Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
arXiv:2405.18269 · doi:10.1103/PhysRevLett.134.076601
Abstract
The properties of fractional Chern insulator (FCI) phases and the phase transitions between FCI and Mott insulators (MI) in bosonic systems are well studied. The continuous transitions between FCI and superfluid (SF), however, despite the inspiring field theoretical predictions, have not been directly verified. The existing numerical results of the FCI-SF transition are either indirect or clearly first-order. Here, by simply tuning the bandwidth of the Haldane honeycomb lattice model, we find direct transitions from a bosonic FCI at filling of a flat Chern band to two SF states with bosons condensed at momenta M or , respectively. While the FCI-SF(M) transition is first-order, the FCI-SF() transition is found continuous, and the bipartite entanglement entropy at the critical point with the area-law scaling is consistent with the critical theories. Through finite size criticality analysis, the obtained critical exponents 0.35(5) and 0.62(12) are both compatible with those of the 3D XY universality class within numerical uncertainty and possibly more exotic beyond-Landau ones. This letter thence presents a direct numerical demonstration of a continuous FCI-SF transition between topologically ordered phase and spontaneous continuous symmetry-breaking phase, and further indicates the zero-field bosonic FCI might be realized from a SF state by gradually flattening the dispersion of the Chern band, through the (quasi)adiabatic preparation in ultracold atom systems.
References in corpus (82)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Feshbach Resonances in Ultracold Gases
- The density-matrix renormalization group
- Area laws for the entanglement entropy - a review
- Topological entanglement entropy
- Entropy and Area
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- "Deconfined" quantum critical points
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Continuous Quantum Phase Transitions
- High temperature fractional quantum Hall states
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Fractional quantum Hall states at zero magnetic field
- Topological orders and Edge excitations in FQH states
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Nearly-flat bands with nontrivial topology
- Topological Bands for Ultracold Atoms
- Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
- Signatures of Fractional Quantum Anomalous Hall States in Twisted MoTe2 Bilayer
- Observation of Fractionally Quantized Anomalous Hall Effect
- Fractional quantum Hall effect in the absence of Landau levels
- Fractional Chern Insulator
- Integer and fractional Chern insulators in twisted bilayer MoTe2
- Observation of a dipolar quantum gas with metastable supersolid properties
- Fractional quantum Hall states of atoms in optical Lattices
- Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
- Transient supersolid properties in an array of dipolar quantum droplets
- Long-lived and transient supersolid behaviors in dipolar quantum gases
- Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
- Critical behavior of the three-dimensional XY universality class
- Deconfined quantum critical points: symmetries and dualities
- Geometrical Description of the Fractional Quantum Hall Effect
- Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
- Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
- Fragmentation of Bose-Einstein Condensates
- Microscopy of the interacting Harper-Hofstadter model in the few-body limit
- Fragmented and Single Condensate Ground States of Spin-1 Bose Gas
- Non-abelian symmetries in tensor networks: a quantum symmetry space approach
- Observation of Roton Mode Population in a Dipolar Quantum Gas
- Theory of a continuous Mott transition in two dimensions
- Realizing Fractional Chern Insulators with Dipolar Spins
- Reaching Fractional Quantum Hall States with Optical Flux Lattices
- Spontaneous fractional Chern insulators in transition metal dichalcogenides Moire superlattices
- Carving out OPE space and precise model critical exponents
- High field fractional quantum Hall effect in optical lattices
- Realization of a fractional quantum Hall state with ultracold atoms
- Mott Transition in An Anyon Gas
- Duality between the deconfined quantum-critical point and the bosonic topological transition
- Supersolidity around a critical point in dipolar Bose Einstein condensates
- Thirty Years of Composite Fermions and Beyond
- Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
- Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point
- A continuous transition between fractional quantum Hall and superfluid states
- Realizing and Adiabatically Preparing Bosonic Integer and Fractional Quantum Hall states in Optical Lattices
- Quarter-Flux Hofstadter Lattice in Qubit-Compatible Microwave Cavity Array
- Characterization and stability of a fermionic ν=1/3 fractional Chern insulator
- Optical lattice quantum Hall effect
- Adiabatic quantum algorithms as quantum phase transitions: first versus second order
- Fractional (Chern and topological) insulators
- Exotic Quantum Phase Transitions of Dirac fermions
- Adiabatic Path to Fractional Quantum Hall States of a Few Bosonic Atoms
- A discretized Chern-Simons gauge theory on arbitrary graphs
- Massive fermions without fermion bilinear condensates
- Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
- Dynamical Signature of Symmetry Fractionalization in Frustrated Magnets
- Phase transitions and adiabatic preparation of a fractional Chern insulator in a boson cold atom model
- Realization of fractional quantum Hall state with interacting photons
- Continuous Preparation of a Fractional Chern Insulator
- Phase transitions out of quantum Hall states in moiré materials
- Continuous transitions between composite Fermi liquid and Landau Fermi liquid: a route to fractionalized Mott insulators
- Bosonic Fractional Quantum Hall States on a Finite Cylinder
- Phases of (2+1)D SO(5) non-linear sigma model with a topological term on a sphere: multicritical point and disorder phase
- Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling
- Disorder Operator and Rényi Entanglement Entropy of Symmetric Mass Generation
- Extracting subleading corrections in entanglement entropy at quantum phase transitions
- Certifying the adiabatic preparation of ultracold lattice bosons in the vicinity of the Mott transition
- Deconfined criticalities and dualities between chiral spin liquid, topological superconductor and charge density wave Chern insulator
- Supersolid formation in a dipolar condensate by roton instability
- Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction
- Bosonic fractional quantum Hall conductance in shaken honeycomb optical lattices without flat bands
- Microscopic Study of the Coupled-Wire Construction and Plausible Realization in Spin-Dependent Optical Lattices
- Phase transitions of bosonic fractional quantum Hall effect in topological flat bands