Effects of anisotropic correlations in fermionic zero-energy bound states of topological phases

Abstract

Topological phases of matter have been used as a fertile realm of intensive discussions about fermionic fractionalization. In this work, we study the effects of anisotropic superconducting correlations in the fermionic fractionalization on the topological phases. We consider a hybrid version of the SSH and Kitaev models with an anisotropic superconducting order parameter to investigate the unusual states with zero energy that emerges in a finite chain. To obtain these zero energy solutions, we built a chain with a well-defined domain wall at the middle of the chain. Our solutions indicate an interesting dynamic between the zero-energy state around the domain wall and the superconducting correlation parameters. Finally, we find that the presence of an isolated Majorana at the ends of the chain is strongly dependent on the existence of the solitonic excitation at the middle of the chain.

arXiv comment10 figures and 10 pages

References in corpus (31)

• 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
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Search for Majorana fermions in superconductors
• Introduction to topological superconductivity and Majorana fermions
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Topological states in engineered atomic lattices
• Edge states and the bulk-boundary correspondence in Dirac Hamiltonians
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Topological characterization of chiral models through their long time dynamics
• Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
• Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization
• Su-Schrieffer-Heeger chain with one pair of PT-symmetric defects
• From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model
• Zero-energy pinning from interactions in Majorana nanowires
• Multi-critical Behavior in Topological Phase Transitions
• Generalized Aubry-André-Harper model with modulated hopping and $p$-wave pairing
• Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain
• Characterization of topological phases of modified dimerized Kitaev chain via edge correlation functions
• Exact solution to an interacting dimerized Kitaev model at symmetric point
• Exact solutions and topological phase diagram in interacting dimerized Kitaev topological superconductors
• Exact zero modes in a quantum compass chain under inhomogeneous transverse fields
• Dimerization-induced topological superconductivity in a Rashba nanowire
• Topological states in normal and superconducting $p$-wave chains
• A NOT operation on Majorana qubits with mobilizable solitons in an extended Su-Schrieffer-Heeger model

Cited by in corpus (2)

• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• Enhancing long-range order in disordered two-band s-wave superconductors