Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states

Abstract

We study quantum phase transitions in Bose-Fermi mixtures driven by interspecies interaction in the quantum Hall regime. In the absence of such an interaction, the bosons and fermions form their respective fractional quantum Hall (FQH) states at certain filling factors. A symmetry-protected topological (SPT) state is identified as the ground state for strong interspecies interaction. The phase transitions between them are proposed to be described by Chern-Simons-Higgs field theories. For a simple microscopic Hamiltonian, we present numerical evidence for the existence of the SPT state and a continuous transition to the FQH state. It is also found that the entanglement entropy between the bosons and fermions exhibits scaling behavior in the vicinity of this transition.

arXiv comment9 pages, 6 figures

References in corpus (69)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• The density-matrix renormalization group in the age of matrix product states
• Classification of topological insulators and superconductors in three spatial dimensions
• Quantum Spin Hall Effect
• Periodic table for topological insulators and superconductors
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Topological Bands for Ultracold Atoms
• Signatures of Fractional Quantum Anomalous Hall States in Twisted MoTe2 Bilayer
• Observation of Fractionally Quantized Anomalous Hall Effect
• Symmetry Protected Topological phases of Quantum Matter
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
• Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
• Topological quantum matter with cold atoms
• Microscopy of the interacting Harper-Hofstadter model in the few-body limit
• A Mixture of Bose and Fermi Superfluids
• Observation of Laughlin states made of light
• Quantum fidelity and quantum phase transitions in matrix product states
• Realization of a fractional quantum Hall state with ultracold atoms
• Gapless Symmetry Protected Topological Order
• Quantum phase transition between cluster and antiferromagnetic states
• Real-Space Entanglement Spectrum of Quantum Hall States
• Observation of two-species vortex lattices in a mixture of mass-imbalance Bose and Fermi superfluids
• Real-space entanglement spectrum of quantum Hall systems
• Wave Functions of Bosonic Symmetry Protected Topological Phases
• Topological Luttinger Liquids from Decorated Domain Walls
• A continuous transition between fractional quantum Hall and superfluid states
• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Quantum Phase Transition between Integer Quantum Hall States of Bosons
• Crystallization of Bosonic Quantum Hall States
• Geometric squeezing into the lowest Landau level
• Coulomb interactions at quantum Hall critical points of systems in a periodic potential
• Quantum phase transitions between bosonic symmetry protected topological phases in two dimensions: emergent $QE{D}_3$ and anyon superfluid
• Evaluation of ranks of real space and particle entanglement spectra for large systems
• An Isotropic to Anisotropic Transition in a Fractional Quantum Hall State
• Bilayer quantum Hall phase transitions and the orbifold non-Abelian fractional quantum Hall states
• Excitonic topological order in imbalanced electron-hole bilayers
• Phase transitions and adiabatic preparation of a fractional Chern insulator in a boson cold atom model
• The phase transitions between $Z_n\times Z_n$ bosonic topological phases in 1+1 D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases
• Fractional Quantum Hall Bilayers at Half-Filling: Tunneling-driven Non-Abelian Phase
• Comparison of the density-matrix renormalization group method applied to fractional quantum Hall systems in different geometries
• Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Liquids
• Wavefunctions of Symmetry Protected Topological Phases from Conformal Field Theories
• Evidence for deconfined $U(1)$ gauge theory at the transition between toric code and double semion
• Emergent Multi-flavor QED3 at the Plateau Transition between Fractional Chern Insulators: Applications to graphene heterostructures
• Quantum Phase Transitions Between Bosonic Symmetry Protected Topological States Without Sign Problem: Nonlinear Sigma Model with a Topological Term
• Continuous Néel-VBS Quantum Phase Transition in Non-Local one-dimensional systems with SO(3) Symmetry
• From trivial to topological paramagnets: The case of ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_2^3$ symmetries in two dimensions
• Composite Fermions on a Torus
• Excitonic Laughlin States in Ideal Topological Insulator Flat Bands and Possible Presence in Moiré Superlattice Materials
• Disorder-driven transition and intermediate phase for $\nu =5/2$ fractional quantum Hall effect
• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
• Composite Fermion states on the torus
• Continuous phase transition between bosonic integer quantum Hall liquid and trivial insulator: evidences for deconfined quantum criticality
• Excitonic fractional quantum Hall hierarchy in Moiré heterostructures
• Topological Edge and Interface states at Bulk disorder-to-order Quantum Critical Points
• Visualizing a Bosonic Symmetry Protected Topological Phase in an Interacting Fermion Model
• XY* transition and extraordinary boundary criticality from fractional exciton condensation in quantum Hall bilayer
• All spin-1 topological phases in a single spin-2 chain
• Phase transitions of bosonic fractional quantum Hall effect in topological flat bands
• Possible continuous transition from fractional quantum Hall to stripe phase at ${\nu }_e=7/3$

Cited by in corpus (2)

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