# Continuous phase transition between bosonic integer quantum Hall liquid and trivial insulator: evidences for deconfined quantum criticality

## TL;DR

This paper provides evidence for a continuous phase transition between a bosonic integer quantum Hall state and a trivial insulator in a 2D honeycomb lattice, supporting the existence of deconfined quantum criticality beyond 1D systems.

## Contribution

It identifies a bosonic integer quantum Hall phase in a 2D lattice and demonstrates a continuous transition to a trivial insulator with critical behavior consistent with emergent QED3.

## Key findings

- Bosonic integer quantum Hall phase identified in 2D honeycomb lattice.
- Transition to trivial insulator is continuous with smooth observable evolution.
- Critical point exhibits entanglement entropy scaling matching QED3 theory.

## Abstract

The deconfined quantum critical point, a prototype Landau-forbidden transition, could exist in principle in the phase transitions involving symmetry protected topological phase, however, examples of such kinds of transition in physical systems are rare beyond one-dimensional systems. Here, using density-matrix renormalization group calculation, we unveil a bosonic integer quantum Hall phase in two-dimensional correlated honeycomb lattice, by full identification of its internal structure from the topological $\mathbf{K}$ matrix. Moreover we demonstrate that imbalanced periodic chemical potentials can destroy the bosonic integer quantum Hall state and drive it into a featureless trivial (Mott) insulator, where all physical observables evolve smoothly across the critical point. At the critical point the entanglement entropy reveals a characteristic scaling behavior, which is consistent with the critical field theory as an emergent QED$_3$ with two flavors of Dirac fermions.