Physical Properties of Strongly Correlated Quantum Liquids

该奖项支持强相关电子系统的理论研究，重点是高温超导体和量子霍尔系统。研究主要集中在三个方面：（1）PI认为欠掺杂高温超导体具有非费米液态金属态，表现出自旋-电荷分离。 研究将集中在霍隆动力学和非凝聚量子简并霍隆气体的性质。 超导态的转变将被研究，目的是了解超导转变如何与自旋-电荷复合有关，以及相干准粒子如何从非相干自旋子和holon中生长出来。 过渡到条纹相也将进行研究，这预计不是一个常见的CDW过渡。(2)PI计划开发一个更完整的分数量子霍尔态理论，旨在阐明拓扑序的数学结构。 手征算子乘积代数将被审查，看看它是否可以形成一个拓扑秩序的一般理论的基础。人们期望，对拓扑序的更深入理解将使非阿贝尔分数量子霍尔态的物理性质的计算成为可能，从而使它们在实验中得以识别。(3)PI计划研究拓扑序之间的连续相变。连续相变可以发生在干净的分数量子霍尔态之间，只要这些状态包含中性准粒子。临界点的性质依赖于两个态的拓扑序，这为实验研究拓扑序提供了一个有用的途径。PI计划寻找连续拓扑相变的一般有效理论，并了解拓扑序与临界理论之间的密切关系。PI还将探索临界点处的中性无隙激发如何与表面声学声子和其他实验探针相互作用。该奖项支持强关联电子系统的理论研究，特别关注高温超导体和量子霍尔系统。 PI计划使用先进的理论方法来理解高温超导体的拟议奇异金属状态的性质以及从这种状态到超导状态的相变的性质。金属态不同于普通金属，并且向超导性的转变可能在性质上不同于在众所周知的超导体中发生的转变。PI还将研究表现出内部秩序的分数量子霍尔态。 在两个具有相同对称性的态之间可以发生一种连续相变。PI打算开发一种更全面的理论来研究这些状态以及它们之间可能发生的相变。这项研究有助于对强关联电子材料的基本理解。

This award supports theoretical research on strongly correlated electron systems, focusing on high temperature superconductors and quantum Hall systems. Research focuses on three areas: (1) The PI takes the view that underdoped high temperature superconductors have a non-fermi liquid metallic state that exhibits spin-charge separation. Research will focus on holon dynamics and the properties of a non-condensing quantum degenerate holon gas. The transition to the superconducting state will be studied with the aim of understanding how the superconducting transition is related to spin-charge recombination and how coherent quasiparticles can grow out of incoherent spinons and holons. The transition to the striped phase will also be studied; this is expected not to be a usual CDW transition. (2) The PI plans to develop a more complete theory of fractional quantum Hall states, with an aim to elucidate the mathematical structure of topological order. The chiral operator product algebra will be examined to see if it could form the basis of a general theory of topological order. It is expected that a deeper understanding of topological order will enable the calculation of the physical properties of non-Abelian fractional quantum Hall states and so enable their identification in experiments. (3) The PI plans to study continuous phase transitions between topological orders. Continuous phase transitions can occur between clean fractional quantum Hall states as long as these states contain neutral quasiparticles. The properties of the critical point depend on the topological orders of the two states involved and so, provide a useful way to study topological order experimentally. The PI plans to find general effective theories for continuous topological phase transitions and to understand the close relation between the topological order and the critical theory. The PI will also explore how neutral gapless excitations at the critical point interact with surface acoustic phonons and other experimental probes.%%%This award supports theoretical research on strongly correlated electron systems with a particular focus on high temperature superconductors and quantum Hall systems. The PI plans to use advanced theoretical methods to understand the nature of a proposed exotic metallic state of the high temperature superconductors and the nature of the phase transition from this state to the superconducting state. The metallic state is unlike that of an ordinary metal and the transition to superconductivity may differ qualitatively from that which occurs in well-understood superconductors. The PI will also study fractional quantum Hall states that exhibit internal order. A kind of continuous phase transition can occur between two such states with the same symmetry. The PI intends to develop a more comprehensive theory of these states and the phase transitions that can occur among them. This research contributes to fundamental understanding of strongly correlated electron materials.***