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@ARTICLE{Macaluso:878333,
      author       = {Macaluso, E. and Comparin, T. and Umucalılar, R. O. and
                      Gerster, M. and Montangero, S. and Rizzi, Matteo and
                      Carusotto, I.},
      title        = {{C}harge and statistics of lattice quasiholes from density
                      measurements: {A} tree tensor network study},
      journal      = {Physical review research},
      volume       = {2},
      number       = {1},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2020-02785},
      pages        = {013145},
      year         = {2020},
      abstract     = {We numerically investigate the properties of the quasihole
                      excitations above the bosonic fractional Chern insulator
                      state at filling $\nu=1/2$, in the specific case of the
                      Harper-Hofstadter Hamiltonian with hard-core interactions.
                      For this purpose, we employ a tree tensor network technique,
                      which allows us to study systems with up to N=18 particles
                      on a 16×16 lattice and experiencing an additional harmonic
                      confinement. First, we observe the quantization of the
                      quasihole charge at fractional values and its robustness
                      against the shape and strength of the impurity potentials
                      used to create and localize such excitations. Then, we
                      numerically characterize quasihole anyonic statistics by
                      applying a discretized version of the relation connecting
                      the statistics of quasiholes in the lowest Landau level to
                      the depletions they create in the density profile [E.
                      Macaluso et al., Phys. Rev. Lett. 123, 266801 (2019)]. Our
                      results give a direct proof of the anyonic statistics for
                      quasiholes of fractional Chern insulators, starting from a
                      realistic Hamiltonian. Moreover, they provide strong
                      indications that this property can be experimentally probed
                      through local density measurements, making our scheme
                      readily applicable in state-of-the-art experiments with
                      ultracold atoms and superconducting qubits.},
      cin          = {PGI-8},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-8-20190808},
      pnm          = {142 - Controlling Spin-Based Phenomena (POF3-142) / 522 -
                      Controlling Spin-Based Phenomena (POF3-522)},
      pid          = {G:(DE-HGF)POF3-142 / G:(DE-HGF)POF3-522},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000602489700003},
      doi          = {10.1103/PhysRevResearch.2.013145},
      url          = {https://juser.fz-juelich.de/record/878333},
}