Quantum Theory of Strongly Interacting Electrons

该奖项支持研究强相互作用多体量子系统的新方法，目的是阐明材料的电子特性，如高温超导体、相关钙钛矿酸盐和镍酸盐、贝加德盐和其他有机超导体。PI打算继续对掺杂莫特绝缘体的特性进行协调研究。具体来说，本研究旨在研究导电条纹有序相、条纹液体相和条纹液晶相的性质，以及这些相中高温超导的机制，最雄心勃勃的是研究拓扑掺杂对“坏金属”异常正常状态的影响。PI计划采用一种方法，包括微观模型的受控近似解，以及发展更多的现象学理论，目的是理解实验观察的含义。具体计划包括：(1)研究具有条纹相的可解电子模型；(2)研究低超流体密度超导体的序参量相位波动对其性质的影响；(3)研究建立可能的液晶和各向同性液体条纹相的稳定性条件，并阐明这些相的电子性质。这项提议涉及研究具有强相互作用电子的材料的电子性质的新方法；凝聚态理论前沿的一个具有挑战性的问题。在高温超导体中“条纹相”和超导波动的作用是本工作的重点。＊＊＊

9808685KivelsonThis award supports research on new approaches to strongly interacting many-body quantum systems with the aim of elucidating the electronic properties of materials such as the high temperature superconductors, related perovskite ruthenates and nickelates, Bechgaard salts, and other organic superconductors. The PI intends to continue a coordinated study of the properties of doped Mott insulators. Specifically it is intended to investigate the properties of conducting stripe ordered, stripe liquid, and stripe liquid crystalline phases, the mechanism of high temperature superconductivity in these phases, an most ambitiously, to study the consequences of topological doping for the anomalous normal state of "bad metals." The PI plans an approach that includes controlled approximate solutions of microscopic models as well as developing more phenomenological theory with the aim of understanding the implications of experimental observations. Specific plans include: (1) studies of solvable electronic models which exhibit stripe phases, (2) an investigation of the consequences of fluctuations of the phase of the order parameter on the properties of superconductors with low superfluid densities, (3) studies to establish the conditions for the stability of possible liquid crystalline and isotropic liquid stripe phases, and to elucidate the electronic properties of these phases. %%% This proposal involves new approaches to the study of electronic properties of materials with strongly interacting electrons; a challenging problem at the forefront of condensed matter theory. The role of `striped phases' and superconducting fluctuations in high temperature superconductors are a focus of this work. ***