Quantum Phase Transition between Integer Quantum Hall States of Bosons

Abstract

Bosonic Integer Quantum Hall (IQH) phases are a class of symmetry protected topological (SPT) phases that, similar to the fermionic IQH states, support a quantized Hall conductance. They, however, require interactions for their realization. Here we study quantum Hall plateau transitions between a trivial insulator and a bosonic IQH phase, in a clean system. Generically, we find an intervening superfluid phase. The presence of additional symmetries, however, can potentially lead to a direct transition between these phases. We employ a fermionic parton description that captures both the insulating phases as well as the transition between them. The critical theory is massless QED-3 with Nf = 2 fermion flavors. The fermions have a surprisingly simple interpretation - they are vortices of the superfluid. Therefore the universal conductivity at the transition, assuming it is continuous, equals the universal resistivity of Dirac fermions in QED-3. We also briefly comment on sigma model descriptions of the transition and the surface states of related 3D SPT phases.

11 pages, 3 figures

References in corpus (39)

• Topological Insulators
• Topological insulators and superconductors
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• "Deconfined" quantum critical points
• Continuous Quantum Phase Transitions
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Classification of Gapped Symmetric Phases in 1D Spin Systems
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Topological phases of fermions in one dimension
• Classifying quantum phases using Matrix Product States and PEPS
• Three-Dimensional Topological Insulators
• Braiding statistics approach to symmetry-protected topological phases
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
• 2D symmetry protected topological orders and their protected gapless edge excitations
• The spin quantum Hall effect in unconventional superconductors
• Topological Disorder Operators in Three-Dimensional Conformal Field Theory
• Algebraic spin liquid as the mother of many competing orders
• Emergent Photons and New Transitions in the O(3) Sigma Model with Hedgehog Suppression
• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Integer quantum Hall effect for bosons: A physical realization
• Competing orders, non-linear sigma models, and topological terms in quantum magnets
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Antiferromagnetic to valence-bond-soild transitions in two-dimensional SU(N) Heisenberg models with multi-spin interactions
• Putting competing orders in their place near the Mott transition
• Mott Transition in An Anyon Gas
• Many-body spin Berry phases emerging from the $\pi$-flux state: antiferromagnetic/valence-bond-solid competition
• Universal Magnetic Properties of Frustrated Quantum Antiferromagnets in Two Dimensions
• From an Antiferromagnet to a Valence Bond Solid: Evidence for a First Order Phase Transition
• Non-Compact QED_3 with N_f=1 and N_f=4
• Continuous topological phase transitions between clean quantum Hall states
• Coulomb interactions at quantum Hall critical points of systems in a periodic potential
• Relativity Restored: Dirac Anisotropy in QED${}_3$
• Phase transitions in Z_N gauge theory and twisted Z_N topological phases
• Erratum: algebraic spin liquid as the mother of many competing orders
• Large-N estimates of universal amplitudes of the CP^{N-1} theory and comparison with the JQ model
• Effects of Anisotropy in (2+1)-dimensional QED

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• An Adventure in Topological Phase Transitions in 3 + 1-D: Non-abelian Deconfined Quantum Criticalities and a Possible Duality
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• Continuous phase transition between bosonic integer quantum Hall liquid and trivial insulator: evidences for deconfined quantum criticality
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