Structure of vortex-bound states in spin-singlet chiral superconductors

Abstract

We investigate the structure of vortex-bound states in spin-singlet chiral superconductors with ($d_{x^2-y^2}\pm i{d}_{xy}$)-wave and ($d_{xz}\pm i{d}_{yz}$)-wave pairing symmetries. It is found that vortices in the ($d_{xz}\pm i{d}_{yz}$)-wave state bind zero-energy states which are dispersionless along the vortex line, forming a doubly degenerate Majorana flat band. Vortex-bound states of ($d_{x^2-y^2}\pm i{d}_{xy}$)-wave superconductors, on the other hand, exist only at finite energy. Using exact diagonalization and analytical solutions of tight-binding Bogoliubov-de Gennes Hamiltonians, we compute the energy spectrum of the vortex-bound states and the local density of states around the vortex and antivortex cores. We find that the tunneling conductance peak of the vortex is considerably broader than that of the antivortex. This difference can be used as a direct signature of the chiral order parameter symmetry.

8 pages, 6 figures

References in corpus (14)

• Non-Abelian Anyons and Topological Quantum Computation
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Resonantly-paired fermionic superfluids
• Exotic Superconducting Properties in the Electron-Hole Compensated Heavy Fermion `Semimetal' URu2Si2
• Topological surface states in nodal superconductors
• Evidence for broken time-reversal symmetry in the superconducting phase of URu${}_2$Si${}_2$
• Dirac Surface States and Nature of Superconductivity in Noncentrosymmetric BiPd
• Flat band in the core of topological defects: bulk-vortex correspondence in topological superfluids with Fermi points
• Majorana fermions of a two-dimensional Px+iPy superconductor
• Electronic correlations stabilizing time-reversal broken chiral superconductivity in single-trilayer TiSe${}_2$
• Testing for Majorana Zero Modes in a Px+iPy Superconductor at High Temperature by Tunneling Spectroscopy
• Structure and consequences of vortex-core states in p-wave superfluids
• Majorana vortex-bound states in three-dimensional nodal noncentrosymmetric superconductors

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• Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study
• Angular momentum of vortex-core Majorana zero modes
• Condensation of fermion zero modes in the vortex in nodal superfluids/superconductors