Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling
arXiv:1509.05509 · doi:10.1103/PhysRevB.94.035129
Abstract
There has been a growing interest in realizing topologically nontrivial states of matter in band insulators, where a quantum Hall effect can appear as an intrinsic property of the band structure. While the on-going progress is under way with a number of directions, the possibility of realizing novel interaction-generated topological phases, without the requirement of a nontrivial invariant encoded in single-particle wavefunction or band structure, can significantly extend the class of topological materials and is thus of great importance. Here, we show an interaction-driven topological phase emerging in an extended Bose-Hubbard model on kagome lattice, where the non-interacting band structure is topological trivial with zero Berry curvature in the Brillouin zone. By means of an unbiased state-of-the-art density-matrix renormalization group technique, we identify that the groundstate in a broad parameter region is equivalent to a bosonic fractional quantum Hall Laughlin state, based on the characterization of universal properties including groundstate degeneracy, edge excitations and anyonic quasiparticle statistics. Our work paves a way of finding interaction induced topological phase at the phase boundary of conventionally ordered solid phases.
arXiv comment8 pages, 8 figures
References in corpus (51)
- Many-Body Physics with Ultracold Gases
- Topological entanglement entropy
- Experimental realisation of the topological Haldane model
- Detecting topological order in a ground state wave function
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- High temperature fractional quantum Hall states
- Fractional quantum Hall states at zero magnetic field
- Nearly-flat bands with nontrivial topology
- Topological Mott Insulators
- Fractional quantum Hall effect in the absence of Landau levels
- Identifying Topological Order by Entanglement Entropy
- Fractional Chern Insulator
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
- Ultracold Atoms in a Tunable Optical Kagome Lattice
- Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
- Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
- Quasi-particle Statistics and Braiding from Ground State Entanglement
- Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
- Plaquette Ordered Phase and Quantum Phase Diagram in the Spin-1/2 J1-J2 Square Heisenberg Model
- Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
- Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
- Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
- Vesignieite BaCu3V2O8(OH)2 as a Candidate Spin-1/2 Kagome Antiferromagnet
- Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
- Characterizing topological order by studying the ground states of an infinite cylinder
- Topological Entanglement Entropy in Chern-Simons Theories and Quantum Hall Fluids
- Chiral spin liquid in a frustrated anisotropic kagome Heisenberg model
- The kagome antiferromagnet: a chiral topological spin liquid ?
- Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice
- Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
- Topological insulators in three dimensions from spontaneous symmetry breaking
- Pinwheel VBS state and triplet excitations in the two-dimensional deformed kagome lattice
- Numerical study of magnetization plateaux in the spin-1/2 kagome Heisenberg antiferromagnet
- Nature of chiral spin liquids on the kagome lattice
- One-Third Magnetization Plateau with a Preceding Novel Phase in Volborthite
- Modified kagome physics in the natural spin-1/2 kagome lattice systems - kapellasite Cu3Zn(OH)6Cl2 and haydeeite Cu3Mg(OH)6Cl2
- Disorder driven collapse of the mobility gap and transition to an insulator in fractional quantum Hall effect
- Interaction driven phases in the half-filled honeycomb lattice: an infinite density matrix renormalization group study
- Phase diagram of interacting spinless fermions on the honeycomb lattice: A comprehensive exact diagonalization study
- Flux insertion, entanglement, and quantized responses
- Chiral spin liquids on the kagome Lattice
- Chern-Simons theory of the magnetization plateaus of the spin-1/2 quantum XXZ Heisenberg model on Kagome Lattice
- Obtaining topological degenerate ground states by the density matrix renormalization group
- Minimal Entangled States and Modular Matrix for Fractional Quantum Hall Effect in Topological Flat Bands
- Phase diagram of the 1/3-filled extended Hubbard model on the Kagome lattice
- Z2 topological liquid of hard-core bosons on a kagome lattice at 1/3 filling
- Kagome chiral spin liquid as a gauged U(1) symmetry protected topological phase
- Interplay of charge and spin fluctuations of strongly interacting electrons on the kagome lattice
- Magnetization plateaus of an easy-axis Kagomé antiferromagnet with extended interactions
- Fractional Chern Insulators in Bands with Zero Berry Curvature
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- Quantum phases of Rydberg atoms on a kagome lattice
- Global phase diagram and quantum spin liquids in spin-1/2 triangular antiferromagnet
- Interaction-Driven Spontaneous Quantum Hall Effect on Kagome Lattice
- Topological Varma superfluid in optical lattices
- Fractional quantum Hall states for moiré superstructures in the Hofstadter regime
- Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
- Recent Developments in Fractional Chern Insulators
- Tunning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems
- Lattice effects on Laughlin wave functions and parent Hamiltonians
- Chiral liquid phase of simple quantum magnets
- Numerical evidence for a chiral spin liquid in the XXZ antiferromagnetic Heisenberg model on the kagome lattice at magnetization
- Symmetry breaking and fermionic fractional Chern insulator in topologically trivial bands
- Semiclassical analysis of a magnetization plateau in a 2D frustrated ferrimagnet
- Chiral topological phases in optical lattices without synthetic fields
- Phase transitions of bosonic fractional quantum Hall effect in topological flat bands
- Classification and emergence of quantum spin liquids in chiral Rydberg models
- Topological states in strongly correlated systems
- Electronic States and Anomalous Hall Effect in Strongly Correlated Topological Systems
- Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
- Tuning long-range fermion-mediated interactions in cold-atom quantum simulators
- Chiral Spin Condensation in a One-Dimensional Optical Lattice