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arXiv · 1507.08116

Three-body bound states of two bosonic impurities immersed in a Fermi sea in 2D

F. F. Bellotti·T. Frederico·M. T. Yamashita·D. V. Fedorov·A. S. Jensen·N. T. Zinner
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Abstract

We consider two identical impurities immersed in a Fermi sea for a broad range of masses and for both interacting and non-interacting impurities. The interaction between the particles is described through attractive zero-range potentials and the problem is solved in momentum space. The two impurities can attach to a fermion from the sea and form three-body bound states. The energy of these states increase as function of the Fermi momentum $k_F$, leading to three-body bound states below the Fermi energy. The fate of the states depends highly on two- and three-body thresholds and we find evidence of medium-induced Borromean-like states in 2D. The corrections due to particle-hole fluctuations in the Fermi sea are considered in the three-body calculations and we show that in spite of the fact that they strongly affect both the two- and three-body systems, the correction to the point at which the three-body states cease to exist is small.

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F. F. Bellotti, T. Frederico, M. T. Yamashita, D. V. Fedorov, A. S. Jensen, N. T. Zinner. 2016-04-18. Three-body bound states of two bosonic impurities immersed in a Fermi sea in 2D. https://doi.org/10.1088/1367-2630%2F18%2F4%2F043023

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