Fermionic quantum matter in atomic gases and solid state systems

本计画旨在探讨费米子自由度对多体系统宏观性质的影响。虽然预期的效应通常发生在非常低的温度下，但对于技术应用来说，了解潜在的机制至关重要。费米子量子物质在各种物理系统中实现。在这个项目中，我们探索超冷费米气体，高温超导体和石墨烯的模型，通过量子场论方法，如重整化群。首先，所谓的Sarma相的性质应与其在超冷费米气体和固态系统中实现的参数机制一起确定。关于这种物质状态，最值得注意的事实是它具有金属和超导的特性。此外，还将研究费米子系统中不同有序原理的竞争。这对铜氧化物超导体和石墨烯的相图有影响。

This project aims at investigating the influence of fermionic degrees of freedom on the macroscopic properties of many-body systems. Although the expected effects typically occur at very low temperatures, it is of central importance for technological applications to understand the underlying mechanisms. Fermionic quantum matter is realized in a variety of physical systems. In this project we explore models for ultracold Fermi gases, high-temperature superconductors, and graphene by means of quantum field theoretical methods like the Renormalization Group. For one, properties of the so-called Sarma phase shall be identified together with parameter regimes for its realization in ultracold Fermi gases and solid state systems. The most remarkable fact about this state of matter is that it shares properties of both metallic and superconducting character. Furthermore, the competition of distinct ordering principles in fermionic systems shall be studied. This has implications on the phase diagrams of cuprate superconductors and graphene.