Superconductivity in doped Dirac semimetals

Abstract

We theoretically study intrinsic superconductivity in doped Dirac semimetals. Dirac semimetals host bulk Dirac points, which are formed by doubly degenerate bands, so the Hamiltonian is described by a $4\times 4$ matrix and six types of $k$-independent pair potentials are allowed by the Fermi-Dirac statistics. We show that the unique spin-orbit coupling leads to characteristic superconducting gap structures and $d$ vectors on the Fermi surface and the electron-electron interaction between intra and interorbitals gives a novel phase diagram of superconductivity. It is found that when the inter-orbital attraction is dominant, an unconventional superconducting state with point nodes appears. To verify the experimental signature of possible superconducting states, we calculate the temperature dependence of bulk physical properties such as electronic specific heat and spin susceptibility and surface state. In the unconventional superconducting phase, either dispersive or flat Andreev bound states appear between point nodes, which leads to double peaks or single peak in the surface density of states, respectively. As a result, possible superconducting states can be distinguished by combining bulk and surface measurements.

17 pages, 11 figures

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• Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators
• Topological Blount's theorem of odd-parity superconductors
• Topologically protected flat zero-energy surface bands in non-centrosymmetric superconductors
• Crossed surface flat bands of Weyl semimetal superconductors
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Cited by in corpus (55)

• Topological superconductors: a review
• Multiple topological states in iron-based superconductors
• Superconductivity in the antiperovskite Dirac-metal oxide Sr${}_3$SnO
• On the Remarkable Superconductivity of FeSe and its Close Cousins
• Second-order Dirac superconductors and magnetic field induced Majorana hinge modes
• Type I superconductivity in the Dirac semimetal PdTe2
• Topological Semimetal Nanostructures: From Properties to Topotronics
• Higher-Order Topological Dirac Superconductors
• Nernst effect in Dirac and inversion-asymmetric Weyl semimetals
• Vortex and Surface Phase Transitions in Superconducting Higher-order Topological Insulators
• Vortex end Majorana zero modes in superconducting Dirac and Weyl semimetals
• Topological Crystalline Materials of $J=3/2$ Electrons: Antiperovskites, Dirac points, and High Winding Topological Superconductivity
• Bulk and surface states carried supercurrent in ballistic Nb-Dirac semimetal Cd3As2 nanowire-Nb junctions
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Time-reversal and rotation symmetry breaking superconductivity in Dirac materials
• Coexistence of bulk-nodal and surface-nodeless Cooper pairings in a superconducting Dirac semimetal
• 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
• Effect of Zeeman coupling on the Majorana vortex modes in iron-based topological superconductors
• Quantum phase transition of correlated iron-based superconductivity in LiFe${}_{1-x}$Co${}_x$As
• Charge/Spin Supercurrent and the Fulde-Ferrell State Induced by Crystal Deformation in Weyl/Dirac Superconductors
• Longitudinal magnetoconductance and the planar Hall conductance in inhomogeneous Weyl semimetals
• Nodal higher-order topological superconductivity from a ${\mathcal{C}}_4$-symmetric Dirac semimetal
• Transverse thermopower in Dirac and Weyl semimetals
• Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly
• Topological Crystalline Superconductivity in Dirac Semimetal Phase of Iron-based Superconductors
• Nodal topological superconductivity in nodal-line semimetals
• Spin Hall conductivity in topological Dirac semimetals
• Majorana multipole response: General theory and application to wallpaper groups
• Superconducting density of states and bandstructure at the surface of the candidate topological superconductor Au2Pb
• Odd-frequency Berezinskii superconductivity in Dirac semimetals
• Magnetic Response of Majorana Kramers Pairs Protected by Z2 Invariants
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Thermoelectric detection of Andreev states in unconventional superconductors
• Unconventional Majorana fermions on the surface of topological superconductors protected by rotational symmetry
• Dirac fermion and superconductivity in two-dimensional transition-metal MOH (M= Zr, Hf )
• Pairing mechanism of unconventional superconductivity in doped Kane-Mele model
• Spin-Nernst Effect in Time-Reversal-Invariant Topological Superconductors
• Mirror anomaly and anomalous Hall effect in type-I Dirac semimetals
• Electric Multipoles of Double Majorana Kramers Pairs
• Inter-node superconductivity in strained Weyl semimetals
• Probing mirror anomaly and classes of Dirac semimetals with circular dichroism
• Fully gapped superconductivity without sign reversal in the topological superconductor PbTaSe${}_2$
• Emergence of Topological Superconductivity in Doped Topological Dirac Semimetals under Symmetry-Lowering Lattice Distortions
• Bound states around impurities in a superconducting bilayer
• Double Majorana Vortex Flat Bands in the Topological Dirac Superconductor
• Representation-protected topology of spin-singlet $s$-wave superconductors
• Superconductivity in Weyl semimetals in a strong pseudomagnetic field
• Superconducting topological Dirac semimetals: $P6/m$-Si${}_6$ and $P6/m$-NaSi${}_6$
• Hinge Majorana Flat Band in Type-II Dirac Semimetals
• Intrinsic spin Nernst effect in topological Dirac and magnetic Weyl semimetals
• Engineering Helical Superconductors with Multiple Majorana Kramers Pairs via Higher-Order Rashba Spin-Orbit Coupling
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Tunable spin-charge conversion in class-I topological Dirac semimetals