Speaker
Yohei Fuji
Description
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. 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 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 a topological theta term. Finally we predict a
possible fractional quantum Hall state, the Halperin (221)
state, at 1/6 filling.
