Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder

Abstract

A chiral symmetric Su-Schrieffer-Heeger (SSH) chain features topological end states in one of its dimerized configurations. Those mid-gap zero energy states show interesting modifications upon a periodic tuning of the hopping modulations. Besides, more and more in-gap end modes appear at nonzero energies for further partitioning of the Brillouin zone (BZ) due to increased hopping periodicity. The new topological phases are identified with a detailed analysis of the topological invariants namely, winding number and Zak phases. The spectra and topology of these systems with periodically modulated hopping are studied also in the presence of a single static domain wall, separating two topologically inequivalent dimerized structures. The domain wall causes additional in-gap modes in the spectrum as well as zero energy domain wall solitonic states for specific hopping periodicities. We also study the effect of disorder, particularly the chirality breaking onsite ones, on the edge and domain wall states. Other than the SSH type we also consider random, Rice-Mele or AI type disorder to do a comparative analysis of the evolution of chirality and zero energy states as the strength of disorder and hopping periodicity is varied. Our findings can add important feedback in utilizing topological phases in various fields including quantum computations while the results can be easily verified in a cold atom set up within optical lattices.

arXiv comment14 pages

References in corpus (57)

• Electric Field Effect in Atomically Thin Carbon Films
• Topological Insulators
• Quantum entanglement
• Quantum Spin Hall Effect in Graphene
• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Electronic transport in two dimensional graphene
• Classification of topological quantum matter with symmetries
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Efficient classical simulation of slightly entangled quantum computations
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Search for Majorana fermions in superconductors
• Topological Acoustics
• Non-Bloch Band Theory of Non-Hermitian Systems
• 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
• Single particle Green's functions and interacting topological insulators
• Topological Superconductivity in a Phase-Controlled Josephson Junction
• Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder
• Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics
• How to realize a robust practical Majorana chain in a quantum dot-superconductor linear array
• Impurity Bound States and Greens Function Zeroes as Local Signatures of Topology
• Floquet topological transitions in a driven one-dimensional topological insulator
• Topological characterization of chiral models through their long time dynamics
• Bulk-boundary correspondence from the inter-cellular Zak phase
• Topological characterizations of an extended Su-Schrieffer-Heeger model
• Interplay between long range hopping and disorder in topological systems
• Topological phases: Classification of topological insulators and superconductors of non-interacting Fermions, and beyond
• Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes
• Topological pumping of edge states via adiabatic passage
• Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions
• A bulk-boundary correspondence for dynamical phase transitions in one-dimensional topological insulators and superconductors
• A two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry
• Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions
• An elementary rigorous proof of bulk-boundary correspondence in the generalized Su-Schrieffer-Heeger model
• Majorana Fermions in Magnetic Chains
• Non-Hermitian generalizations of extended Su-Schrieffer-Heeger models
• Reentrant localization transition in the Su-Schrieffer-Heeger model with random-dimer disorder
• Understanding Basic Concepts of Topological Insulators Through Su-Schrieffer-Heeger (SSH) Model
• Topological phase transition in the quasiperiodic disordered Su-Schriffer-Heeger chain
• Winding number and Zak phase in multi-band SSH models
• From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
• Topological features of ground states and topological solitons in generalized Su-Schrieffer-Heeger models using generalized time-reversal, particle-hole, and chiral symmetries
• Persistence of chirality in the Su-Schrieffer-Heeger model in the presence of on-site disorder
• Topological Invariants and Ground-State Wave Functions of Topological Insulators on a Torus
• Topology of critical chiral phases: multiband insulators and superconductors
• One-dimensional non-interacting topological insulators with chiral symmetry
• Charge-resolved entanglement in the presence of topological defects
• Majorana orthogonal transformation and Majorana zero modes in free fermionic systems
• Topological domain wall states in a non-symmorphic chiral chain
• A Primer on Weyl Semimetals: Down the Discovery of Topological Phases
• Edge state behavior in a Su-Schrieffer-Heeger like model with periodically modulated hopping
• Effect of hybridization symmetry on topological phases of odd-parity multiband superconductors
• From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures

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• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Entanglement entropy as a probe of topological phase transitions
• Defect engineering spin centers in interacting many-body Su-Schrieffer-Heeger chains
• Photo-induced directional transport in extended SSH chains