The phase diagrams of low density Fermi-Fermi mixtures with equal or unequal masses and equal or unequal populations are described at zero and finite temperatures in the strong attraction limit. In this limit, the Fermi-Fermi mixture can be described by a weakly interacting Bose-Fermi mixture, where the bosons correspond to Feshbach molecules and the fermions correspond to excess atoms. First, we discuss the three and four fermion scattering processes, and use the exact boson-fermion and boson-boson scattering lengths to generate the phase diagrams in terms of the underlying fermion-fermion scattering length. In three dimensions, in addition to the normal and uniform superfluid phases, we find two stable non-uniform states corresponding to (1) phase separation between pure unpaired (excess) and pure paired fermions (molecular bosons); and (2) phase separation between pure excess fermions and a mixture of excess fermions and molecular bosons. Lastly, we also discuss the effects of the trapping potential in the density profiles of condensed and non-condensed molecular bosons, and excess fermions at zero and finite temperatures, and discuss possible implications of our findings to experiments involving mixtures of ultracold fermions.
Oriented Triplet $p$-Wave Pairing from Fermi surface Anisotropy and Nonlocal Attraction
Key Laboratory for Microstructural Material Physics of Hebei Province, School of Science, Yanshan University（河北工业大学微观结构物理重点实验室，理学院，燕山大学）；School of Science, Harbin Institute of Technology, Shenzhen（哈尔滨工业大学（深圳）理学院）；Shenzhen Key Laboratory of Advanced Functional Carbon Materials Research and Comprehensive Application（深圳市先进功能碳材料研发与综合应用重点实验室）；College of Physics, Chongqing University（重庆大学物理学院）；School of Physics, Harbin Institute of Technology（哈尔滨工业大学物理学院）；Eastern Institute for Advanced Study, Eastern Institute of Technology（宁波东方理工大学（暂名）先进研究院）；School of Physical Sciences, University of Science and Technology of China（中国科学技术大学物理科学学院）
