Edge state behavior in a Su-Schrieffer-Heeger like model with periodically modulated hopping
arXiv:2307.06829 · doi:10.1088/1361-648X/ad0766
Abstract
Su-Schrieffer-Heeger (SSH) model is one of the simplest models to show topological end/edge states and the existence of Majorana fermions. Here we consider a SSH like model both in one and two dimensions where a nearest neighbor hopping features spatially periodic modulations. In the 1D chain, we witness appearance of new in-gap end states apart from a pair of Majorana zero modes (MZM) when the hopping periodicity go beyond two lattice spacings. The pair of MZMs, that appear in the topological regime, characterise the end modes each existing in either end of the chain. These, however, crossover to both-end end modes for small hopping modulation strength in a finite chain. Contrarily in a 2D SSH model with symmetric hopping that we consider, both non-zero and zero energy topological states appear in a finite square lattice even with a simple staggered hopping, though the zero energy modes disappear in a ribbon configuration. Apart from edge modes, the 2D system also features corner modes as well as modes with satellite peaks distributed non-randomly within the lattice. In both the dimensions, an increase in the periodicity of hopping modulation causes the zero energy Majorana modes to become available for either sign of the modulation. But interestingly with different periodicity for hopping modulations in the two directions, the zero energy modes in a 2D model become rarer and does not appear for all strength and sign of the modulation.
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References in corpus (34)
- Non-Abelian Anyons and Topological Quantum Computation
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Classification of topological quantum matter with symmetries
- Search for Majorana fermions in superconductors
- Topological Acoustics
- Majorana Zero Modes and Topological Quantum Computation
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Introduction to topological superconductivity and Majorana fermions
- Engineering of robust topological quantum phases in graphene nanoribbons
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- Novel Topological Phase with Zero Berry Curvature
- Single particle Green's functions and interacting topological insulators
- Topological Superconductivity in a Phase-Controlled Josephson Junction
- How to realize a robust practical Majorana chain in a quantum dot-superconductor linear array
- Floquet topological transitions in a driven one-dimensional topological insulator
- Topological characterizations of an extended Su-Schrieffer-Heeger model
- The effects of retardation on the topological plasmonic chain: plasmonic edge states beyond the quasistatic limit
- Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes
- Poor man's topological quantum gate based on the Su-Schrieffer-Heeger model
- Majorana Fermions in Magnetic Chains
- Exact eigenvectors and eigenvalues of the finite Kitaev chain and its topological properties
- From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
- Persistence of chirality in the Su-Schrieffer-Heeger model in the presence of on-site disorder
- Radiative heat flux through a topological Su-Schrieffer-Heeger chain of plasmonic nanoparticles
- Topological inheritance in half-SSH Hubbard models
- Topological States in Two-Dimensional Su-Schrieffer-Heeger Models
- Doublons, topology and interactions in a one-dimensional lattice
- Majorana orthogonal transformation and Majorana zero modes in free fermionic systems
- A numerically exact study of Weyl superconductivity
- Effect of hybridization symmetry on topological phases of odd-parity multiband superconductors
- From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures
- Magnon dispersion and Single hole motion in 2D frustrated antiferromagnets with four-sublattice structures
- Topological characterization of special edge modes from the winding of relative phase