Abstract
Due to the unfavorable scaling of tensor-network methods with the refinement parameter , new approaches are necessary to improve the efficiency of numerical simulations based on such states, in particular for gapless, strongly entangled systems. In one-dimensional density matrix renormalization group methods, the use of Abelian symmetries has led to large computational gain. In higher-dimensional tensor networks, this is associated with significant technical efforts and additional approximations. We explain a formalism to implement such symmetries in two-dimensional tensor-network states and present benchmark results that confirm the validity of these approximations in the context of projected entangled-pair state algorithms.
- Received 22 October 2010
DOI:https://doi.org/10.1103/PhysRevB.83.125106
©2011 American Physical Society