Trionic phase of ultracold fermions in an optical lattice: A variational study

Details Trionic phase of ultracold fermions in an optical lattice: A variational study Trionic phase of ultracold fermions in an optical lattice: A variational study

2007-07-16

arxiv.org/abs/0707.2378v2

Phys. Rev. B 77, 144520 (2008)

Physics

Condensed Matter

Superconductivity

14 PRB pages, 8 figures

Scientific paper

10.1103/PhysRevB.77.144520

To investigate ultracold fermionic atoms of three internal states (colors) in an optical lattice, subject to strong attractive interaction, we study the attractive three-color Hubbard model in infinite dimensions by using a variational approach. We find a quantum phase transition between a weak-coupling superconducting phase and a strong-coupling trionic phase where groups of three atoms are bound to a composite fermion. We show how the Gutzwiller variational theory can be reformulated in terms of an effective field theory with three-body interactions and how this effective field theory can be solved exactly in infinite dimensions by using the methods of dynamical mean field theory.

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