Monte Carlo study of fermionic trions in a square lattice with harmonic confinement
arXiv:1202.4021 · doi:10.1103/PhysRevA.86.013633
Abstract
We investigate the strong-coupling limit of a three-component Fermi mixture in an optical lattice with attractive interactions. In this limit bound states (trions) of the three components are formed. We derive an effective Hamiltonian for these composite fermions and show that it is asymptotically equivalent to an antiferromagnetic Ising model. By using Monte-Carlo simulations, we investigate the spatial arrangement of the trions and the formation of a trionic density wave (CDW), both in a homogeneous lattice and in the presence of an additional harmonic confinement. Depending on the strength of the confinement and on the temperature, we found several scenarios for the trionic distribution, including coexistence of disordered trions with CDW and band insulator phases. Our results show that, due to a proximity effect, staggered density modulations are induced in regions of the trap where they would not otherwise be present according to the local density approximation.
10 pages, 8 figures
References in corpus (18)
- 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
- Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
- Novel ordering of an S = 1/2 quasi one-dimensional Ising-like anitiferromagnet in magnetic field
- BCS pairing in Fermi systems with several flavors
- Trionic phase of ultracold fermions in an optical lattice: A variational study
- Detection and manipulation of nuclear spin states in fermionic strontium
- Néel transition of lattice fermions in a harmonic trap: a real-space DMFT study
- Magnetism and domain formation in SU(3)-symmetric multi-species Fermi mixtures
- Competing superfluid and density-wave ground-states of fermionic mixtures with mass imbalance in optical lattices
- Mott Transitions of Three-Component Fermionic Atoms with Repulsive Interaction in Optical Lattices
- Canted Antiferromagnetic Order of Imbalanced Fermi-Fermi mixtures in Optical Lattices by Dynamical Mean-Field Theory
- Exact diagonalization study of the trionic crossover and the trion liquid in the attractive three-component Hubbard model
- Color Superfluid and Trionic State of Attractive Three-Component Lattice Fermionic Atoms at Finite Temperatures