Majorana fermions in quasi-1D and higher dimensional ultracold fermionic optical lattices

Abstract

We show that Majorana fermions (MFs) exist in two- and three-dimensional (2D,3D) fermionic optical lattices with strictly 1D spin-orbit coupling (SOC) which has already been realized in ex- periments. For a quasi-1D topological BCS superfluid, there are multiple MFs at each end which are topologically protected by a chiral symmetry. In the generalization to higher dimensions, the multiple MFs form a zero energy flat band. An additional experimentally tunable in-plane Zeeman field drives the system to a topological Fulde-Ferrell (FF) superfluid phase. We find that even though the multiple MFs are robust against the in-plane Zeeman field if the order parameters at the different chains are enforced to be identical, they are destroyed in the self-consistently obtained FF phase where the order parameters are inhomogeneous on the boundaries. Our results are useful to guide the experimentalists on searching for MFs in the context of ultracold fermionic atoms.

7 pages with supplemental material, 7 figures

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Cited by in corpus (8)

• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Controlling Majorana hybridization in magnetic chain-superconductor systems
• Orbital hybridized topological Fulde-Ferrel superfluidity in a noncentrosymmetric optical lattice
• 1D topological chains with Majorana fermions in 2D non-topological optical lattices
• Synthetic spin-orbit coupling for the multispin models in optical lattices
• Implementing Majorana fermions in a cold-atom honeycomb lattice with textured pairings
• Boundary states in the chiral symmetric systems with a spatial symmetry
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance