Quasi 1D topological nodal vortex line phase in doped superconducting 3D Dirac Semimetals

Abstract

We study the vortex bound states in three dimensional (3D) superconducting Dirac semimetals with time reversal symmetry. Assuming two Dirac points on the kz-axis and bulk s-wave superconductivity, with a quantum vortex line parallel to the z-direction, we find that the superconducting vortex line has a robust quasi-1D nodal phase. The nodal phase stems from the symmetry protected Dirac points in the normal state bands, and it can be characterized by a topological index (ν; n) at kz = 0 and kz = π, where νis the Z2 topological invariant for a 0D class-D system and n is the Z topological invariant for a 0D class-A system according to the Altland- Zirnbauer classification. Based on the topological index, we find that vortex end Majorana zero mode can coexist with the quasi-1D nodal phase in certain kinds of Dirac semimetals. The influence of the symmetry breaking perturbations on the quasi-1D nodal phase is also analyzed. Finally, we discuss the possible material realization of such nodal vortex line state.

References in corpus (64)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Non-Abelian Anyons and Topological Quantum Computation
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Topological Insulators in Three Dimensions
• Topological Insulators with Inversion Symmetry
• Classification of topological insulators and superconductors in three spatial dimensions
• Classification of topological quantum matter with symmetries
• New directions in the pursuit of Majorana fermions in solid state systems
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Weyl Semimetal in a Topological Insulator Multilayer
• Quantum Spin Hall Effect
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Topological Materials: Weyl Semimetals
• Dirac semimetal in three dimensions
• Topological nodal semimetals
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Colloquium: Topological Band Theory
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Superconductivity in Weyl Semimetal Candidate MoTe2
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
• Chiral Topological Superconductor From the Quantum Hall State
• Time-reversal invariant realization of the Weyl semimetal phase
• Triple Point Topological Metals
• Topological Semimetals with Triply Degenerate Nodal Points in θ-phase Tantalum Nitride
• Experimental Realization of Type-II Dirac Fermions in PdTe${}_2$ Superconductor
• Topological superconductivity on the surface of Fe-based superconductors
• Multiple topological states in iron-based superconductors
• Weyl superconductors
• Robust and clean Majorana zero mode in the vortex core of high-temperature superconductor (Li0.84Fe0.16)OHFeSe
• Co-existence of Weyl Fermion and Massless Triply Degenerate Nodal Points
• Topological superconductivity in Dirac semimetals
• Unconventional Anisotropic s-Wave Superconducting Gaps of LiFeAs Iron-Pnictide Superconductor
• Tuning phase transition between quantum spin Hall and ordinary insulating phases
• Experimental Observation of Topological Superconductivity and Majorana Zero Modes on beta-Bi2Pd Thin Films
• New class of topological superconductors protected by magnetic group symmetries
• ${}^{75}$As NQR and NMR studies of superconductivity and electron correlations in iron arsenide Li${}_x$FeAs
• Vortex Lines in Topological Insulator-Superconductor Heterostructures
• Equivalent topological invariants for one-dimensional Majorana wires in symmetry class D
• Approaching the Type-II Dirac Point and Concomitant Superconductivity in Pt-doping Stabilized Metastable 1T-phase IrTe2
• Sign inversion in the superconducting order parameter of LiFeAs inferred from Bogoliubov quasiparticle interference
• Discovery of a strain-stabilised smectic electronic order in LiFeAs
• A generic theory for Majorana zero modes in 2D superconductors
• Is a color superconductor topological?
• Non-Abelian Majorana modes protected by an emergent second Chern number
• Stabilization of Majorana modes in vortices in the superconducting phase of topological insulators using topologically trivial bands
• Crystalline topological Dirac semimetal phase in rutile structure ${\beta }^{\prime }$-PtO${}_2$
• $Z_2$ index for gapless fermionic modes in the vortex core of three dimensional paired Dirac fermions
• Topological crystalline superconductors with linearly and projectively represented $C_n$ symmetry
• Realization of low-energy Dirac fermions in (Ir${}_{1-x}$Pt${}_x$)Te${}_2$ superconductors

Cited by in corpus (31)

• On the Remarkable Superconductivity of FeSe and its Close Cousins
• Tunable vortex Majorana zero modes in LiFeAs superconductor
• Vortex end Majorana zero modes in superconducting Dirac and Weyl semimetals
• Detection of second-order topological superconductors by Josephson junctions
• Vortex-line topology in iron-based superconductors with and without second-order topology
• Topological Superconductivity in an s-wave Superconductor and Its Implication to Iron-based Superconductors
• Competing Vortex Topologies in Iron-based Superconductors
• Quantum phase transition of correlated iron-based superconductivity in LiFe${}_{1-x}$Co${}_x$As
• Topological Vortex Phase Transitions in Iron-Based Superconductors
• Tunable vortex Majorana modes controlled by strain in homogeneous LiFeAs
• Emergent vortex Majorana zero mode in iron-based superconductors
• Surface Bogoliubov-Dirac cones and helical Majorana hinge modes in superconducting Dirac semimetals
• Topological Superconductivity from Unconventional Band Degeneracy with Conventional Pairing
• Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly
• Topological Superconducting Vortex From Trivial Electronic Bands
• Observation of surface superconductivity in a three-dimensional Dirac material
• Unveiling spin-orbital angular momentum locking in photonic Dirac vortex cavities
• Gapless vortex bound states in superconducting topological semimetals
• Crystal-symmetry-protected gapless vortex-line phases in superconducting Dirac semimetals
• Double Majorana Vortex Flat Bands in the Topological Dirac Superconductor
• In the Pursuit of Majorana Modes in Iron-based High-$T_c$ Superconductors
• Fragile topology in nodal-line semimetal superconductors
• Angular momentum of vortex-core Majorana zero modes
• Anomalous Linear and Quadratic Nodeless Surface Dirac Cones in Three-Dimensional Dirac Semimetals
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Fermi arc criterion for surface Majorana modes in superconducting time-reversal symmetric Weyl semimetals
• Majorana Flat Bands in the Vortex Line of Superconducting Weyl Semimetals
• Inversion-symmetric Electron Gases as New Platforms for Topological Planar Josephson Junctions
• Altermagnetism Induced Bogoliubov Fermi Surfaces Form Topological Superconductivity
• Evolution of the intertwining correlated topological phases in iron-based superconductor Fe(Te,Se)
• Majorana vortex phases in time-reversal invariant higher-order topological insulators and topologically trivial insulators