Novel States of Quantum Hall Systems

0108451 Fertig该奖项支持理论研究，以探索高质量量子霍尔系统实验中揭示的高度各向异性金属态的可能解释，以及产生非费米液体金属态的可能机制。 这项研究有四个目的：（1）开发条纹的定量模型，使人们能够评估在包括波动的低温下真正存在的有序性;（2）了解这个系统如何避免局部化（费米液体）和钉扎（电荷密度波）;（3）为了理解气泡和条纹之间的过渡，特别是当存在无序时，并在这些不寻常的系统中寻找新的钉扎行为和可能的玻璃化行为;以及（4）探索当引入第二层时与层间相相干性相关的新物理。 各种场论技术，数值模拟和重整化群方法将被用来进行研究。该奖项支持的理论研究，追求一个可能的解释异国情调的金属态的电子局限于二维和层的电子。这项研究将集中在量子霍尔系统实验中观察到的不寻常的金属状态。据推测，在这些系统中，电子参与了新的气泡相和条纹相，类似于液晶中发现的相。由于研究量子霍尔系统的良好理论工具，这些可能被证明是更普遍地探索条纹相位的受控试验场。条纹量子霍尔相的研究可以解释高温超导体中观察到的异常金属态和条纹相的起源。该奖项将支持凝聚态理论中最先进方法的博士后培训。

0108451FertigThis award supports theoretical research to explore a possible explanation for highly anisotropic metallic states revealed in experiments on high quality quantum Hall systems, and a possible mechanism for producing non-Fermi liquid metallic states. The proposed research has four aims: (1) to develop quantitative models of stripes that allow one to assess what kind of ordering is really present at low temperatures when fluctuations are included; (2) to understand how this system might avoid localization (Fermi liquid) and pinning (charge density wave); (3) to understand the transition between bubbles and stripes, particularly when disorder is present, and to search for new pinning behavior and possibly glassy behavior in these unusual systems; and (4) to explore new physics associated with interlayer phase coherence when a second layer is introduced. Various field theoretical techniques, numerical simulations, and renormalization group methods will be used to carry out the research. %%%This award supports theoretical research that pursues a possible explanation of exotic metallic states of electrons confined to two-dimensions and layers of such electrons. The research will focus on unusual metallic states that have been observed in experiments on quantum Hall systems. It is supposed that in these systems electrons participate in novel bubble phases and striped phases that are analogous to phases found in liquid crystals. Because of the good theoretical tools available for studying quantum Hall systems, these may prove to be a controlled proving ground for exploring striped phases more generally. The study of striped quantum Hall phases may illuminate the origins of unusual metallic states and striped phases observed in the high temperature superconductors. The award will support postdoctoral training in state-of-the-art methods in condensed matter theory.***