## Topological Invariant and Quantum Spin Models from Magnetic pi Fluxes in Correlated Topological Insulators

Please always quote using this URN: urn:nbn:de:bvb:20-opus-129849

- The adiabatic insertion of a \(\pi\) flux into a quantum spin Hall insulator gives rise to localized spin and charge fluxon states. We demonstrate that \(\pi\) fluxes can be used in exact quantum Monte Carlo simulations to identify a correlated \(Z_2\) topological insulator using the example of the Kane-Mele-Hubbard model. In the presence of repulsive interactions, a \(\pi\) flux gives rise to a Kramers doublet of spin-fluxon states with a Curie-law signature in the magnetic susceptibility. Electronic correlations also provide a bosonic mode ofThe adiabatic insertion of a \(\pi\) flux into a quantum spin Hall insulator gives rise to localized spin and charge fluxon states. We demonstrate that \(\pi\) fluxes can be used in exact quantum Monte Carlo simulations to identify a correlated \(Z_2\) topological insulator using the example of the Kane-Mele-Hubbard model. In the presence of repulsive interactions, a \(\pi\) flux gives rise to a Kramers doublet of spin-fluxon states with a Curie-law signature in the magnetic susceptibility. Electronic correlations also provide a bosonic mode of magnetic excitons with tunable energy that act as exchange particles and mediate a dynamical interaction of adjustable range and strength between spin fluxons. \(\pi\) fluxes can therefore be used to build models of interacting spins. This idea is applied to a three-spin ring and to one-dimensional spin chains. Because of the freedom to create almost arbitrary spin lattices, correlated topological insulators with \(\pi\) fluxes represent a novel kind of quantum simulator, potentially useful for numerical simulations and experiments.…

Author: | F. F. Assaad, M. Bercx, M. Hohenadler |
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URN: | urn:nbn:de:bvb:20-opus-129849 |

Document Type: | Journal article |

Faculties: | Fakultät für Physik und Astronomie / Institut für Theoretische Physik und Astrophysik |

Language: | English |

Parent Title (English): | Physical Review X |

Year of Completion: | 2013 |

Volume: | 3 |

Issue: | 1 |

Source: | Physical Review X 3, 011015 (2013). DOI: 10.1103/PhysRevX.3.011015 |

DOI: | https://doi.org/10.1103/PhysRevX.3.011015 |

Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |

Tag: | strongly correlated materials; topological insulators |

Release Date: | 2016/07/01 |

Licence (German): | CC BY: Creative-Commons-Lizenz: Namensnennung |