Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
arXiv:2405.10034 · doi:10.1088/1361-648X/ad744c
Abstract
In this work, we theoretically study a modified Su-Schrieffer-Heeger (SSH) model in which each unit cell consists of three sites. Unlike existing extensions of the SSH model which are made by enlarging the periodicity of the (nearest-neighbor) hopping amplitudes, our modification is obtained by replacing the Pauli matrices in the system's Hamiltonian by their higher dimensional counterparts. This, in turn, leads to the presence of next-nearest neighbor hopping terms and the emergence of different symmetries than those of other extended SSH models. Moreover, the system supports a number of edge states that are protected by a combination of particle-hole, time-reversal, and chiral symmetry. Finally, our system could be potentially realized in various experimental platforms including superconducting circuits as well as acoustic/optical waveguide arrays.
20 pages, 17 figures, and 1 table. Published version
References in corpus (40)
- Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
- Non-Hermitian topological phenomena: A review
- Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
- Topological characterizations of an extended Su-Schrieffer-Heeger model
- Topological collective plasmons in bipartite chains of metallic nanoparticles
- Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
- Exceptional Topological Insulators
- Coherent control of quantum topological states of light in Fock-state lattices
- Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions
- Nonlinearity induced topological physics in momentum space and real space
- Quantum time reflection and refraction of ultracold atoms
- Fast and robust quantum state transfer via a topological chain
- Acoustic Su-Schrieffer-Heeger lattice: Direct mapping of acoustic waveguides to Su-Schrieffer-Heeger model
- Observation of pi/2 modes in an acoustic Floquet system
- Topological lattices realized in superconducting circuit optomechanics
- Engineering Non-Hermitian Skin Effect with Band Topology in Ultracold Gases
- Phase Diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice
- Floquet topological phase transitions in a periodically quenched dimer
- Topological supermodes in photonic crystal fiber
- Programmable high-dimensional Hamiltonian in a photonic waveguide array
- Properties of the non-Hermitian SSH model: role of PT-symmetry
- Arbitrary entangled state transfer via a topological qubit chain
- Topological states in arrays of optical waveguides engineered via mode interference
- Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
- Long-range hopping and indexing assumption in one-dimensional topological insulators
- Topological edge solitons and their stability in a nonlinear Su-Schrieffer-Heeger model
- The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
- Fast quantum transfer mediated by topological domain walls
- Topological marker approach to an interacting Su-Schrieffer-Heeger model
- Engineering topological phases of any winding and Chern numbers in extended Su-Schrieffer-Heeger models
- Analytical solution of open crystalline linear 1D tight-binding models
- Magnonic Su-Schrieffer-Heeger Model in Honeycomb Ferromagnets
- Topological valley crystals in a photonic Su-Schrieffer-Heeger (SSH) variant
- Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
- Ground state and spectral properties of the doped one-dimensional optical Hubbard-Su-Schrieffer-Heeger model
- Topological phase detection through high-harmonic spectroscopy in extended Su-Schrieffer-Heeger chains
- Topological magnons in one-dimensional ferromagnetic Su-Schrieffer-Heeger model with anisotropic interaction
- Weyl Nodal-Ring Semimetallic Behavior and Topological Superconductivity in Crystalline Forms of Su-Schrieffer-Heeger Chains
- Topological Surface-plasmon-polaritons on Corrugated Metal-dielectric Surfaces
- Control of Plasmons in Topological Insulators via Local Perturbations
Cited by in corpus (4)
- Anomalous topological edge modes in a periodically-driven trimer lattice
- Interaction-induced phase transitions at topological quantum criticality of an extended Su-Schrieffer-Heeger model
- Edge states and persistent current in a PT-symmetric extended Su-Schrieffer-Heeger model with generic boundary conditions
- Topological states and flat bands in exactly solvable decorated Cayley trees