Using Gaussian pair fluctuations and analytic continuation to complex frequencies, the authors compute finite-temperature Leggett mode frequencies and damping in two-band Fermi superfluids, finding the mode survives at T_c in the BEC regime and anticrosses the pair-breaking edge away from BEC.
These spectral weight functions are determined using the inverse GPF propagator in the basis of the amplitude and phase field coordinates
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Leggett collective excitations in a two-band Fermi superfluid at finite temperatures
Using Gaussian pair fluctuations and analytic continuation to complex frequencies, the authors compute finite-temperature Leggett mode frequencies and damping in two-band Fermi superfluids, finding the mode survives at T_c in the BEC regime and anticrosses the pair-breaking edge away from BEC.