Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-05-20
Physical Review B 80 094403 (2009)
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, 5 figures, 1 table, revised version, accepted in PRB
Scientific paper
An extension of the projected entangled-pair states (PEPS) algorithm to infinite systems, known as the iPEPS algorithm, was recently proposed to compute the ground state of quantum systems on an infinite two-dimensional lattice. Here we investigate a modification of the iPEPS algorithm, where the environment is computed using the corner transfer matrix renormalization group (CTMRG) method, instead of using one-dimensional transfer matrix methods as in the original proposal. We describe a variant of the CTMRG that addresses different directions of the lattice independently, and use it combined with imaginary time evolution to compute the ground state of the two-dimensional quantum Ising model. Near criticality, the modified iPEPS algorithm is seen to provide a better estimation of the order parameter and correlators.
Orus Roman
Vidal Guifre
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