Chiralf-wave topological superfluid in triangular optical lattices

Abstract

We demonstrate that an exotically chiral f -wave topological superfluid can be induced in coldfermionic-atom triangular optical lattices through the laser-field-generated effective non-Abelian gauge field, controllable Zeeman fields and s-wave Feshbach resonance. We find that the chiral f -wave topological superfluid is characterized by three gapless Majorana edge states located on the boundary of the system. More interestingly, these Majorana edge states degenerate into one Majorana fermion bound to each vortex in the superfluid. Our proposal enlarges topological superfluid family and specifies a unique experimentally controllable system to study the Majorana fermion physics.

Quantum Gas of Polar Molecules Ensembles at Ultralow Temperatures: f-wave Superfluids

“…In the same context, Hung et al [21] found that frustrated Cooper pairing in the p-orbital bands in triangular lattice with ultracold spinless fermions exhibits an unconventional supersolid state with the f -wave symmetry. Likewise, a chiral f -wave topological superfluid can be induced in cold fermionic-atom optical lattices through the laser-field-generated effective non-Abelian gauge field, controllable Zeeman fields and s-wave Feshbach resonance [22].…”

Topological orbital superfluid with chirald-wave order in a rotating optical lattice

“…For fermions, however, it is still a big challenge to realize superfluid states with chiral odd-frequency orders because the atom loss is strong near the Feshbach resonance in high-frequency channels [24]. Theoretically, thanks to the Rashba spin-orbital couplings, the topological superfluids of fermions with chiral odd-frequency orders have been proposed to emerge in the s-wave channel of the Feshbach resonance [25][26][27][28]. In comparison with the well-studied chiral odd-frequency superfluids of fermions, the superfluids of fermions with chiral even-frequency orders are rarely studied, and only some candidate materials are proposed to have the chiral even-frequency orders due to the OPEN ACCESS RECEIVED…”

“…Theoretically, thanks to the Rashba spin-orbital couplings, the topological superfluids of fermions with chiral odd-frequency orders have been proposed to emerge in s-wave channel of the Feshbach resonance. [25][26][27][28] . In comparison with well-studied chiral odd-frequency superfluids of fermions, the superfluids of fermions with chiral even-frequency orders are rarely studied, and only some candidate materials are proposed to have the chiral even-frequency orders due to the unconventional superconducting pairing in condensed-matter systems [29][30][31][32] .…”

“…These features can be experimentally adopted to verify the topologically non-trivial superfluid states. In comparison with the chiral p-wave and f -wave topological superconductor and superfluid 25,26,28,[34][35][36][37][38][39][40] , where the spin-orbital couplings are essential, the chiral d-wave topological superfluid here only requires the orbital hybridization. Therefore, our proposal provides a possible route to explore topological superfluids with chiral d-wave order in multi-orbital cold-atom systems.The paper is organized as follows.…”

Quantum Hall effects in a non-Abelian honeycomb lattice

“…On the other hand, the development of laser and ultracold atom techniques gives rise to various optical lattices in which ultracold Fermi atoms can be trapped to simulate the phenomena in condensed-matter systems [7][8][9][10][11][12][13] , such as the topological Mott insulator 14 (MI) and superfluid (SF)-MI transition 15,16 . More significantly, in a laser field with a specific configuration, the trapped ultracold atoms can feel effective Abelian or non-Abelian gauge fields 17,18 .…”