Physical Properties of Strongly Correlated Quantum Liquids

强相关量子液体的物理性质

• 批准号: 0433632
• 负责人: Xiao-Gang Wen
• 金额: $ 39万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-11-01 至 2007-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0433632&HistoricalAwards=false
• 关键词: Physical; Properties; Strongly; Correlated; Quantum

This grant supports theoretical research on fundamental condensed matter physics. Condensed matter physics has been dominated by two primary themes. The first is Landau's Fermi liquid theory and the second is Landau's symmetry breaking theory along with renormalization group theory. Recent studies suggest that new themes are emerging in condensed matter physics. The research supported by this grant will explore these new themes.One of the new developments is the quantum/topological order introduced by the principal investigator (PI). Topological order describes a new kind of order in fractional quantum Hall (FQH) states. Quantum order describes the internal structure of over one hundred different quantum spin liquids. Quantum/topological order represents new types of order that cannot be described by Landau's symmetry breaking theory. More recent research indicates that quantum/topological order is closely related to the phenomenon of string condensation. The theory of quantum/topological order and string condensation is still in its infancy. This research will attempt to develop a more complete theory. In particular, the following projects will be studied:The theory of string condensation has a potential to become a well-developed theory like Landau's theory of symmetry breaking. The mathematical framework behind symmetry breaking states is group theory. This project will try to reveal the mathematical framework behind string condensation. The new knowledge will lead to a systematic understanding of phase transitions between different string condensed states as well as the collective excitations above string condensed states. The new knowledge will also lead to a classification of different string condensed states.Under prior support, the PI showed that a continuous transition between clean FQH states can occur as long as the FQH states contain non-bosonic neutral quasiparticles. Using the relationship between topological order and string condensation, continuous transitions between more general FQH states will be studied, as well as their experimental consequences. These theoretical studies will lead to systematic experimental studies of continuous transitions between clean FQH states. Since FQH states can be viewed as string condensed states, these experiments can also reveal the properties of transitions between different string condensations.The underdoped high Tc superconductors have some very unusual properties. Their normal state contains electron-like quasiparticles. However, the Fermi surfaces of the quasiparticles are small segments that violate the Luttinger theorem. This project will develop a theory for this strange underdoped normal state. The quantum order and the associated spin liquids will play a key role in the research. The new theory of the underdoped normal state will lead to better understanding of the mechanism and nature of the superconducting transition.The research accomplished under this grant will have a broad and deep impact on many areas of physics. The string condensed states have robust quantum entanglements that can be used to perform fault tolerant quantum computing. Since the collective excitations in a string condensed state are gauge bosons and fermions, it deepens our understanding of the origin of elementary particles.%%% This grant supports theoretical research on fundamental condensed matter physics. Condensed matter physics has been dominated by two primary themes. The first is Landau's Fermi liquid theory and the second is Landau's symmetry breaking theory along with renormalization group theory. Recent studies suggest that new themes are emerging in condensed matter physics. The research supported by this grant will explore these new themes.***

该赠款支持有关基本凝结物理物理学的理论研究。 凝结物理学已由两个主要主题主导。 第一个是Landau的费米液体理论，第二个是Landau的对称破坏理论以及重新归一化的群体理论。 最近的研究表明，在凝结物理学中出现了新主题。 这项赠款支持的研究将探讨这些新主题。新事态发展之一是首席研究者（PI）引入的量子/拓扑顺序。 拓扑顺序描述了分数量子厅（FQH）的一种新秩序。 量子顺序描述了一百多个不同量子自旋液体的内部结构。 量子/拓扑顺序代表了Landau的对称破坏理论无法描述的新秩序类型。 最近的研究表明，量子/拓扑顺序与弦凝结现象密切相关。 量子/拓扑顺序和弦凝结理论仍处于起步阶段。 这项研究将试图发展一个更完整的理论。 特别是，将研究以下项目：弦乐理论的潜力有可能成为诸如Landau的对称破坏理论之类的完善理论。 对称破坏状态背后的数学框架是群体理论。 该项目将尝试揭示字符串凝结背后的数学框架。 新知识将导致对不同字符串凝结状态以及上面的集体激励之间的相变的系统理解。 新知识还将导致对不同弦凝结状态的分类。在事先支持下，PI表明，只要FQH状态包含非遗传性中性准粒子，就可以在干净的FQH状态之间进行连续过渡。 利用拓扑顺序和弦凝结之间的关系，将研究更通用的FQH状态之间的连续过渡，以及它们的实验后果。 这些理论研究将导致对清洁FQH状态之间连续过渡的系统实验研究。 由于可以将FQH状态视为字符串凝结状态，因此这些实验还可以揭示不同琴弦冷凝之间过渡的特性。不足的高TC超导体具有一些非常不寻常的特性。 它们的正常状态包含电子样品粒子。 但是，准颗粒的费米表面是违反luttinger定理的小部分。 该项目将为这种奇怪的正常状态发展一个理论。 量子顺序和相关的自旋液体将在研究中起关键作用。 不足的正常状态的新理论将使人们更好地理解超导过渡的机制和性质。根据这笔赠款，完成的研究将对许多物理学领域产生广泛而深远的影响。 字符串凝结状态具有可靠的量子纠缠，可用于执行容错量子计算。 由于弦凝结状态下的集体激发是仪表玻色子和费米子，因此它加深了我们对基本颗粒起源的理解。%% %%这笔赠款支持有关基本凝结物质物理学的理论研究。 凝结物理学已由两个主要主题主导。 第一个是Landau的费米液体理论，第二个是Landau的对称破坏理论以及重新归一化的群体理论。 最近的研究表明，在凝结物理学中出现了新主题。 该赠款支持的研究将探讨这些新主题。***