Theory of Locally Crystalline Liquids

局域结晶液体理论

基本信息

批准号：
0110329
负责人：
Steven Kivelson
金额：
$ 34.8万
依托单位：
University of California-Los Angeles
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2001
资助国家：
美国
起止时间：
2001-07-01 至 2004-09-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=0110329&HistoricalAwards=false
关键词：
Theory Locally Crystalline Liquids

项目摘要

This grant supports theoretical research on the properties of strongly correlated electron systems; in particular, the behavior of liquid crystalline phases in these systems. There is strong support for the idea that the liquid crystal phases of highly correlated electronic systems have considerable local crystalline (charge) order. Various electronic liquid and liquid crystalline phases of doped Mott insulators are expected on theoretical grounds and/or are known experimentally (especially from neutron diffraction and x-ray scattering experiments) to possess considerable local "stripe" order. There is also clear theoretical and compelling, although indirect, experimental evidence that there is a large degree of stripe order in the anisotropic metallic state observed at low temperatures in quantum Hall systems in higher Landau levels. The metallic phases of the low-density two dimensional electron gas with rs less than, but near to the critical density for Wigner crystallization, are expected, theoretically, to have a large degree of crystalline order. The normal state of quasi-one dimensional charge and spin density wave insulators has long been known to possess substantial (phase disordered) local density wave order. Even ordinary quantum Hall liquids, especially those at very low filling factor, are known to possess incipient crystalline order, as indicated by the deep magneto-roton minimum in the collective mode spectrum. It is proposed to undertake a systematic theoretical study of the implications of this statement. In particular, we will find defined limiting situations in which the intuitive, but vague, notion of local crystalline order can be made precise, and to explore the consequences of local crystallinity on the electronic properties of highly correlated electronic liquids. Special attention will be paid to the physics of the "fluctuating stripe" phases of the high temperature superconductors, to the incipient glassy character of such a locally crystalline liquid, and to the relation of this study to the theory of classical supercooled liquids.%%%

该资助支持强相关电子系统特性的理论研究；特别是这些系统中液晶相的行为。高度相关电子系统的液晶相具有相当大的局部晶体（电荷）有序度的观点得到了强有力的支持。掺杂莫特绝缘体的各种电子液体和液晶相在理论基础上预计和/或在实验上（特别是从中子衍射和X射线散射实验）已知具有相当大的局部“条纹”秩序。还有明确的理论和令人信服的（尽管是间接的）实验证据表明，在较高朗道能级的量子霍尔系统中，在低温下观察到的各向异性金属态存在很大程度的条带顺序。 rs 小于但接近维格纳结晶临界密度的低密度二维电子气的金属相，理论上预计具有很大程度的结晶有序度。人们早就知道准一维电荷和自旋密度波绝缘体的正常状态具有大量的（相无序的）局域密度波序。即使是普通的量子霍尔液体，尤其是填充因子非常低的量子霍尔液体，也已知具有初始晶序，如集体模式谱中的深磁转子最小值所示。建议对这一陈述的含义进行系统的理论研究。特别是，我们将找到定义的限制情况，在这些情况下，直观但模糊的局部晶序概念可以变得精确，并探索局部结晶度对高度相关电子液体的电子特性的影响。将特别关注高温超导体的“涨落条纹”相的物理学、这种局部结晶液体的初期玻璃态特征，以及本研究与经典过冷液体理论的关系。%% %