$Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain

Abstract

We theoretically report the emergence of $Z_4$ parafermion edge modes in a periodically driven spinful superconducting chain with modest fermionic Hubbard interaction. These parafermion edge modes represent $\pm \pi /(2T)$ quasienergy excitations ($T$ being the driving period), which have no static counterpart and arise from the interplay between interaction effect and periodic driving. At special parameter values, these exotic quasiparticles can be analytically and exactly derived. Strong numerical evidence of their robustness against variations in parameter values and spatial disorder is further presented. Our proposal offers a route toward realizing parafermions without fractional quantum Hall systems or complicated interactions.

14 pages, 5 figures. Published in PRB as a letter

References in corpus (26)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Scaling of Majorana Zero-Bias Conductance Peaks
• Exotic non-Abelian anyons from conventional fractional quantum Hall states
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Majorana box qubits
• Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states
• Time-Reversal-Invariant $Z_4$ Fractional Josephson Effect
• Roadmap to Majorana surface codes
• Non-Abelian parafermions in time-reversal invariant interacting helical systems
• Nonlinearity induced topological physics in momentum space and real space
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Generating controllable type-II Weyl points via periodic driving
• Majorana states in inhomogeneous spin ladders
• Nonlinear Dirac Cones
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Nonlocal discrete time crystals in periodically driven surface codes
• Time-periodic corner states from Floquet higher-order topology

Cited by in corpus (1)

• Topological $\pi$ modes and beyond