Competing orders in low dimensional organic superconductors

该研究计划将主要集中在基于弱耦合重整化群（RG）理论的理论工具的开发和应用上，该理论基本上是由准一维有机超导体上进行的实验刺激的。尽管它们的分子结构很复杂，但这些相关系统作为一个简单的范例脱颖而出，展示了反铁磁性和非常规超导性之间的紧密联系。我们将利用RG方法的适用性来研究与超导性相关的量子临界性的性质，在这种材料的压力-温度相图中的磁自旋密度波相位附近。RG方法将扩展到高阶，以研究量子临界周围的集体激发及其对超导之前的金属相的准粒子态的影响。特别强调的是准粒子激发的性质，它们的光谱特征，进入运输量的行为， 自从它们在非常规超导体包括磷属元素化物、铜酸盐和重费米子系统中被发现以来，所观察到的异常行为一直是一个持久的问题。

This research program will be mainly focused on the development and application of theoretical tools grounded on the weak coupling renormalization group (RG) theory, a plan essentially stimulated by experiments that are carried out on quasi-one-dimensional organic superconductors. In spite of their complex molecular structure, these correlated systems stand out as a paradigm of simplicity to exhibit a close proximity between antiferromagnetism and unconventional superconductivity. We shall exploit the aptness of the RG method to study the nature of quantum criticality associated with superconductivity in the close vicinity of a magnetic spin-density wave phase in the Pressure-Temperature phase diagram of such materials. The RG method will be extended to high order to investigate the collective excitations surrounding quantum criticality and their influence on quasi-particles states of the metallic phase that precedes superconductivity. Particular emphasis will be put on the nature of quasi-particle excitations, their spectral features that enter in the behavior of transport quantities, whose observed anomalous behaviors have remained an enduring question since their discovery in unconventional superconductors including pnictides, cuprates and heavy-fermion systems.