Local Strong Coupling Pairing in $D$-Wave Superconductor with Inhomogeneous Bosonic Modes

Abstract

Recent local tunneling data indicate strong nanoscale inhomogeneity of superconducting gap in high temperature superconductors. Strong local nanoscale inhomogeneity in the bosonic scattering mode has also been observed in the same samples. We argue that these two inhomogeneities directly related to each other. To address local boson scattering effects, we develop a local strong coupling model of superconducting pairing in a coarse grained superconducting state. Each patch is characterized by local coupling to the bosonic mode as well as by local mode energy. We find that local gap value on each patch grows with the local strength of electron-boson interaction. At the same time local gap value decreases with the local boson mode energy, an observation consistent with the tunneling experiments. We argue that features in the tunneling spectrum due to boson scattering are consistent with experimentally observed spectra. We also address the ${}^{16}O$ to ${}^{18}O$ isotope substitution. Since both coupling constant and boson energy could change upon isotope substitution, we prove that interplay between these two effects can produce results that are very different from conventional BCS model.

16 pages latex file, 15 eps and ps fig files. See more details at http://theory.lanl.gov

References in corpus (31)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Discovery of microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x
• Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+x
• Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
• On the Doping and Temperature Dependence of the Mass Enhancement Observed in the Cuprate Bi2212
• Renormalization of spectral lineshape and dispersion below Tc in Bi2Sr2CaCu2O8+d
• Electronic Spectra and Their Relation to the (pi,pi) Collective Mode in High-Tc Superconductors
• Phenomenological Models for the Gap Anisotropy of Bi-2212 as Measured by ARPES
• Evidence for an energy scale for quasiparticle dispersion in Bi_2Sr_2CaCu_2O_8
• Anisotropic electron-phonon interaction in the cuprates
• Inherent Inhomogeneities in Tunneling Spectra of BSCCO Crystals in the Superconducting State
• Electronic excitations in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$ : Fermi surface, dispersion, and absence of bilayer splitting
• Coupling Of The B1g Phonon To The Anti-Nodal Electronic States of Bi2Sr2Ca0.92Y0.08Cu2O(8+delta)
• Bosonic Mode Mixing in the Superconducting State Spectral Function of Bi_2Sr_2CaCu_2O_{8+delta}
• A relation between the resonance neutron peak and ARPES data in cuprates
• The neutron resonance: modeling photoemission and tunneling data in the superconducting state of Bi_2Sr_2CaCu_2O_{8+d}
• Multiple Bosonic Mode Coupling in Electron Self-Energy of (La_2-xSr_x)CuO_4
• Correlation of Tunneling Spectra in Bi2Sr2CaCu2O(8+delta) with the Resonance Spin Excitation
• Mass-renormalized electronic excitations at ($\pi$, 0) in the superconducting state of $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$
• Dopant-modulated pair interaction in cuprate superconductors
• Doping dependence of the mass enhancement in (Pb,Bi)_2 Sr_2 Ca Cu_2 O_8 at the antinodal point in the superconducting and normal state
• Effect of the magnetic resonance on the electronic spectra of high Tc superconductors
• Collective Modes and the Superconducting State Spectral Function of Bi2212
• Effect of an Electron-phonon Interaction on the One-electron Spectral Weight of a d-wave Superconductor
• Nanometer Scale Mapping of the Density of States in an Inhomogeneous Superconductor
• Periodic Coherence Peak Height Modulations in Superconducting BSCCO
• Pseudo-gap features of intrinsic tunneling in (HgBr_2)-Bi2212 single crystals
• Analysis of the elementary excitations in high-T_c cuprates: explanation of the new energy scale observed by ARPES
• Collective Modes in High-Temperature Superconductors
• Momentum Distribution Curves in the Superconducting State
• SIN and SIS tunneling in cuprates

Cited by in corpus (17)

• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
• Imaging the impact on cuprate superconductivity of varying the inter-atomic distances within individual crystal unit-cells
• Close relationship between superconductivity and the bosonic mode in Ba0.6K0.4Fe2As2 and Na(Fe0.975Co0.025)As
• Observation of superconducting collective modes from competing pairing instabilities in single-layer NbSe${}_2$
• Imaging the Electron-Boson Coupling in Superconducting FeSe
• Detection of bosonic mode as a signature of magnetic excitation in one unit cell FeSe on SrTiO3
• Holstein polaron in the presence of disorder
• The Impact of an Oxygen Dopant in an ideal Bi-2212 Crystal
• Pairing insights in iron-based superconductors from scanning tunneling microscopy
• Density of States Modulations from Oxygen Phonons in d-wave Superconductors: Reconciling Angle-Resolved Photoemission Spectroscopy and Scanning Tunneling Microscopy
• Mesoscopic gap fluctuations in an unconventional superconductor
• Local quasiparticle lifetimes in a d-wave superconductor
• Boson-Fermion Duality and Metastability in Cuprate Superconductors
• Local dynamical lattice instabilities: Prerequisites for resonant pairing superconductivity
• Renormalization group approach to anisotropic superconductivity
• Boson features in STM spectra of cuprate superconductors: Weak-coupling phenomenology