Topological superconductivity in Dirac semimetals

Abstract

Dirac semimetals host bulk band-touching Dirac points and a surface Fermi loop. We develop a theory of superconducting Dirac semimetals. Establishing a relation between the Dirac points and the surface Fermi loop, we clarify how the nontrivial topology of Dirac semimetals affects their superconducting state. We note that the unique orbital texture of Dirac points and a structural phase transition of the crystal favor symmetry-protected topological superconductivity with a quartet of surface Majorana fermions. We suggest possible application of our theory to recently discovered superconducting states in Cd${}_3$As${}_2$.

6 pages, 2 figures

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Cited by in corpus (105)

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• Topology of nonsymmorphic crystalline insulators and superconductors
• Superconductivity in the antiperovskite Dirac-metal oxide Sr${}_3$SnO
• On the Remarkable Superconductivity of FeSe and its Close Cousins
• Topologically stable magnetization states on a spherical shell: curvature stabilized skyrmions
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• Topological Semimetal Nanostructures: From Properties to Topotronics
• Tip induced unconventional superconductivity on Weyl semimetal TaAs
• Z_2 and Chiral Anomalies in Topological Dirac Semimetals
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• Nernst effect in Dirac and inversion-asymmetric Weyl semimetals
• Superconductivity in topologically nontrivial material Au2Pb
• Exploring Topological Superconductivity in Topological Materials
• Topological crystalline superconductivity in locally noncentrosymmetric CeRh${}_2$As${}_2$
• Approaching the Type-II Dirac Point and Concomitant Superconductivity in Pt-doping Stabilized Metastable 1T-phase IrTe2
• Three-Dimensional Majorana Fermions in Chiral Superconductors
• Quasi 1D topological nodal vortex line phase in doped superconducting 3D Dirac Semimetals
• Vortex end Majorana zero modes in superconducting Dirac and Weyl semimetals
• Superconductivity and Fermi Surface Nesting in the Candidate Dirac Semimetal NbC
• Topological Crystalline Materials of $J=3/2$ Electrons: Antiperovskites, Dirac points, and High Winding Topological Superconductivity
• Nodeless superconductivity in type-II Dirac semimetal PdTe2: low-temperature London penetration depth and symmetry analysis
• Bulk and surface states carried supercurrent in ballistic Nb-Dirac semimetal Cd3As2 nanowire-Nb junctions
• $Z_4$ Topological Superconductivity in UCoGe
• Manipulation and braiding of Weyl nodes using symmetry-constrained phase transitions
• Coexistience of phononic six-fold, four-fold and three-fold excitations in ternary antimonide Zr3Ni3Sb4
• Surface electronic state of superconducting topological crystalline insulator
• Topological Superconductivity in an s-wave Superconductor and Its Implication to Iron-based Superconductors
• Electron Transport in Dirac and Weyl Semimetals
• Topological Electronic States in HfRuP Family Superconductors
• Dirac lines and loop at the Fermi level in the Time-Reversal Symmetry Breaking Superconductor LaNiGa${}_2$
• Majorana multipole response of topological superconductors
• Observation of sub-kelvin superconductivity in Cd${}_3$As${}_2$ thin films
• Superconductivity provides access to the chiral magnetic effect of an unpaired Weyl cone
• Single full gap with mixed type-I and type-II superconductivity on surface of the type-II Dirac semimetal PdTe2 by point-contact spectroscopy
• Quantum phase transition of correlated iron-based superconductivity in LiFe${}_{1-x}$Co${}_x$As
• Disorder-induced exceptional and hybrid rings in Weyl/Dirac semimetals
• Strain-tunable Dirac semimetal phase transition and emergent superconductivity in a borophane
• Superconductivity in the nonsymmorphic line-nodal compound CaSb${}_2$
• Charge/Spin Supercurrent and the Fulde-Ferrell State Induced by Crystal Deformation in Weyl/Dirac Superconductors
• Nodal higher-order topological superconductivity from a ${\mathcal{C}}_4$-symmetric Dirac semimetal
• Observation of inverted band structure in topological Dirac-semimetal candidate CaAuAs
• Type-II Dirac states in full Heusler compounds XInPd2 (X = Ti, Zr and Hf)
• Surface Bogoliubov-Dirac cones and helical Majorana hinge modes in superconducting Dirac semimetals
• A Weyl-${\mathrm{Z}}_2$ semimetal from holography
• Topological Crystalline Superconductivity in Dirac Semimetal Phase of Iron-based Superconductors
• Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly
• Fully gapped spin-singlet superconductivity in noncentrosymmetric PbTaSe${}_2$ : ${}^{207}$Pb-NMR
• Spin Hall conductivity in topological Dirac semimetals
• Nodal topological superconductivity in nodal-line semimetals
• Majorana multipole response: General theory and application to wallpaper groups
• Pressure-induced superconductivity in the three-dimensional Dirac semimetal Cd3As2
• Observation of surface superconductivity in a three-dimensional Dirac material
• Odd-frequency Berezinskii superconductivity in Dirac semimetals
• Superconducting density of states and bandstructure at the surface of the candidate topological superconductor Au2Pb
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Magnetic Response of Majorana Kramers Pairs Protected by Z2 Invariants
• Observation of the topological Dirac fermions and surface states in superconducting BaSn3
• Nodal S-wave Superconductivity in Antiferromagnetic Semimetals
• Unconventional Majorana fermions on the surface of topological superconductors protected by rotational symmetry
• Quasi-2D Fermi surface of superconducting line-nodal metal CaSb${}_2$
• Chiral Meissner effect in time-reversal invariant Weyl superconductors
• Nodeless superconductivity in the topological nodal-line semimetal CaSb2
• Dirac fermion and superconductivity in two-dimensional transition-metal MOH (M= Zr, Hf )
• Non-Abelian properties of electron wave packets in Dirac semimetals A${}_3$Bi (A=Na,K,Rb)
• Larkin-Ovchinnikov state of superconducting Weyl metals: Fundamental differences between pairings restricted and extended in the $\text{k}$-space
• Pairing mechanism of unconventional superconductivity in doped Kane-Mele model
• Spin-Nernst Effect in Time-Reversal-Invariant Topological Superconductors
• Hydrodynamics of topological Dirac semi-metals with chiral and ${\mathbb{Z}}_2$ anomalies
• Mirror anomaly and anomalous Hall effect in type-I Dirac semimetals
• Weyl Nodal-Ring Semimetallic Behavior and Topological Superconductivity in Crystalline Forms of Su-Schrieffer-Heeger Chains
• Electric Multipoles of Double Majorana Kramers Pairs
• Inter-node superconductivity in strained Weyl semimetals
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• Topological Critical Materials of Ternary Compounds
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• Tip-induced Superconductivity
• Bound states around impurities in a superconducting bilayer
• Emergence of Topological Superconductivity in Doped Topological Dirac Semimetals under Symmetry-Lowering Lattice Distortions
• Fully gapped superconductivity without sign reversal in the topological superconductor PbTaSe${}_2$
• Probing mirror anomaly and classes of Dirac semimetals with circular dichroism
• Three-dimensional time reversal invariant topological superconductivity in doped chiral topological semimetals
• Pressure-induced reconstructive phase transition in Cd${}_3$As${}_2$
• Double Majorana Vortex Flat Bands in the Topological Dirac Superconductor
• Superconductivity in Weyl semimetals in a strong pseudomagnetic field
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• Hinge Majorana Flat Band in Type-II Dirac Semimetals
• Absence of backscattering in Fermi-arc-mediated conductivity of topological Dirac semimetal Cd${}_3$As${}_2$
• Anomalous Linear and Quadratic Nodeless Surface Dirac Cones in Three-Dimensional Dirac Semimetals
• Intrinsic spin Nernst effect in topological Dirac and magnetic Weyl semimetals
• Inversion-symmetric Electron Gases as New Platforms for Topological Planar Josephson Junctions
• Superconducting Gap Structures in Wallpaper Fermion Systems
• Majorana Flat Bands in the Vortex Line of Superconducting Weyl Semimetals
• Evolution of the intertwining correlated topological phases in iron-based superconductor Fe(Te,Se)
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Pressure induced electronic band evolution and observation of superconductivity in the Dirac semimetal ZrTe5
• Double-twisted surface spectrum from hybridized Majorana Kramers pairs and wallpaper fermions
• Multigap nodeless superconductivity in Dirac semimetal PdTe