Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model

Abstract

We theoretically investigate topological properties of the one-dimensional superlattice anyon-Hubbard model, which can be mapped to a superlattice bose-Hubbard model with an occupation-dependent phase factor by fractional Jordan-Wigner transformation. The topological anyon-Mott insulator is identified by topological invariant and edge modes using exact diagonalization and density-matrix renormalization-group algorithm. When only the statistical angle is varied and all other parameters are fixed, a statistically induced topological phase transition can be realized, which provides new insights into the topological phase transitions. What's more, we give an explanation of the statistically induced topological phase transition. The topological anyon-Mott phases can also appear in a variety of superlattice anyon-Hubbard models.

arXiv comment7 pages, 8 figures, comments are welcome

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• Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
• Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms
• Statistics-tuned phases of pseudofermions in one dimension
• Topological end states in a one-dimensional spatially modulated interaction spinless fermion model
• Solution of one-dimensional Bose Hubbard model in large-$U$ limit