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 这项资助包含对量子和经典相变中无序与强相关性之间相互作用的两方面（分析和数值）研究。 该研究涵盖了广泛的主题，包括玻色子和费米子哈伯德模型、高温超导体中的涡流动力学、量子自旋玻璃、费米和玻色系统中可能的“超固体”相以及玻色系统是否可以在零温度下保持正常状态由于量子涨落。在这项工作的过程中，还计划开发新的计算工具，例如。最大熵方法在随机系统动态响应中的应用。 %%% 该项目是两位才华互补的研究人员的共同努力，其中一位拥有强大的数学分析背景，另一位因其使用高性能计算机的工作而闻名。 他们选择将他们的综合才能应用于材料理论中的广泛问题：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的特性。 我们对超流体和氧化铜超导性的理解将是这项研究的主要受益者。 ***