Fractional topological phase in one-dimensional flatbands with nontrivial topology
arXiv:1204.2365 · doi:10.1103/PhysRevB.86.085124
Abstract
We show the existence of the fractional topological phase (FTP) in a one-dimensional interacting fermion model using exact diagonalization, in which the non-interacting part has flatbands with nontrivial topology. In the presence of the nearest-neighbouring interaction , the FTP at filling factor appears. It is characterized by the three-fold degeneracy and the quantized total Berry phase of the ground-states. The FTP is destroyed by a next-nearest-neighbouring interaction and the phase diagrams in the plane is determined. We also present a physical picture of the phase and discuss its existence in the nearly flatband. Within the picture, we argue that the FTP at other filling factors can be generated by introducing proper interactions. The present study contributes to a systematic understanding of the FTPs and can be realized in cold-atom experiments.
5 pages, 5 figures. To appear in Phys. Rev. B
References in corpus (10)
- Many-Body Physics with Ultracold Gases
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- High temperature fractional quantum Hall states
- Fractional quantum Hall states at zero magnetic field
- Nearly-flat bands with nontrivial topology
- Fractional quantum Hall effect in the absence of Landau levels
- Nearly flat band with Chern number C=2 on the dice lattice
- Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
- Topological phase in one-dimensional interacting fermion system
- Flat bands with non-trivial topology in three dimensions
Cited by in corpus (31)
- Artificial flat band systems: from lattice models to experiments
- Topological Bose-Mott Insulators in a One-Dimensional Optical Superlattice
- Kaleidoscope of symmetry protected topological phases in one-dimensional periodically modulated lattices
- Multihole edge states in Su-Schrieffer-Heeger chains with interactions
- Fractional charge pumping of interacting bosons in one-dimensional superlattice
- Intertwined Topological Phases induced by Emergent Symmetry Protection
- Interaction-induced topological properties of two bosons in flat-band systems
- Unraveling of the fractional topological phase in one-dimensional flatbands with nontrivial topology
- Interaction Induced Topological Charge Pump
- Flat Bands and Ferrimagnetic Order in Electronically Correlated Dice-Lattice Ribbons
- Topological bound states in interacting Su-Schrieffer-Heeger rings
- Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices
- Reduced density matrix and order parameters of a topological insulator
- Topological phases, topological flat bands, and topological excitations in a one-dimensional dimerized lattice with spin-orbit coupling
- Topological Invariants and Ground-State Wave Functions of Topological Insulators on a Torus
- Complete phase diagram and topological properties of interacting bosons in one-dimensional superlattices
- Dimensional evolution between one- and two-dimensional topological phases
- Topological invariants for interacting systems: from twisted boundary condition to center-of-mass momentum
- Topological Devil's staircase in atomic two-leg ladders
- Hard-core bosons in one-dimensional interacting topological bands
- Fractional Topological States in Quantum Spin Chains with Periodical Modulation
- Dimerization, Trimerization and Quantum pumping
- Fractional transconductance via non-adiabatic topological Cooper pair pumping
- Topological phase and lattice structures in spin chain models
- Bulk-edge Correspondence in the Adiabatic Heuristic Principle
- Flat-band full localization and symmetry-protected topological phase on bilayer lattice systems
- Fractional-quantum-Hall-effect (FQHE) in 1D Hubbard models
- Topological bosonic states on ribbons of honeycomb lattice
- Quantum magnetism of topologically-designed graphene nanoribbons
- Interband excitations in the 1D limit of two-band fractional Chern insulators
- Memory efficient Fock-space recursion scheme for computing many-fermion resolvents