Local Density of States and Angle-Resolved Photoemission Spectral Function of an Inhomogeneous D-wave Superconductor

Abstract

Nanoscale inhomogeneity seems to be a central feature of the d-wave superconductivity in the cuprates. Such a feature can strongly affect the local density of states (LDOS) and the spectral weight functions. Within the Bogoliubov-de Gennes formalism we examine various inhomogeneous configurations of the superconducting order parameter to see which ones better agree with the experimental data. Nanoscale large amplitude oscillations in the order parameter seem to fit the LDOS data for the underdoped cuprates. The one-particle spectral function for a general inhomogeneous configuration exhibits a coherent peak in the nodal direction. In contrast, the spectral function in the antinodal region is easily rendered incoherent by the inhomogeneity. This throws new light on the dichotomy between the nodal and antinodal quasiparticles in the underdoped cuprates.

arXiv comment5 pages, 9 pictures. Phys. Rev. B (in press)

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• Fourier transform spectroscopy of d-wave quasiparticles in the presence of atomic scale pairing disorder
• Spectral signatures of modulated d-wave superconducting phases
• Correlating off-stoichiometric doping with nanoscale electronic disorder and quasiparticle interference pattern in high-$T_c$ superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Extinction of quasiparticle interference in underdoped cuprates with coexisting order
• Spectral Weights, d-wave Pairing Amplitudes, and Particle-hole Tunneling Asymmetry of a Strongly Correlated Superconductor
• Single-Particle Density of States of a Superconductor with a Spatially Varying Gap and Phase Fluctuations
• Effects of inhomogeneities and thermal fluctuations on the spectral function of a model d-wave superconductor
• Coulomb Interaction-induced Checkerboard Patterns in Disordered Cuprates
• Inhomogeneous D-Wave Superconductivity and Antiferromagnetism in a Two-Dimensional Extended Hubbard Model with Nearest-Neighbor Attractive Interaction