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

Journal Article · Tue Apr 01 00:00:00 EDT 2008 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.77.144520· OSTI ID:21143277

Rapp, Akos; Zarand, Gergely ^[1]; Hofstetter, Walter ^[2]

---

1. Theoretical Physics Department, Institute of Physics, Budapest University of Technology and Economy, Budapest H-1521 (Hungary)
2. Johann Wolfgang Goethe-Universitaet, D-60438 Frankfurt am Main (Germany)

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.

• OSTI ID: 21143277
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 77, Issue 14; Other Information: DOI: 10.1103/PhysRevB.77.144520; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATOMS
BOSE-EINSTEIN CONDENSATION
COLOR
COUPLING
FERMIONS
FIELD THEORIES
HUBBARD MODEL
INTERACTIONS
LATTICE FIELD THEORY
MEAN-FIELD THEORY
PHASE TRANSFORMATIONS
STRONG INTERACTIONS
STRONG-COUPLING MODEL
SUPERCONDUCTIVITY
TEMPERATURE RANGE 0000-0013 K
THREE-BODY PROBLEM
VARIATIONAL METHODS
WEAK-COUPLING MODEL