Zeeman-field-induced nontrivial topological phases in a one-dimensional spin-orbit-coupled dimerized lattice

Abstract

We study theoretically the interplay effect of Zeeman field and modulated spin-orbit coupling on topological properties of a one-dimensional dimerized lattice, known as Su-Schrieffer-Heeger model. We find that in the weak (strong) modulated spin-orbit coupling regime, trivial regions or nontrivial ones with two pairs of zero-energy states can be turned into nontrivial regions by applying a uniform (staggered) perpendicular Zeeman field through a topological phase transition. Furthermore, the resulting nontrivial phase hosting a pair of zero-energy boundary states can survive within a certain range of the perpendicular Zeeman field magnitude. Due to the effective time-reversal, particle-hole, chiral, and inversion symmetries, in the presence of either uniform or staggered perpendicular Zeeman field, the topological class of the system is BDI which can be characterized by $\mathbbm{Z}$ index. We also examine the robustness of the nontrivial phase by breaking the underlying symmetries giving rise that inversion symmetry plays an important role.

arXiv comment11 pages, 7 figures

References in corpus (76)

• The electronic properties of graphene
• Topological Insulators
• Topological insulators and superconductors
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Berry Phase Effects on Electronic Properties
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• New Perspectives for Rashba Spin-Orbit Coupling
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Periodic table for topological insulators and superconductors
• Search for Majorana fermions in superconductors
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana fermions in a tunable semiconductor device
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Superconductivity in CuxBi2Se3 and its implications for pairing in the undoped topological insulator
• Classification of Gapped Symmetric Phases in 1D Spin Systems
• Majorana fermions in chains of magnetic atoms on a superconductor
• Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
• Topological Superconductivity in CuxBi2Se3
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• The effects of interactions on the topological classification of free fermion systems
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• Inversion Symmetric Topological Insulators
• The Zak phase and the existence of edge states in graphene
• Topology of crystalline insulators and superconductors
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Electron fractionalization in two-dimensional graphenelike structures
• Complete classification of 1D gapped quantum phases in interacting spin systems
• Single particle Green's functions and interacting topological insulators
• Classification of topological insulators and superconductors in the presence of reflection symmetry
• Edge states and topological phases in one-dimensional optical superlattices
• Topological Zero-Energy Modes in Gapless Commensurate Aubry-André-Harper Models
• Topological invariants for spin-orbit coupled superconductor nanowires
• Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Topological phases of generalized Su-Schrieffer-Heeger models
• Majorana Fermions in Proximity-coupled Topological Insulator Nanowires
• Topological classification with additional symmetries from Clifford algebras
• Exciton condensation and charge fractionalization in a topological insulator film
• PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
• Majorana edge states in interacting one-dimensional systems
• Edge-mode Superconductivity in a Two Dimensional Topological Insulator
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Majorana fermions in superconducting nanowires without spin-orbit coupling
• Floquet topological transitions in a driven one-dimensional topological insulator
• Transition from fractional to Majorana fermions in Rashba nanowires
• Unified theory of PT and CP invariant topological metals and nodal superconductors
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• Andreev reflection from non-centrosymmetric superconductors and Majorana bound state generation in half-metallic ferromagnets
• Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
• Topological superconductivity and Majorana fermions in half-metal / superconductor heterostructure
• Particle number fractionization of an atomic Fermi-Dirac gas in an optical lattice
• Symmetry protected topological phases in non-interacting fermion systems
• First order character and observable signatures of topological quantum phase transitions
• AIII and BDI Topological Systems at Strong Disorder
• Correlated spin currents generated by resonant crossed Andreev reflections in topological superconductors
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• Majorana fermions in ferromagnetic chains on the surface of bulk spin-orbit coupled $s$-wave superconductors
• Kaleidoscope of symmetry protected topological phases in one-dimensional periodically modulated lattices
• Fractional Fermions with Non-Abelian Statistics
• Localized end states in density modulated quantum wires and rings
• Flat Majorana bands in 2-d lattices with inhomogeneous magnetic fields: topology and stability
• Topological phases, topological flat bands, and topological excitations in a one-dimensional dimerized lattice with spin-orbit coupling
• Counting Majorana zero modes in superconductors
• Topological Invariants and Ground-State Wave Functions of Topological Insulators on a Torus
• Hidden-symmetry-protected topological phases on a one-dimensional lattice
• Focus on topological quantum computation

Cited by in corpus (13)

• Floquet topological phase transitions in a periodically quenched dimer
• Topological and non-topological features of generalized Su-Schrieffer-Heeger models
• Topological properties of subsystem-symmetry-protected edge states in an extended quasi-one-dimensional dimerized lattice
• One-dimensional topological metal
• Topological properties of a generalized spin-orbit-coupled Su-Schrieffer-Heeger model
• Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
• Topological states and interplay between spin-orbit and Zeeman interactions in a spinful Su-Schrieffer-Heeger nanowire
• Reentrant Topological Phase Transition in a Bridging Model between Kitaev and Haldane Chains
• Effects of correlations on phase diagrams of the two-dimensional Su-Schrieffer-Heeger model with the longer-range hoppings
• Emergence of Topological Non-Fermi Liquid Phases in a Modified Su-Schrieffer-Heeger Chain with Long-Range Interactions
• Topological states in chiral electronic chains
• Spin responses of a disordered helical superconducting edge under Zeeman field
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model