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 the presence of appropriate z anisotropy, we also prove that a phase characterized by nontrivial topological order takes place. The latter is described uniquely by a finite nonlocal string parameter and presents robust edge spin fractionalization. These results allow us to explore quantum phases of matter where topological superconductivity is induced by the interaction.

Interaction-Induced Fractionalization and Topological Superconductivity in the Polar Molecules Anisotropic t−J Model / Fazzini, Serena; Barbiero, Luca; Montorsi, Arianna. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 122:10(2019), pp. 106402-1-106402-6. [10.1103/PhysRevLett.122.106402]

Interaction-Induced Fractionalization and Topological Superconductivity in the Polar Molecules Anisotropic t−J Model

Fazzini, Serena;Barbiero, Luca;Montorsi, Arianna
2019

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 the presence of appropriate z anisotropy, we also prove that a phase characterized by nontrivial topological order takes place. The latter is described uniquely by a finite nonlocal string parameter and presents robust edge spin fractionalization. These results allow us to explore quantum phases of matter where topological superconductivity is induced by the interaction.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2729158