Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic $t-J$ model

Abstract

We show that the interplay between antiferromagnetic interaction and hole motion gives rise to a topological superconducting phase. This is captured by the one dimensional anisotropic $t-J$ model which can be experimentally achieved with ultracold polar molecules trapped onto an optical lattice. As a function of the anisotropy strength we find that different quantum phases appear, ranging from a gapless Luttinger liquid to spin gapped conducting and superconducting regimes. In presence of appropriate $z$-anisotropy, we also prove that a phase characterized by non-trivial topological order takes place. The latter is described uniquely by a finite non local string parameter and presents robust edge spin fractionalization. These results allow to explore quantum phases of matter where topological superconductivity is induced by the interaction.

arXiv comment5 pages, 3 figures + 3 pages, 4 figures

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• Out-of-equilibrium phase diagram of long-range superconductors
• Topological quantum critical points in the extended Bose-Hubbard model
• Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations
• Z2 parton phases in the mixed-dimensional $t-J_z$ model
• Interacting second-order topological insulators in one-dimensional fermions with correlated hopping
• Homogeneous and domain wall topological Haldane conductors with dressed Rydberg atoms
• Symmetry-protected Topological Phases in Spinful Bosons with a Flat Band
• Spin and density self-ordering in dynamic polarization gradients fields
• Topological phases arising from attractive interaction and pair hopping in the Extended Hubbard Model
• Enhanced superconductivity and various edge modes in modulated $t$-$J$ chains
• Nonlocal order parameter of pair superfluids
• Lifshitz transition in the phase diagram of two-leg $t$-$J$ ladder systems at low filling
• Fundamental role of nonlocal orders in 1D Extended Bose-Hubbard Model
• Asymptotic behavior of correlation functions of one-dimensional polar-molecules on optical lattices
• Effect of phase string on single-hole dynamics in the two-leg Hubbard ladder