Emergence of $d\pm ip$-wave superconducting state at the edge of $d$-wave superconductors mediated by Andreev-bound-state-driven ferromagnetic fluctuations

Abstract

We propose a mechanism of spin-triplet superconductivity at the edge of $d$-wave superconductors. Recent theoretical research in $d$-wave superconductors predicted that strong ferromagnetic (FM) fluctuations are induced by large density of states due to edge Andreev bound states (ABS). Here, we construct the linearized gap equation for the edge-induced superconductivity, and perform a numerical study based on a large cluster Hubbard model with bulk $d$-wave superconducting (SC) gap. We find that ABS-induced strong FM fluctuations mediate the $d\pm ip$-wave SC state, in which the time-reversal symmetry is broken. The edge-induced $p$-wave transition temperature $T_{cp}$ is slightly lower than the bulk $d$-wave one $T_{cd}$, and the Majorana bound state may be created at the endpoint of the edge.

arXiv comment10 pages, 10 figures

References in corpus (44)

• Unpaired Majorana fermions in quantum wires
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Scanning tunneling spectroscopy of high-temperature superconductors
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Impurity-Induced Quasiparticle Transport and Universal Limit Wiedemann-Franz Violation in d-Wave Superconductors
• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• Hall Effect and Resistivity in High-Tc Superconductors: The Conserving Approximation
• p-wave and d-wave superconductivity in quasi-two-dimensional metals
• Two-dimensional p-wave superconducting states with magnetic moments on a conventional s-wave superconductor
• Bond order in two-dimensional metals with antiferromagnetic exchange interactions
• Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations
• Spinless impurities in high Tc cuprates: Kondo-like behavior
• Quantum critical effects on transition temperature of magnetically mediated p-wave superconductivity
• Crossover from weak to strong pairing in unconventional superconductors
• Sign-reversing orbital polarization in the nematic phase of FeSe due to the $C_2$ symmetry-breaking in the self-energy
• Normal State Magnetic Properties of Ni and Zn Substituted in YBa_{2}Cu_{3} O_{6+x}: Hole-Doping Dependence
• Instabilities near the onset of spin density wave order in metals
• Evidence for time-reversal symmetry breaking of the superconducting state near twin-boundary interfaces in FeSe
• Tunneling conductance of normal metal / $d_{x^2-y^2}$-wave superconductor junctions in the presence of broken time reversal symmetry states near interfaces
• Spin-Fluctuation-Driven Nematic Charge-Density-Wave in Cuprate Superconductors: Impact of Aslamazov-Larkin-Type Vertex Correction
• Superconductivity near Itinerant Ferromagnetic Quantum Criticality
• Majorana Edge States in Superconductor/Noncollinear Magnet Interfaces
• Effect of Nonmagnetic Impurity in Nearly Antiferromagnetic Fermi Liquid: Magnetic Correlations and Transport Phenomena
• Proximity-induced time-reversal symmetry breaking at Josephson junctions between unconventional superconductors
• Spontaneously broken time-reversal symmetry in high-temperature superconductors
• Antiferromagnetic correlations and impurity broadening of NMR linewidths in cuprate superconductors
• Renormalization of the elementary excitations in hole- and electron-doped cuprates due to spin fluctuations
• Theory of Thermoelectric Power in High-Tc Superconductors
• Dynamics of the Local Moment Induced by Nonmagnetic Defects in Cuprates
• 89Y NMR Probe of Zn Induced Local Magnetism in YBa2(Cu(1-y)Zn(y))3O(6+x)
• Andreev states near short-ranged pairing potential impurities
• Competing Unconventional Charge-Density-Wave States in Cuprate Superconductors: Spin-Fluctuation-Driven Mechanism
• Spontaneously broken translational symmetry at edges of high-temperature superconductors: thermodynamics in magnetic field
• Effects of dilute Zn impurities on the uniform magnetic susceptibility of YBa2Cu3O{7-delta}
• Influence of impurity scattering on tunneling conductance in normal metal- d -wave superconductor junctions
• General Formula for the Magnetoresistance on the Basis of the Fermi Liquid Theory
• Asymptotically Exact Solution for Superconductivity near Ferromagnetic Criticality
• Time-reversal symmetry breaking surface states in t-J model
• Nonlocal Effect of Local Nonmagnetic Impurity in High-Tc Superconductors: Induced Local Moment and Huge Residual Resistivity
• Emergence of strongly correlated electronic states driven by the Andreev bound state in d-wave superconductors
• Edge-induced strongly correlated electronic states in two-dimensional Hubbard model: Enhancement of magnetic correlations and self-energy effects

Cited by in corpus (8)

• Disorder-robust phase crystal in high-temperature superconductors stabilized by strong correlations
• Breaking time-reversal and translational symmetry at edges of $d$-wave superconductors: microscopic theory and comparison with quasiclassical theory
• Generation of odd-frequency surface superconductivity with spontaneous spin current due to the zero-energy Andreev bound state
• Tunnelling conductance of $d+ip$-wave superconductor
• Possible Spin-Density Wave on Fermi Arc of Edge State in Single-Component Molecular Conductors [Pt(dmdt)${}_2$] and [Ni(dmdt)${}_2$]
• Spontaneous Magnetic Field and Local Density of States near a Time-Reversal Symmetry Broken Surface State of YBCO
• Strengthened correlations near [110] edges of $d$-wave superconductors in the t-J model with the Gutzwiller approximation
• Zero-Field Surface Charge Due to the Gap Suppression in $d$-Wave Superconductors