Density of States of a d-wave Superconductor in the Presence of Strong Impurity Scatterers: a Non Perturbative Result

Abstract

We present a method to compute the density of states induced by N non magnetic impurities in a d-wave superconductor, in the unitary limit of very strong scatering centers. For frequencies very small as compared to the superconducting gap ($\omega \ll {\Delta }_0$) the additional density of states has the leading divergence $\delta \rho (\omega )\simeq n_i/[|2\omega |({\ln }^2|\omega /{\Delta }_0|+(\pi /2{)}^2)]$. This result is non perturbative.

30 pages, 8 figures

References in corpus (11)

• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Impurity-Induced Virtual Bound States in d-Wave Superconductors
• Disorder Effects in Two-Dimensional d-wave Superconductors
• Quasiparticle transport and localization in high-T_c superconductors
• Quasiparticle density of states in dirty high-T_c superconductors
• Non-magnetic impurities in two dimensional superconductors
• Impurity States and the Absence of Quasiparticle Localization in Disordered D-Wave Superconductors
• Impurity-induced moments in underdoped cuprates
• Order from Disorder: Non Magnetic Impurities in the Spin-gap Phase of the Cuprates
• Nonzero Fermi Level Density of States for a Disordered d-Wave Superconductor
• Transitions Between Hall Plateaus and the Dimerization Transition of a Hubbard Chain

Cited by in corpus (30)

• Electron transport in disordered graphene
• Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples
• Long-Range Interaction Between Adatoms in Graphene
• Theory of quantum impurities in spin liquids
• Peierls-type Instability and Tunable Band Gap in Functionalized Graphene
• Fokker-Planck equations and density of states in disordered quantum wires
• Spectral and Transport Properties of d-Wave Superconductors With Strong Impurities
• Single particle excitations in disordered Weyl fluids
• Density of states in graphene with vacancies: midgap power law and frozen multifractality
• Density of states in a two-dimensional chiral metal with vacancies
• Long-range order and low-energy spectrum of diluted 2D quantum AF
• Quantum interference in nested d-wave superconductors: a real-space perspective
• Disordered d-wave superconductors with interactions
• Interacting random Dirac fermions in superconducting cuprates
• Density of states for dirty d-wave superconductors: A unified and dual approach for different types of disorder
• Breakdown of universality in three-dimensional Dirac semimetals with random impurities
• Density of states of a graphene in the presence of strong point defects
• Pairing fluctuation theory of high $T_c$ superconductivity in the presence of nonmagnetic impurities
• Effective pairing theory for strongly correlated d-wave superconductors
• Density of states in d-wave superconductors disordered by extended impurities
• Quasiparticle conductivities in disordered d-wave superconductors
• Impurity States and Indirect Exchange Interaction in Irradiated Graphene
• Pair-breaking effects in the Pseudogap Regime: Application to High Temperature Superconductors
• Quantum Interference Phenomena Between Impurity States in d-wave Superconductors
• Impurity-induced Local Density of States in a D-wave Superconductor Carrying a Supercurrent
• Low-energy quasiparticle excitations in dirty d-wave superconductors and the Bogoliubov-de Gennes kicked rotator
• Quasiparticle Delocalization Induced by Novel Quantum Interference in Disordered d-Wave Superconductors
• Unitary Limit of Spin-orbit scattering in two-dimensional s- and d-wave superconductors
• Quantum interference in dirty d-wave superconductors
• Phase diagram of disordered fermion model on two-dimensional square lattice with $\pi$-flux