Topological phase and lattice structures in spin chain models
arXiv:1812.08956 · doi:10.1103/PhysRevB.99.205424
Abstract
Finding new topological materials and understanding the physical essence of topology are crucial problems for researchers. We studied the topological property based on several proposed Su-Schrieffer-Heeger (SSH) related models. We show that the topologically non-trivial phase (TNP) in the SSH model can exist in other model conditions and can even be caused by anisotropy; its origin has a close relation with the even-bond dimerization. Further study shows that the TNP is not determined by the periodicity of the system, but the parity of the two kinds of bonds plays a significant role for the formation of the TNP. This finding reveals the topological invariant of the system and might supply potential extended topological materials for both theoretical and experimental researches.
Added reference [29]
References in corpus (36)
- Topological Insulators
- Topological insulators and superconductors
- The density-matrix renormalization group
- Experimental realisation of the topological Haldane model
- Scaling of Entanglement close to a Quantum Phase Transitions
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Realizing a lattice spin model with polar molecules
- Effective quantum spin systems with ion traps
- Quantum simulation of frustrated magnetism in triangular optical lattices
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Quantum correlations in spin chains at finite temperatures and quantum phase transitions
- Local entanglement and quantum phase transition in the Hubbard model
- Entanglement and quantum phase transition in the extended Hubbard model
- Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
- Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
- Topological characterization of quantum phase transitions in a S=1/2 spin model
- Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
- Lattice gauge theories simulations in the quantum information era
- Detecting topological invariants in nonunitary discrete-time quantum walks
- Many-body dynamics of dipolar molecules in an optical lattice
- Bloch state tomography using Wilson lines
- Two-site entropy and quantum phase transitions in low-dimensional models
- Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
- Topological Maxwell Metal Bands in a Superconducting Qutrit
- Towards Quantum Simulating QCD
- Real-space imaging of a topological protected edge state with ultracold atoms in an amplitude-chirped optical lattice
- Topological phase in one-dimensional interacting fermion system
- Topologically protected localised states in spin chains
- Fractional topological phase in one-dimensional flatbands with nontrivial topology
- Coefficients of bosonized dimer operators in spin-1/2 XXZ chains and their applications
- Reduced density matrix and order parameters of a topological insulator
- Onsager algebra and cluster XY-models in a transverse magnetic field
- Spin transport through a spin-1/2 XXZ chain contacted to fermionic leads