Topological superfluids on a lattice with non-Abelian gauge fields

Abstract

Two-component fermionic superfluids on a lattice with an external non-Abelian gauge field give access to a variety of topological phases in presence of a sufficiently large spin imbalance. We address here the important issue of superfluidity breakdown induced by spin imbalance by a self-consistent calculation of the pairing gap, showing which of the predicted phases will be experimentally accessible. We present the full topological phase diagram, and we analyze the connection between Chern numbers and the existence of topologically protected and non-protected edge modes. The Chern numbers are calculated via a very efficient and simple method.

6 pages, 5 figures to be published in Europhysics Letters

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Cited by in corpus (29)

• Seeing topological order in time-of-flight measurements
• Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
• Majorana modes in time-reversal invariant s-wave topological superconductors
• Stability of spin-orbit coupled Fermi gases with population imbalance
• Topological superfluid in a trapped two-dimensional polarized Fermi gas with spin-orbit coupling
• Quantum phases of atomic Fermi gases with anisotropic spin-orbit coupling
• Low-density molecular gas of tightly-bound Rashba-Dresselhaus fermions
• Multiband s-wave topological superconductors: role of dimensionality and magnetic field response
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• Ultracold atoms in U(2) non-Abelian gauge potentials preserving the Landau levels
• Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
• Fulde-Ferrell superfluidity in ultracold Fermi gases with Rashba spin-orbit coupling
• Superfluid-Insulator transition of ultracold atoms in an optical lattice in the presence of a synthetic magnetic field
• Spontaneous magnetization and anomalous Hall effect in an emergent Dice lattice
• From antiferromagnetic order to magnetic textures in the two dimensional Fermi Hubbard model with synthetic spin orbit interaction
• Spin-orbit-coupled atomic Fermi gases in two-dimensional optical lattices in the presence of a Zeeman field
• Topologically protected mid-gap states induced by impurity in one-dimensional superlattices
• $SU(3)$ Topological Insulators in the Honeycomb Lattice
• Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases
• Mass-imbalanced Fermi gases with spin-orbit coupling
• Coexistence of topological and nontopological Fermi-superfluid phases
• Topological superfluids on a square optical lattice with non-Abelian gauge fields: Effects of next-nearest-neighbor hopping in the BCS-BEC evolution
• Topological Phase Separation In Trapped Ultracold Fermionic Gases
• Normal state properties of spin-orbit coupled Fermi gases in the upper branch of energy spectrum
• A New Non-Abelian Topological Phase of Cold Fermi Gases in Anisotropic and Spin-Dependent Optical Lattices
• Topological phase transitions on a triangular optical lattice with non-Abelian gauge fields
• Topological superfluid of spinless Fermi gases in p-band honeycomb optical lattices with on-site rotation