Symmetry-protected Topological Phases in Spinful Bosons with a Flat Band
arXiv:2003.01705 · doi:10.1103/PhysRevResearch.3.023210
Abstract
We theoretically demonstrate that interacting symmetry-protected topological (SPT) phases can be realized with ultracold spinful bosonic atoms loaded on the lattices which have a flat band at the bottom of the band structure. Ground states of such systems are not conventional Mott insulators in the sense that the ground states possess not only spin fluctuations but also non-negligible charge fluctuations. The SPT phases in such systems are determined by both spin and charge fluctuations at zero temperature. We find that the many-body ground states of such systems can be exactly obtained in some special cases, and these exact ground states turn out to serve as representative states of the SPT phases. As a concrete example, we demonstrate that spin-1 bosons on a sawtooth chain can be in an SPT phase protected by spin rotation symmetry or time-reversal symmetry, and this SPT phase is a result of spin fluctuations. We also show that spin-3 bosons on a kagome lattice can be in an SPT phase protected by point group symmetry, but this SPT phase is, however, a result of charge fluctuations.
arXiv comment24 pages, 17 figures
References in corpus (97)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Spinor Bose Condensates in Optical Traps
- Entanglement spectrum of a topological phase in one dimension
- Symmetry protected topological orders and the group cohomology of their symmetry group
- Bose-Einstein condensation of chromium
- Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
- Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
- Quantum many-body scars
- Spinor Bose-Einstein condensates
- Classification of Gapped Symmetric Phases in 1D Spin Systems
- Symmetry protection of topological order in one-dimensional quantum spin systems
- A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
- Bose-Einstein Condensation of Erbium
- Lieb-Schultz-Mattis in Higher Dimensions
- Quantum simulation of frustrated magnetism in triangular optical lattices
- Dynamical control of matter-wave tunneling in periodic potentials
- Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
- Superfluid-insulator transition in a periodically driven optical lattice
- Ultracold Atoms in a Tunable Optical Kagome Lattice
- 2D symmetry protected topological orders and their protected gapless edge excitations
- Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
- From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
- Ferromagnetism in the Hubbard Model-- Examples from Models with Degenerate Single-Electron Ground States
- Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
- Detection of Symmetry Protected Topological Phases in 1D
- Scaling of entanglement support for Matrix Product States
- Coherent control of dressed matter waves
- Variational optimization algorithms for uniform matrix product states
- String order and symmetries in quantum spin lattices
- Single Particle Tunneling in Strongly Driven Double Well Potentials
- Hidden order in 1D Bose insulators
- Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
- Implementation of Spin Hamiltonians in Optical Lattices
- Exotic electronic states in the world of flat bands: from theory to material
- Rise and fall of hidden string order of lattice bosons
- Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
- Exploring dynamic localization with a Bose-Einstein condensate
- Translational symmetry and microscopic constraints on symmetry-enriched topological phases: a view from the surface
- Classification of flat bands according to the band-crossing singularity of Bloch wave functions
- Tangent-space methods for uniform matrix product states
- Filling constraints for spin-orbit coupled insulators in symmorphic and non-symmorphic crystals
- Topological phases protected by point group symmetry
- Compact localized states and flatband generators in one dimension
- Topological Order and Absence of Band Insulators at Integer Filling in Non-Symmorphic Crystals
- Building crystalline topological phases from lower-dimensional states
- Spin nematic correlations in bilinear-biquadratic S=1 spin chains
- Spin nematics in the bilinear-biquadratic S=1 spin chain
- Onsager's Scars in Disordered Spin Chains
- Gauging spatial symmetries and the classification of topological crystalline phases
- Einstein--de Haas Effect in Dipolar Bose-Einstein Condensates
- Frustrated quantum antiferromagnetism with ultracold bosons in a triangular lattice
- Phase diagram of the extended Bose Hubbard model
- A simple method to construct Flat Band lattices
- Compactly-supported Wannier functions and algebraic -theory
- Flat Band Quantum Scar
- Superfluid-Mott Insulator Transition of Spin-1 Bosons in an Optical Lattice
- Precise extrapolation of the correlation function asymptotics in uniform tensor network states with application to the Bose-Hubbard and XXZ models
- One-dimensional sawtooth and zigzag lattices for ultracold atoms
- Error estimates for extrapolations with matrix-product states
- Exact many-electron ground states on the diamond Hubbard chain
- Lieb-Schultz-Mattis type theorems for quantum spin chains without continuous symmetry
- Twisted boundary condition and Lieb-Schultz-Mattis ingappability for discrete symmetries
- Fragile Mott Insulators
- Distinct trivial phases protected by a point-group symmetry in quantum spin chains
- Competing Supersolid and Haldane Insulator phases in the extended one-dimensional bosonic Hubbard model
- Spectral and Entanglement Properties of the Bosonic Haldane Insulator
- Featureless and non-fractionalized Mott insulators on the honeycomb lattice at 1/2 site filling
- Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
- Topological nature of spinons and holons: Elementary excitations from matrix product states with conserved symmetries
- Haldane charge conjecture in one-dimensional multicomponent fermionic cold atoms
- Homogeneous and inhomogeneous magnetic phases of constrained dipolar bosons
- Phase diagrams of one-dimensional half-filled two-orbital SU(N) cold fermions systems
- A generalized boundary condition applied to Lieb-Schultz-Mattis type ingappabilities and many-body Chern numbers
- Degeneracy and Consistency Condition of Berry phases: Gap Closing under the Twist
- From compact localized states to many-body scars in the random quantum comb
- Fragility of Symmetry Protected Topological Order on a Hubbard Ladder
- Effective field theory for one-dimensional valence-bond-solid phases and their symmetry protection
- Ground States of the Spin-1 Bose-Hubbard Model
- Anyonic Haldane insulator in one dimension
- Realizing the Haldane Phase with Bosons in Optical Lattices
- New gapped quantum phases for S=1 spin chain with D2h symmetry
- Ferromagnetism in the SU() Hubbard model with a nearly flat band
- Haldane phase in the sawtooth lattice: Edge states, entanglement spectrum and the flat band
- Entanglement in valence-bond-solid states on symmetric graphs
- Quantum phase transitions in the dimerized extended Bose-Hubbard model
- Criticality at the Haldane-insulator charge-density-wave quantum phase transition
- Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic model
- Symmetry-protected topological phase in a one-dimensional correlated bosonic model with a synthetic spin-orbit coupling
- Field theory of symmetry-protected valence bond solid states in (2+1) dimensions
- Symmetry-protected topological phase transition in one-dimensional Kondo lattice and its realization with ultracold atoms
- Homogeneous and domain wall topological Haldane conductors with dressed Rydberg atoms
- Proposal of a spin-one chain model with competing dimer and trimer interactions
- "Haldane" phases with ultracold fermionic atoms in double-well optical lattices
- Symmetry protected topological phases in two-orbital SU(4) fermionic atoms
- An extension of the cell-construction method for the flat-band ferromagnetism
- Highest weight state description of the isotropic spin-1 chain
- Rigorous Results for the Ground States of the Spin-2 Bose-Hubbard Model
Cited by in corpus (10)
- General construction of flat bands with and without band crossings based on wave function singularity
- Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations
- Duality, Criticality, Anomaly, and Topology in Quantum Spin-1 Chains
- Flat bands with band crossings enforced by symmetry representation
- Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
- Topological pump and bulk-edge-correspondence in an extended Bose-Hubbard model
- Mott Insulator-like Bose-Einstein Condensation in a Tight-Binding System of Interacting Bosons with a Flat Band
- High Chern numbers and topological flat bands in high-field polarized Kitaev magnets on the star lattice
- Effects of Peierls phases in open linear chains
- Multiple magnetic transitions and complex magnetic structures in FeSiSe with the sawtooth lattice