Magnetic-Field-Induced Topological Reorganization of a P-wave Superconductor

Abstract

In this work we illustrate the detrimental impact of the Cooper pair's spin-structure on the thermodynamic and topological properties of a spin-triplet superconductor in an applied Zeeman field. We particularly focus on the paradigmatic one-dimensional case (Kitaev chain) for which we self-consistently retrieve the energetically preferred Cooper pair spin-state in terms of the corresponding spin d-vector. The latter undergoes a substantial angular and amplitude reorganization upon the variation of the strength and the orientation of the field and results to a modification of the bulk topological phase diagram. Markedly, when addressing the open chain we find that the orientation of the d-vector varies spatially near the boundary, affecting in this manner the appearance of Majorana fermions at the edge or even altering the properties of the bulk region. Our analysis reveals the limitations and breakdown of the bulk-boundary correspondence in interacting topological systems.

5 pages, 3 panels of figures; Minor corrections in the new version, which will appear in Phys. Rev. B as a Rapid Communication

References in corpus (12)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Introduction to topological superconductivity and Majorana fermions
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Spin Triplet Superconducting State due to Broken Inversion Symmetry in Li_2Pt_3B
• Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
• Topological zero modes and Dirac points protected by spatial symmetry and chiral symmetry
• Zeeman field induced topological phase transitions in triplet superconductors

Cited by in corpus (12)

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• Anomalous Josephson Coupling and High-Harmonics in Non-Centrosymmetric Superconductors with $S$-wave Spin-Triplet Pairing
• Spin-triplet superconductor$-$quantum anomalous Hall insulator$-$spin-triplet superconductor Josephson junctions: $0$-$\pi$ transition, ${\varphi }_0$ phase and switch effects
• Spin-orbital polarization of Majorana edge states in oxides nanowires
• High orbital-moment Cooper pairs by crystalline symmetry breaking
• Inverse Proximity Effects at Spin-Triplet Superconductor-Ferromagnet Interface
• Odd-frequency pairing in a nonunitary p-wave superconductor with multiple Majorana fermions
• Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
• Topological phase transitions in superconductors with chiral symmetry
• Magnetic exchange interaction in spin-valve with chiral spin-triplet superconductor
• Particle-hole spectral asymmetry at the edge of multiorbital noncentrosymmetric superconductors