Bridging coupled wires and lattice Hamiltonian for two-component bosonic quantum Hall states

We investigate a model of hard-core bosons with correlated hopping on the honeycomb lattice in an external magnetic field by means of a coupled-wire approach. It has been numerically shown that this model exhibits at half filling the bosonic integer quantum Hall (BIQH) state, which is a symmetry-protected topological phase protected by the U(1) particle conservation [Y.-C. He et al., Phys. Rev. Lett. 115, 116803 (2015)PRLTAO0031-900710.1103/PhysRevLett.115.116803]. By combining the bosonization approach and a coupled-wire construction, we analytically confirm this finding and show that it even holds in the strongly anisotropic (quasi-one-dimensional) limit. We discuss the stability of the BIQH phase against tunnelings that break the separate particle conservations on different sublattices down to a global particle conservation. We further argue that a phase transition between two different BIQH phases is in a deconfined quantum critical point described by two copies of the (2+1)-dimensional O(4) nonlinear sigma model with the topological θ term at θ=π. Finally, we predict a possible fractional quantum Hall state, the Halperin (221) state, at 1/6 filling.