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ABSTRACT: We simulate the $t$ $J$ model in two dimensions by means of infinite
projected entangled-pair states (iPEPS) generalized to arbitrary unit cells,
finding results similar to those previously obtained by the density-matrix
renormalization group (DMRG) for wide ladders. In particular, we show that
states exhibiting stripes, {\it i.e}. a unidirectional modulation of
hole-density and antiferromagnetic order with a $\pi$-phase shift between
adjacent stripes, have a lower variational energy than uniform phases predicted
by variational and fixed-node Monte Carlo simulations. For a fixed unit-cell
size the energy per hole is minimized for a hole density $\rho_l\sim 0.5$ per
unit length of a stripe. The superconducting order parameter is maximal around
$\rho_l\sim 0.75-0.8$.
04/2011;
