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

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.

arXiv comment6 pages, 6 figures

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• Building models of topological quantum criticality from pivot Hamiltonians
• Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition
• Accurate neural quantum states for interacting lattice bosons
• Bosonic fractional Chern insulating state at integer fillings in multi-band system
• Chern number matrix of the non-Abelian spin-singlet fractional quantum Hall effect
• Quantum Hall effects of exciton condensate in topological flat bands
• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
• Phase transitions of bosonic fractional quantum Hall effect in topological flat bands
• Integer quantum Hall effect of two-component hardcore bosons in a topological triangular lattice
• Magneto-optical Kerr effect in pump-probe setups
• Bosonic Halperin fractional quantum Hall effect at filling factor $\nu =2/5$