Noninteracting System

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The Experts below are selected from a list of 219 Experts worldwide ranked by ideXlab platform

Hrvoje Buljan - One of the best experts on this subject based on the ideXlab platform.

Lei Wang - One of the best experts on this subject based on the ideXlab platform.

  • Topological phase transition in the Hofstadter-Hubbard model
    Bulletin of the American Physical Society, 2015
    Co-Authors: Hsiang-hsuan Hung, Lei Wang, Matthias Troyer
    Abstract:

    We study the interplay between topological and conventional long range order of attractive fermions in a time reversal symmetric Hofstadter lattice using quantum Monte Carlo simulations, focussing on the case of one-third flux quantum per plaquette. At half-filling, the System is unstable towards s-wave pairing and charge-density-wave order at infinitesimally small interactions. At one-third-filling, the Noninteracting System is a topological insulator, and a nonzero critical interaction strength is needed to drive a transition from the quantum spin Hall insulator to a superfluid. We probe the topological signature of the phase transition by threading a magnetic flux through a cylinder and observe quantized topological charge pumping.

  • Pole expansion of self-energy and interaction effect for topological insulators
    Physical Review B, 2012
    Co-Authors: Lei Wang, Hua Jiang, Xi Dai, Xincheng Xie
    Abstract:

    We study effect of interactions on time-reversal-invariant topological insulators. Their topological indices are expressed by interacting Green's functions. Under the local self-energy approximation, we connect topological index and surface states of an interacting System to an auxiliary Noninteracting System, whose Hamiltonian is related to the pole-expansions of the local self-energy. This finding greatly simplifies the calculation of interacting topological indices and gives an Noninteracting pictorial description of interaction driven topological phase transitions. Our results also bridge studies of the correlated topological insulating materials with the practical dynamical-mean-field-theory calculations.

Xincheng Xie - One of the best experts on this subject based on the ideXlab platform.

  • Pole expansion of self-energy and interaction effect for topological insulators
    Physical Review B, 2012
    Co-Authors: Lei Wang, Hua Jiang, Xi Dai, Xincheng Xie
    Abstract:

    We study effect of interactions on time-reversal-invariant topological insulators. Their topological indices are expressed by interacting Green's functions. Under the local self-energy approximation, we connect topological index and surface states of an interacting System to an auxiliary Noninteracting System, whose Hamiltonian is related to the pole-expansions of the local self-energy. This finding greatly simplifies the calculation of interacting topological indices and gives an Noninteracting pictorial description of interaction driven topological phase transitions. Our results also bridge studies of the correlated topological insulating materials with the practical dynamical-mean-field-theory calculations.

Frane Lunic - One of the best experts on this subject based on the ideXlab platform.

Matthias Troyer - One of the best experts on this subject based on the ideXlab platform.

  • Topological phase transition in the Hofstadter-Hubbard model
    Bulletin of the American Physical Society, 2015
    Co-Authors: Hsiang-hsuan Hung, Lei Wang, Matthias Troyer
    Abstract:

    We study the interplay between topological and conventional long range order of attractive fermions in a time reversal symmetric Hofstadter lattice using quantum Monte Carlo simulations, focussing on the case of one-third flux quantum per plaquette. At half-filling, the System is unstable towards s-wave pairing and charge-density-wave order at infinitesimally small interactions. At one-third-filling, the Noninteracting System is a topological insulator, and a nonzero critical interaction strength is needed to drive a transition from the quantum spin Hall insulator to a superfluid. We probe the topological signature of the phase transition by threading a magnetic flux through a cylinder and observe quantized topological charge pumping.