Chiral bosonic topological insulator on the honeycomb lattice with anisotropic interactions

2020/12/21 by Amrita Ghosh, Eytan Grosfeld
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Boson #Condensed matter physics #Frustration #Lattice (music) #Mathematics #Monte Carlo method #Phase (matter) #Phase diagram #Physics #Quantum #Quantum Monte Carlo #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Topological Materials and Phenomena #Topological insulator #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.103.205118

published as Phys. Rev. B 103, 205118 (2021)

arxiv created 2020/12/21 · openalex publication_date 2021/05/10 · arxiv updated 2021/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study hard-core bosons on the honeycomb lattice in the presence of anisotropic nearest-neighbor repulsive interactions. Using a quantum Monte Carlo (QMC) technique, we extract the phase diagram of the model in terms of the filling and the anisotropy. At half-filling we find a dimer insulator phase near maximum anisotropy that is characterized by a finite topological entanglement entropy ln(2)/2, indicative of a fractional quantum Hall state for bosons. We identify the presence of edge states and derive a QMC-based method to extract and verify their chirality. Remarkably, this phase arises in the absence of magnetic flux and without explicit lattice frustration.

Citations

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