Topological superfluidity of lattice fermions inside a Bose-Einstein condensate

Abstract

We calculate the phase diagram of identical fermions in a 2-dimensional (2D) lattice immersed in a 3D Bose-Einstein condensate (BEC). The fermions exchange density fluctuations in the BEC, which gives rise to an attractive induced interaction. The resulting zero temperature phase diagram exhibits topological $p_x+i{p}_y$ superfluid phases as well as a phase separation region. We show how to use the flexibility of the Bose-Fermi mixture to tune the induced interaction, so that it maximises the pairing between nearest neighbour sites, whereas phase separation originating from long range interactions is suppressed. Finally, we calculate the Berezinskii-Kosterlitz-Thouless (BKT) critical temperature of the topological superfluid in the lattice and discuss experimental realisations.

7 pages, 5 figures

References in corpus (23)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Classification of topological insulators and superconductors in three spatial dimensions
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Resonantly-paired fermionic superfluids
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
• p-wave Feshbach molecules
• Direct imaging of topological edge states in cold-atom systems
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Majorana modes and $p$-wave superfluids for fermionic atoms in optical lattices
• State-dependent, addressable subwavelength lattices with cold atoms
• Strongly-resonant p-wave superfluids
• Topological superfluid in a Fermi-Bose mixture with a high critical temperature
• Induced p-wave superfluidity in two dimensions: Brane world in cold atoms and nonrelativistic defect CFTs
• Competing Orders in two-dimensional Bose-Fermi mixtures
• Dipolar fermions in a two-dimensional lattice at non-zero temperature

Cited by in corpus (7)

• Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
• Interactions mediated by atoms, photons, electrons, and excitons
• Interaction induced topological Bogoliubov excitations in a spin-orbit coupled Bose-Einstein condensate
• Tunable boson-assisted finite-range interaction and engineering Majorana corner modes in optical lattices
• Weak three-dimensional mediators of two-dimensional triplet pairing
• Stabilizing Topological Superfluidity of Lattice Fermions
• Effect of mediated interactions on a Hubbard chain in mixed-dimensional fermionic cold atoms