Edge-currents in superconductors with a broken time-reversal symmetry

Abstract

We analyze edge currents and edge bands at the surface of a time-reversal symmetry breaking d_{x^2-y^2}+id_{xy} superconductor. We show that the currents have large Friedel oscillations with two interfering frequencies: \sqrt{2}k_F from sub-gap states, and 2 k_F from the continuum. The results are based independently on a self-consistent slave-boson mean field theory for the t-J model on a triangular lattice, and on a T-matrix scattering theory calculation. The shape of the edge-state band, as well as the particular frequency \sqrt{2}k_F of the Friedel oscillations are attributes unique for the d_{x^2-y^2}+id_{xy} case, and may be used as a fingerprint for its identification. Extensions to different time-reversal symmetry breaking superconductors can be achieved within the same approach.

arXiv commentnew introduction, minor changes in the text, published in Phys. Rev. Lett

References in corpus (9)

• The spin quantum Hall effect in unconventional superconductors
• An Electronic Model for $Co{O}_2$ layer based systems: Chiral RVB metal and Superconductivity
• Quasiparticle States near the Surface and the Domain Wall in a p_x\pm i p_y-Wave Superconductor
• Superconductivity in CoO${}_2$ Layers and the Resonating Valence Bond Mean Field Theory of the Triangular Lattice t-J model
• Doped t-J Model on a Triangular Lattice: Possible Application to Na${}_x$CoO${}_2\cdot y$H${}_2$0 and Na${}_{1-x}$TiO${}_2$
• Renormalized mean-field theory of the neutron scattering in cuprate superconductors
• Inhomogeneous d-wave superconducting state of a doped Mott insulator
• Impurity and interface bound states in $d_{x^2-y^2}+i{d}_{xy}$ and $p_x+i{p}_y$ superconductors
• Superconductors with broken time-reversal symmetry: Spontaneous magnetization and quantum Hall effects

Cited by in corpus (16)

• Chiral d-wave superconductivity in doped graphene
• Vanishing edge currents in non-$p$-wave topological chiral superconductors
• Symmetry of the superconducting order parameter in frustrated systems determined by the spatial anisotropy of spin correlations
• Unconventional superconductivity on the triangular lattice Hubbard model
• Kohn-Luttinger mechanism driven exotic topological superconductivity on the Penrose lattice
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• Topological and edge state properties of a three-band model for Sr2RuO4
• Shiba chains of scalar impurities on unconventional superconductors
• Mixed order parameters, accidental nodes and broken time reversal symmetry in organic superconductors: a group theoretical analysis
• Edge current and orbital angular momentum of chiral superfluids revisited
• Emergence of superconductivity, valence bond order and Mott insulators in Pd[(dmit)2] based organic salts
• Robustness of chiral surface current and subdominant $s$-wave Cooper pairs
• Identifying the pairing symmetry in sodium cobalt oxide by Andreev edge states
• Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. I. Continuum description
• Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. II. Topological classification
• Quantum theory for edge current and noise in two-dimensional topological superconductors