Bosonic integer quantum Hall states in topological bands with Chern number two

Abstract

We study the interacting bosons in topological Hofstadter bands with Chern number two. Using exact diagonalization, we demonstrate that bosonic integer quantum Hall (BIQH) state emerges at integer boson filling factor $\nu =1$ of the lowest Chern band with evidences including a robust spectrum gap and quantized topological Hall conductance two. Moreover, the robustness of BIQH state against different interactions and next-nearest neighbor hopping is investigated. The strong nearest neighbor interaction would favor a charge density wave. When the onsite interaction decreases, BIQH state undergoes a continuous transition into a superfluid state. Without next-nearest neighbor hopping, the ground state is possibly in a metallic Fermi-liquid-like phase.

7 pages, 6 figures, References added and minor correction

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• Stability, phase transitions, and numerical breakdown of fractional Chern insulators in higher Chern bands of the Hofstadter model
• Two-component quantum Hall effects in topological flat bands
• The anisotropic Harper-Hofstadter-Mott model: competition between condensation and magnetic fields
• Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Continuous phase transition between bosonic integer quantum Hall liquid and trivial insulator: evidences for deconfined quantum criticality
• Visualizing a Bosonic Symmetry Protected Topological Phase in an Interacting Fermion Model
• Bosonic integer quantum Hall effect as topological pumping
• Lattice realization of a bosonic integer quantum Hall state - trivial insulator transition and relation to the self-dual line in the easy-plane NCCP1 model
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Bosonic fractional Chern insulating state at integer fillings in multi-band system
• Fermionic symmetry-protected topological state in strained graphene
• Bosonic Integer Quantum Hall States without Landau Levels on Square Lattice
• Integer quantum Hall effect of two-component hardcore bosons in a topological triangular lattice
• Quasi-one-dimensional Hall physics in the Harper-Hofstadter-Mott model
• Hall-on-Toric: Descendant Laughlin state in the chiral ${\mathbb{Z}}_p$ toric code