We present a minimal model of a doped Mott insulator that simultaneously su
pports antiferromagnetic stripes and d-wave superconductivity. At the unres
tricted mean-field level, the various phases of the cuprates, including wea
k and strong pseudogap phases, and two different types of superconductivity
in the underdoped and the overdoped regimes, find a natural interpretation
. We argue that on the underdoped side, the superconductor is intrinsically
inhomogeneous - striped nanoscale coexistence of superconductivity and mag
netism - and global phase coherence is achieved through Josephson-like coup
ling of the superconducting stripes. On the overdoped side, the state is ov
erall homogeneous and the superconductivity is of the classical BCS type. (
C) 2001 Elsevier Science B.V. All rights reserved.