Real-space parallel density matrix renormalization group

E. M. Stoudenmire and Steven R. White
Phys. Rev. B 87, 155137 – Published 22 April 2013

Abstract

We demonstrate how to parallelize the density matrix renormalization group (DMRG) algorithm in real space through a straightforward modification of serial DMRG. This makes it possible to apply at least an order of magnitude more computational power to challenging simulations, greatly accelerating investigations of two-dimensional systems and large parameter spaces. We discuss details of the algorithm and present benchmark results including a study of valence-bond-solid order within the square-lattice Q2 model and Néel order within the triangular lattice Heisenberg model. The parallel DMRG algorithm also motivates an alternative canonical form for matrix product states.

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  • Received 19 January 2013

DOI:https://doi.org/10.1103/PhysRevB.87.155137

©2013 American Physical Society

Authors & Affiliations

E. M. Stoudenmire and Steven R. White

  • Department of Physics and Astronomy, University of California, Irvine, California 92697, USA

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Issue

Vol. 87, Iss. 15 — 15 April 2013

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