Orbital hybridized topological Fulde-Ferrel superfluidity in a noncentrosymmetric optical lattice

Abstract

Topological phases like topological insulators or superconductors are fascinating quantum states of matter, featuring novel properties such as emergent chiral edge states or Majorana fermions with non-Abelian braiding statistics. The recent experimental implementation of optical lattices with highly tunable geometry in cold gases opens up a new thrust on exploring these novel quantum states. Here we report that the topological non-trivial Bloch bands can arise naturally in a noncentrosymmetric lattice. It induces a controllable orbital hybridization, producing the topological band structure. In such bands, when considering attractive fermionic atoms, we find a topological Fulde-Ferrell superfluid state with finite center-of-mass momentum in the presence of onsite rotation. This topological superfluid supports Majorana fermions on its edges. Experimental signatures are predicted for cold gases in radio-frequency spectroscopy.

6 pages, 4 figures

References in corpus (21)

• Classification of topological insulators and superconductors in three spatial dimensions
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Experimental realization of a two-dimensional synthetic spin-orbit coupling in ultracold Fermi gases
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Weyl semimetals from noncentrosymmetric topological insulators
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Topological orbital ladders
• Orbital analogue of quantum anomalous Hall effect in $p$-band systems
• Tomographic RF Spectroscopy of a Trapped Fermi Gas at Unitarity
• Orbital ordering and frustration of $p$-band Mott-insulators
• Topologically protected flat zero-energy surface bands in non-centrosymmetric superconductors
• Orbital order in Mott insulators of spinless p-band fermions
• Observing Chiral Superfluid Order by Matter-Wave Interference
• Nonuniform states in noncentrosymmetric superconductors
• Shaping topological properties of the band structures in a shaken optical lattice
• Pair formation and collapse in imbalanced Fermion populations with unequal masses
• Spin-momentum coupled Bose-Einstein condensates with lattice band pseudospins
• Gapless topological Fulde-Ferrell superfluidity induced by in-plane Zeeman field
• Three-dimensional spin-orbit coupled Fermi gases: Fulde-Ferrell pairing, Majorana fermions, Weyl fermions and gapless topological superfluidity
• Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap

Cited by in corpus (6)

• Physics of higher orbital bands in optical lattices: a review
• Realization of a cross-linked chiral ladder with neutral fermions in an optical lattice by orbital-momentum coupling
• Detecting $\pi$-phase superfluids with $p$-wave symmetry in a quasi-1D optical lattice
• Chiral orbital magnetism of $p$-orbital bosons in optical lattices
• Topological orbital superfluid with chiral d-wave order in a rotating optical lattice
• Emergent interlayer nodal superfluidity of a dipolar fermi gas in bilayer optical lattices