Polaron-molecule transitions in a two-dimensional Fermi gas

Details Polaron-molecule transitions in a two-dimensional Fermi gas Polaron-molecule transitions in a two-dimensional Fermi gas

2011-02-27

arxiv.org/abs/1102.5534v2

Phys. Rev. A 83, 051603(R) (2011)

Physics

Condensed Matter

Quantum Gases

4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.83.051603

We address the problem of a single "spin-down" impurity atom interacting attractively with a spin-up Fermi gas in two dimensions (2D). We consider the case where the mass of the impurity is greater than or equal to the mass of a spin-up fermion. Using a variational approach, we resolve the questions raised by previous studies and we show that there is, in fact, a transition between polaron and molecule (dimer) ground states in 2D. For the molecule state, we use a variational wave function with a single particle-hole excitation on the Fermi sea and we find that its energy matches that of the exact solution in the limit of infinite impurity mass. Thus, we expect the variational approach to provide a reliable tool for investigating 2D systems.

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