Three-component fermionic atoms with repulsive interaction in optical lattices

Abstract

We investigate three-component (colors) repulsive fermionic atoms in optical lattices using the dynamical mean-field theory. Depending on the anisotropy of the repulsive interactions, either a color density-wave state or a color-selective staggered state appears at half filling. In the former state, pairs of atoms with two of the three colors and atoms with the third color occupy different sites alternately. In the latter state, atoms with two of the three colors occupy different sites alternately and atoms with the third color are itinerant throughout the system. When the interactions are isotropic, both states are degenerate. We discuss the results using an effective model.

Controlled pairing symmetry of the superfluid state in systems of three-component repulsive fermionic atoms in optical lattices

“…4(b). Since q = (π, π) describes the perfect nesting condition for the CSAF that appears at half filling for U/U ′ > 1 [21,25], the results indicate that the large repulsive peak inŨ (q) is caused by quantum fluctuations of the CSAF. We thus conclude that the CSAF fluctuations induce the d x 2 −y 2 -wave superfluid state.…”

“…When two of the three repulsions are weaker than the other, atoms with the strongest repulsion undergo a Mott transition while atoms with the remaining color stay a Fermi liquid. This state is called the color-selective Mott state (CSM) [21,22]. In the ground state at half filling, two kinds of the staggered ordered states appear in the respective parameter regions: a color-density wave (CDW) and a color-selective antiferromagnet (CSAF) [21].…”

Ground-state phase diagram of the repulsive SU(3) Hubbard model in the Gutzwiller approximation

“…This, on one hand, is a good approximation to the density of states of a d = 3 simple cubic lattice with nearest-neighbor hopping, while on the other hand it allows us to compare our results quantitatively to DMFT studies, which used the same bare DOS (see Refs. [17] and [18]). …”

“…More recently, Gorelik and Blümer [17] performed paramagnetic dynamical mean field theory (DMFT) calculations to discuss the Mott phases. Finally, Miyatake, Inaba, and Suga [18] studied two-sublattice ordering and Mott transitions at half filling as a function of the anisotropy in the interactions between the components using DMFT. Nevertheless, a comprehensive study of the phase diagram for arbitrary fillings is still missing.…”

Triple dot system coupled to topological insulators: A numerical renormalization group analysis of the SU(3) attractive Anderson model

“…Recent theoretical and experimental studies have addressed more exotic problems, such as the formation of a SU(4) Kondo state in carbon nanotubes or in double dot systems [4,5,6]. Furthermore, the possibility of forming a SU(3) Kondo state, both in solid state devices and in optical lattices has been proposed [7,8,9,10,11]. The transport and spectral properties of a repulsive SU(3) Anderson model was thoroughly investigated in Refs.…”