Formation of magnetic impurities and pair-breaking effect in a superfluid Fermi gas

Abstract

We theoretically investigate a possible idea to introduce magnetic impurities to a superfluid Fermi gas. In the presence of population imbalance ($N_{\uparrow }>N_{\downarrow }$, where $N_{\sigma }$ is the number of Fermi atoms with pseudospin $\sigma =\uparrow ,\downarrow$), we show that nonmagnetic potential scatterers embedded in the system are magnetized in the sense that some of excess $\uparrow$-spin atoms are localized around them. They destroy the superfluid order parameter around them, as in the case of magnetic impurity effect discussed in the superconductivity literature. This pair-breaking effect naturally leads to localized excited states below the superfluid excitation gap. To confirm our idea in a simply manner, we treat an attractive Fermi Hubbard model within the mean-field theory at T=0. We self-consistently determine superfluid properties around a nonmagnetic impurity, such as the superfluid order parameter, local population imbalance, as well as single-particle density of states, in the presence of population imbalance. Since the competition between superconductivity and magnetism is one of the most fundamental problems in condensed matter physics, our results would be useful for the study of this important issue in cold Fermi gases.

27 pages, 14 figures

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• Interaction-induced localization of mobile impurities in ultracold systems
• Interaction-induced localization of fermionic mobile impurities in a Larkin-Ovchinnikov superfluid
• Topological s-wave pairing superconductivity with spatial inhomogeneity: Mid-gap-state appearance and robustness of superconductivity
• Magnetic Impurities in Two-Dimensional Superfluid Fermi Gas with Spin-Orbit Coupling
• Triplet pair amplitude in a trapped $s$-wave superfluid Fermi gas with broken spin rotation symmetry
• Tunable nanomagnetism in moderately cold fermions on optical lattices