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arXiv:physics/0104089 · Physical Review A

Collective modes in a dilute Bose-Fermi mixture

Sungkit Yip

Published Jul 18, 2001• 53 citations
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Abstract

Here we study the collective excitations of a dilute spin-polarized Bose-Fermi mixture at zero temperature, considering, in particular, the features arising from the interaction between the two species. We show that a propagating zero-sound mode is possible for the fermions even when they do not interact among themselves.
DOI
10.1103/physreva.64.023609

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In this paper, collective excitations in a homogeneous fermion-fermion mixture with different Fermi surfaces are studied. In the Fermi liquid phase, the zero-sound velocity is found to be larger than the largest Fermi velocity. With attractive interactions, the superfluid phase appears below a critical temperature, and the phase mode is the low-energy collective excitation. The velocity of the phase mode is significantly different from the zero-sound velocity. The difference between the two velocities may serve as a tool to detect the superfluid phase.