Anyonic Haldane insulator in one dimension

Abstract

We demonstrate numerically the existence of a nontrivial topological Haldane phase for the one-dimensional extended ($U$-$V$) Hubbard model with a mean density of one particle per site, not only for bosons but also for anyons, despite a broken reflection parity symmetry. The Haldane insulator, surrounded by superfluid, Mott insulator and density-wave phases in the $V$-$U$ parameter plane, is protected by combined (modified) spatial-inversion and time-reversal symmetries, which is verified within our matrix-product-state based infinite density-matrix renormalization group scheme by analyzing generalized transfer matrices. With regard to an experimental verification of the anyonic Haldane insulator state the calculated asymmetry of the dynamical density structure factor should be of particular importance.

arXiv comment5 pages, 3 figures + 1 page supplemental material, accepted for publication in Phys. Rev. Lett

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Cited by in corpus (20)

• Bosonic continuum theory of one-dimensional lattice anyons
• Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics
• Density waves in strongly correlated quantum chains
• Non-equilibrium Floquet steady states of time-periodic driven Luttinger liquids
• Realizing the Haldane Phase with Bosons in Optical Lattices
• Strongly repulsive anyons in one dimension
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Three-body interaction effects on the ground state of one-dimensional anyons
• Symmetry-protected Topological Phases in Spinful Bosons with a Flat Band
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• 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
• Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
• Statistics-tuned phases of pseudofermions in one dimension
• Quantum walk of two anyons across a statistical boundary
• Coherence Properties of the Repulsive Anyon-Hubbard Dimer
• Thermodynamics of Statistical Anyons
• Chirally-protected state manipulation by tuning one-dimensional statistics
• Emergent Haldane phase in an alternating bond ${\mathbb{Z}}_3$ parafermion chain