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.
24 pages, 17 figures
References in corpus (37)
- Bose-Einstein condensation of chromium
- Bose-Einstein Condensation of Erbium
- Dynamical control of matter-wave tunneling in periodic potentials
- Scaling of entanglement support for Matrix Product States
- Coherent control of dressed matter waves
- String order and symmetries in quantum spin lattices
- Single Particle Tunneling in Strongly Driven Double Well Potentials
- Hidden order in 1D Bose insulators
- 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
- Exploring dynamic localization with a Bose-Einstein condensate
- Spin nematic correlations in bilinear-biquadratic S=1 spin chains
- Onsager's Scars in Disordered Spin Chains
- 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
- Error estimates for extrapolations with matrix-product states
- Exact many-electron ground states on the diamond Hubbard chain
- Twisted boundary condition and Lieb-Schultz-Mattis ingappability for discrete symmetries
- Distinct trivial phases protected by a point-group symmetry in quantum spin chains
- Spectral and Entanglement Properties of the Bosonic Haldane Insulator
- Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
- Homogeneous and inhomogeneous magnetic phases of constrained dipolar bosons
- Phase diagrams of one-dimensional half-filled two-orbital SU(N) cold fermions systems
- 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
- Ground States of the Spin-1 Bose-Hubbard Model
- Anyonic Haldane insulator in one dimension
- Entanglement in valence-bond-solid states on symmetric graphs
- Quantum phase transitions in the dimerized extended Bose-Hubbard model
- Field theory of symmetry-protected valence bond solid states in (2+1) dimensions
- Proposal of a spin-one chain model with competing dimer and trimer interactions
- An extension of the cell-construction method for the flat-band ferromagnetism
- Highest weight state description of the isotropic spin-1 chain
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- 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