Color-selective Mott transition and color superfluid of three-component fermionic atoms with repulsive interaction in optical lattices

Miyatake, Shin-ya; Suga, Sei–ichiro

doi:10.1016/j.physc.2009.11.162

Cited by 7 publications

(8 citation statements)

References 7 publications

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“…We also find that the low energy fix point has a higher symmetry with respect to interaction between modes that the original model, signalling a dynamically emergent symmetry. This phenomenon was previously observed in the context of three leg ladders [61][62][63][64][65][66][67][68][69][70][71][72]. In our case, the massive phases are ground states of a Hamiltonian that is obtained by marginal deformations of an emergent SU(3) symmetry, which is not present in the UV, but that manifest itself in the IR.…”

Section: Discussion and Outlooksupporting

confidence: 77%

Interplay between intrinsic and emergent topological protection on interacting helical modes

2019

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The interplay between topology and interactions on the edge of a two dimensional topological insulator with time reversal symmetry is studied. We consider a simple non-interacting system of three helical channels with an inherent Z2 topological protection, and hence a zero-temperature conductance of G = e 2 /h. We show that when interactions are added to the model, the ground state exhibits two different phases as function of the interaction parameters. One of these phases is a trivial insulator at zero temperature, as the symmetry protecting the non-interacting topological phase is spontaneously broken. In this phase there is zero conductance (G = 0) at zerotemperature. The other phase displays enhanced topological properties, with a topologically protected zero-temperature conductance of G = 3e 2 /h and an emergent Z3 symmetry not present in the lattice model. The neutral sector in this phase is described by a massive version of Z3 parafermions. This state is an example of a dynamically enhanced symmetry protected topological state.

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Section: Discussion and Outlooksupporting

confidence: 77%

Interplay between intrinsic and emergent topological protection on interacting helical modes

2019

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“…In this case, the itinerant atoms in the CSMT state acts as free fermions. When the interactions are isotropic, there is no Mott transition [10,18] and the FL remains with increasing U/t as shown in Fig. 3(b).…”

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confidence: 88%

“…When the two stronger interactions are nearly the same, there is a direct transition from the FL to the PMI with increasing U/t. In the FL state close to this direct transition line, we can expect pair fluctuations to be enhanced, which may yield superconducting fluctuations under appropriate conditions [18].…”

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confidence: 96%

Mott transitions of three-component fermionic atoms with repulsive interaction in optical lattices

Miyatake

Suga

2010

Phys. Rev. A

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We investigate the Mott transitions of three-component (colors) repulsive fermionic atoms in optical lattices using the dynamical mean-field theory. We find that for SU(3) symmetry-breaking interactions, the Mott transition occurs at incommensurate half filling. As a result, a characteristic Mott insulating state appears, where paired atoms with two different colors and atoms with the third color are localized, and either of these states is randomly distributed in each site. We also find another Mott state, where atoms with two different colors are randomly localized at different sites, and atoms with the third color remain itinerant. We demonstrate that double occupancy measurements show characteristics of these exotic Mott phases.

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“…Hamiltonian (1) generalizes the models of Refs. [17][18][19][20][21][22]. For V 1 = V 2 , and V 3 = 0, it reduces to the SU(3) Hubbard model.…”

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confidence: 99%

“…For example, at an interface of two domains with p x + ip y and p x − ip y order, chiral zero mode fermions may arise. Finally, other lattices and the limit of small interactions, where related models show non-trivial color-superfluidity [17,18,21], are also interesting.…”

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confidence: 99%

Orbital order of spinless fermions near an optical Feshbach resonance

et al. 2011

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We study the quantum phases of a three-color Hubbard model that arises in the dynamics of the p-band orbitals of spinless fermions in an optical lattice. Strong, color-dependent interactions are induced by an optical Feshbach resonance. Starting from the microscopic scattering properties of ultracold atoms, we derive the orbital exchange constants at 1/3 filling on the cubic optical lattice. Using this, we compute the phase diagram in a Gutzwiller ansatz. We find novel phases with 'axial orbital order' in which pz and px + ipy (or px - ipy) orbitals alternate.Comment: 4+epsilon pages, 3 figures. Similar to version published in PRA(R

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Color-selective Mott transition and color superfluid of three-component fermionic atoms with repulsive interaction in optical lattices

Cited by 7 publications

References 7 publications

Interplay between intrinsic and emergent topological protection on interacting helical modes

Interplay between intrinsic and emergent topological protection on interacting helical modes

Mott transitions of three-component fermionic atoms with repulsive interaction in optical lattices

Orbital order of spinless fermions near an optical Feshbach resonance

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