Hyperbolic fringe signal for twin impurity quasiparticle interference

Abstract

We study the quasiparticle interference (QPI) pattern emanating from a pair of adjacent impurities on the surface of a gapped superconductor (SC). We find that hyperbolic fringes (HF) in the QPI signal can appear due to the loop contribution of the two-impurity scattering, where the location of the two impurities are the hyperbolic focus points. For a single pocket Fermiology, an HF pattern signals chiral SC order for non-magnetic impurities and requires magnetic impurities for non-chiral SC. For a multi-pocket scenario, a sign-changing order parameter such as $s_{\pm }$-wave likewise yields an HF signature. We discuss twin impurity QPI as a new tool to complement the analysis of superconducting order from local spectroscopy.

References in corpus (27)

• Superconductivity in Iron Compounds
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Observation of Fermi-surface-dependent nodeless superconducting gaps in Ba0.6K0.4Fe2As2
• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Characterization of collective ground states in single-layer NbSe2
• Reply to Comment on "Unconventional s-wave superconductivity in Fe(Se,Te)"
• Topological superconducting phase in helical Shiba chains
• Pronounced drop of ${}^{17}$O NMR Knight shift in superconducting state of Sr${}_2$RuO${}_4$
• Quasiparticle Scattering Interference in High Temperature Superconductors
• Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
• Anisotropic Energy Gaps of Iron-based Superconductivity from Intra-band Quasiparticle Interference in LiFeAs
• Influence of Gap Extrema on the Tunneling Conductance Near an Impurity in an Anisotropic Superconductor
• Quasiparticle Interference on the Surface of the Topological Insulator Bi${}_2$Te${}_3$
• The local spectrum of a superconductor as a probe of interactions between magnetic impurities
• Quasiparticle Interference, quasiparticle interactions and the origin of the charge density-wave in 2H-NbSe${}_2$
• Anisotropic chiral d+id superconductivity in NaxCoO2 yH2O
• Quantum Interference between Impurities: Creating Novel Many-Body States in s-wave Superconductors
• Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
• Triplet Superconductivity from Nonlocal Coulomb Repulsion in an Atomic Sn Layer Deposited onto a Si(111) Substrate
• Quasiparticle interference in iron-based superconductors
• Two impurities in a d-wave superconductor:local density of states
• Quasiparticle interference in an iron-based superconductor
• Impurity bound states in fully gapped $d$-wave superconductors with subdominant order parameters
• Aharonov-Bohm oscillations in the local density of states
• Yu-Shiba-Rusinov states in 2D superconductors with arbitrary Fermi contours
• Selection rules for quasiparticle interference with internal nonsymmorphic symmetries

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