Stripes in the two-dimensional t-J model with infinite projected entangled-pair states

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 ${\rho }_l\sim 0.75-0.8$.

5 pages, 5 figures, minor changes

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• A class of quantum many-body states that can be efficiently simulated
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Accurate determination of tensor network state of quantum lattice models in two dimensions
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• Implementing global Abelian symmetries in projected entangled-pair state algorithms
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• Stability of RVB hole stripes in high-temperature superconductors
• Finite compressibility in the low-doping region of the two-dimensional $t-J$ model

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