Quasi-Particle Bound States around Impurities in d-wave Superconductors

Abstract

Zn and Ni impurities in the hole-doped high-temperature superconductors are known to have strong effects on thermodynamic and transport properties. A recent scanning tunneling microscope study of Zn-doped Bi2212 (Pan et al., Nature 403, 746 (2000)) has provided high-resolution images of the local density of states around non-magnetic impurities in d-wave superconductors. These pictures contain detailed information about the spinor wave functions u(r) and v(r) of bound states with energy E_0 \sim Delta/30, centered at the Zn-sites. We show that this type of wave function follows from the solutions of the Bogoliubov-de Gennes equations for d-wave superconductors.

RevTex, 11 pages with 5 eps figures

References in corpus (11)

• Imaging the Effects of Individual Zinc Impurity Atoms on Superconductivity in Bi2Sr2CaCu2O8+delta
• Phase-sensitive Evidence for d-wave Pairing Symmetry in Electron-doped Cuprate Superconductors
• Spectral Properties of Quasiparticle Excitations Induced by Magnetic Moments in Superconductors
• Low-Energy Quasiparticles in Cuprate Superconductors: A Quantitative Analysis
• Low Temperature Penetration depth of κ-(ET)_2Cu[N(CN)_2]Br and κ-(ET)_2Cu(NCS)_2
• Influence of Gap Extrema on the Tunneling Conductance Near an Impurity in an Anisotropic Superconductor
• Quasiparticle transport in the vortex state of YBa_2Cu_3O_6.9
• Local density of states around a magnetic impurity in high-Tc superconductors based on the t-J model
• Extended Gapless Regions in Disordered d_{x^2-y^2}-Wave Superconductors
• Analytical Results for Random Band Matrices with Preferential Basis
• Low-lying excitations around a single vortex in a d-wave superconductor

Cited by in corpus (25)

• Interplay of magnetism and high-Tc superconductivity at individual Ni impurity atoms in Bi2Sr2CaCu2O8+d
• Andreev bound states in high-$T_c$ superconducting junctions
• Visualizing Nodal Heavy Fermion Superconductivity in CeCoIn5
• Evidence of Doping-Dependent Pairing Symmetry in Cuprate Superconductors
• Persistence of Li Induced Kondo Moments in the Superconducting State of Cuprates
• Kondo effect of impurity moments in d-wave superconductors: Quantum phase transition and spectral properties
• Resonant Impurity States in the D-Density-Wave Phase
• Quantum interference between non-magnetic impurities in d_x2-y2-wave superconductors
• Spin-polarized quasiparticle transport in cuprate superconductors
• Defect Induced Resonances and Magnetic Patterns in Graphene
• Van Hove features in BSCCO(2212) and effective parameters for Ni impurities inferred from STM spectra
• Localized Bosonic Modes in Superconductors
• Interplay of quantum magnetic and potential scattering around Zn or Ni impurity ions in superconducting cuprates
• Local density of states for the corner geometry interface of d-wave superconductors, within the extended Hubbard model
• Differential Conductance and Defect States in the Heavy Fermion Superconductor CeCoIn${}_5$
• Mirage phenomena in superconducting quantum corrals
• Impurity Bound States and Symmetry of the Superconducting Order Parameter in Sr_2RuO_4
• Zeeman effects on the impurity-induced resonances in d-wave superconductors
• Nanoscale Impurity Structures on the Surface of $d_{x^2-y^2}$-wave Superconductors
• Magnetic effect from non-magnetic impurity in superconducting CuO_{2} plane
• Spatial modulation of a unitary impurity-induced resonances in superconducting CeCoIn${}_5$
• Linear response function around a localized impurity in a superconductor
• Unitary Limit of Spin-orbit scattering in two-dimensional s- and d-wave superconductors
• Chiral $p-$wave superconductivity in Pb${}_{1-x}$Sn${}_x$Te: signatures from bound-state spectra and wavefunctions
• Intermediate band analysis in Green's functions calculations of quasiparticle interference