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Nanoscale inhomogeneity seems to be a central feature of the d-wavesuperconductivity in the cuprates. Such a feature can strongly affect the localdensity of states (LDOS) and the spectral weight functions. Within theBogoliubov-de Gennes formalism we examine various inhomogeneous configurationsof the superconducting order parameter to see which ones better agree with theexperimental data. Nanoscale large amplitude oscillations in the orderparameter seem to fit the LDOS data for the underdoped cuprates. Theone-particle spectral function for a general inhomogeneous configurationexhibits a coherent peak in the nodal direction. In contrast, the spectralfunction in the antinodal region is easily rendered incoherent by theinhomogeneity. This throws new light on the dichotomy between the nodal andantinodal quasiparticles in the underdoped cuprates.Comment: 5 pages, 9 pictures. Phys. Rev. B (in press

physical review. b, condensed matter and materials physics

Local density of states and angle-resolved photoemission spectral function of an inhomogeneous<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-wave superconductor

Local density of states and angle-resolved photoemission spectral function of an inhomogeneousd-wave superconductor