Applying BCS-BEC crossover theory to high-temperature superconductors and ultracold atomic Fermi gases

摘要

This review is written at the time of the twentieth anniversary of the discovery of high-temperature superconductors, which, nearly coincides with the important discovery of the superfluicl phases of ultracald trapped fermionir. atoms. We show how these two subjects have much in common. Both have been addressed from the perspective of the BCS-Bose-Einstein condensation (BEC) crossover scenario, which is designed to treat short coherence length superfluids with transition temperatures which are 《high》, with respect to the Fermi energy. A generalized mean field treatment of BCS-BEC crossover at general temperatures T, based on the BCS-Lcggett ground state, has met with remarkable success in the fermionic atomic systems. Here we summarize this success in the context of four different cold atom experiments, all of which provide indications, direct or indirect, for the existence of a pseudogap. This scenario also provides a physical picture of the pseudogap phase in the uiulerdoped cuprates which is a central focus of high T_c research. We summarize successful applications of BCS-BEC crossover to key experiments in high T_c systems including the phase cliagram, specific heat, and vortex core STM data, along with the Nernsl effect, and exciting recent data on the superfluid density in very underdoped samples.