法在随机系统动力响应中的应用。这个项目是由两位人才互补的研究人员共同努力完成的，其中一位在数学分析方面有很强的背景，另一位则以使用高性能计算机而闻名。他们选择将他们的综合才能应用于材料理论中的一系列问题：超导体和绝缘体之间的相变，超导体的电流-电压特性，以及受各种扰动影响的玻色凝聚特性。我们对铜氧化物中的超流体和超导电性的了解将是这项研究的主要受益者。***