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Isospin excitations of a trapped 1D gas of attractively interacting fermions

We consider a gas of fermions with a short-range attractive intercomponent interaction in a parabolic external potential and derive the conditions of the local density approximation. The obtained spectrum of quasiparticle (isospin) excitations shows equidistant low-energy levels, which is equivalent to a linear momentum dependence and is fundamentally different from the ordinary Dirac spectrum in the spatially uniform case.

preprint2008arXivOpen access
M. Colomé-TatchéG. V. ShlyapnikovA. M. Tsvelik
cond-mat.str-el
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M. Colomé-TatchéG. V. ShlyapnikovA. M. Tsvelik

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