文摘
We theoretically investigate magnetic properties of a unitary Fermi gas in a harmonic trap. Including strong pairing fluctuations within the framework of an extended T-matrix approximation, as well as effects of a trap potential within the local density approximation, we calculate the local spin susceptibility \(\chi (T,r)\) above the superfluid phase transition temperature \(T_\mathrm{c}\). We show that the formation of preformed singlet Cooper pairs anomalously suppresses \(\chi (T,r)\) in the trap center near \(T_\mathrm{c}\). We also point out that, in the unitarity limit, the spin-gap temperature in a uniform Fermi gas can be evaluated from the observation of the spatial variation of \(\chi (T,r)\). Since a real ultracold Fermi gas is always in a trap potential, our results would be useful for the study of how this spatial inhomogeneity affects thermodynamic properties of an ultracold Fermi gas in the BCS–BEC crossover region.