Exact diagonalization study of the trionic crossover and the trion liquid in the attractive three-component Hubbard model
arXiv:1002.2110 · doi:10.1103/PhysRevB.82.094521
Abstract
We investigate the trion formation and the effective trionic properties in the attractive Hubbard model with three fermionic colors using exact diagonalization. The crossover to the trionic regime with colorless compound fermions upon increasing strength of the onsite attraction parameter U features smoothly evolving ground state properties and exhibits clear similarities to the BCS/BEC-crossover for two colors. In the excitation spectrum, there is a clear gap opening between a band of well-defined trions and excitations of broken-up trions at U_c ~ 1.8t. This picture remains the same away from the SU(3)-symmetric point. The spatial pairing correlations for colored Cooper pairs are compatible with a power-law at small attractions and change to an exponential decay above the trionic crossover. Furthermore, we show that the effective trionic liquid for U > U_c can be well modeled with spinless 'heavy' fermions interacting with a strong nearest neighbor repulsion.
9 pages, 8 figures, changed figure 6, fixed typos, added definitions, motivated choice of considered quantities
References in corpus (14)
- Collisional stability of a three-component degenerate Fermi gas
- Degenerate Fermi Gases of Ytterbium
- Ultracold fermions and the SU(N) Hubbard model
- Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
- Three-body recombination in a three-state Fermi gas with widely tunable interactions
- Color Superfluidity and "Baryon" Formation in Ultracold Fermions
- Superfluidity and magnetism in multicomponent ultracold fermions
- BCS pairing in Fermi systems with several flavors
- Trionic phase of ultracold fermions in an optical lattice: A variational study
- Pairing in a three component Fermi gas
- Three-Component Fermi Gas in a one-dimensional Optical Lattice
- Three-body loss in lithium from functional renormalization
- Stability of Inhomogeneous Multi-Component Fermi Gases
- Imbalanced thee-component Fermi gas with attractive interactions: Multiple FFLO-pairing, Bose-Fermi and Fermi-Fermi mixtures versus collapse and phase separation