Emerging topological bound states in Haldane model zigzag nanoribbons

Abstract

Zigzag nanoribbons hosting the Haldane Chern insulator model are considered. In this context, a reentrant topological phase, characterized by the emergence of quasi zero dimensional in-gap states, is discussed. The bound states, which reside in the gap opened by the hybridization of the counter-propagating edge modes of the Haldane phase, are localized at the ends of the strip and are found to be robust against on-site disorder. These findings are supported by the behavior of the Zak phase over the parameter space, which exhibits jumps of $\pi$ in correspondence to the phase transitions between the trivial and the non-trivial phases. The effective mass inversion leading to the jumps in the Zak phase is interpreted in a low energy framework. Setups with non-uniform parameters also show topological bound states via the Jackiw-Rebbi mechanism. All the properties reported are shown to be extremely sensitive to the strip width.

arXiv commentArticle: 22 pages, 6 figures. Supplementary Information: 21 pages, 9 figures

References in corpus (40)

• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Exceptional Topology of Non-Hermitian Systems
• Higher-Order Topological Insulators
• Exponential Protection of Zero Modes in Majorana Islands
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Bismuthene on a SiC Substrate: A Candidate for a New High-Temperature Quantum Spin Hall Paradigm
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Topological Phases in Graphene Nanoribbons: Junction States, Spin Centers and Quantum Spin Chains
• Parafermionic edge zero modes in Z_n-invariant spin chains
• Topological phases with parafermions: theory and blueprints
• Bulk-boundary correspondence from the inter-cellular Zak phase
• Topological phase transition in chiral graphene nanoribbons: from edge bands to end states
• Topological and geometrical aspects of band theory
• Connecting higher-order topological insulators to lower-dimensional topological insulators
• Interacting topological edge channels
• Topological edge states and quantum Hall effect in the Haldane model
• Crossover from Majorana edge to end states in quasi-one-dimensional p-wave superconductors
• Z4 parafermions in one-dimensional fermionic lattices
• Relaxation and revival of quasiparticles injected in an interacting quantum Hall liquid
• Chiral topological phases and fractional domain wall excitations in one-dimensional chains and wires
• From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
• The fundamental differences between Quantum Spin Hall edge-states at zig-zag and armchair terminations of honeycomb and ruby nets
• Formation and detection of Majorana modes in quantum spin Hall trenches
• Sublattice-enriched tunability of bound states in second-order topological insulators and superconductors
• Theory of the STM detection of Wigner molecules in spin incoherent CNTs
• Dimensional crossover of transport characteristics in topological insulator nanofilms
• Fractional charge oscillations in quantum spin Hall quantum dots
• Role of the edges in a quasicrystalline Haldane model
• Bifurcation of the Edge-State Width in the Two-Dimensional Topological Insulator
• Multiple higher-order topological phases with even and odd pairs of zero-energy corner modes in a $C_3$ symmetry broken model
• Topological and trivial domain wall states in engineered atomic chains
• Stacking-Induced Symmetry-Protected Topological Phase Transitions
• Effects of the Spatial Extension of the Edge Channels on the Interference Pattern of a Helical Josephson Junction

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