TY - EJOUR
DO - 10.1103/PhysRevB.83.125106
AB - Due to the unfavorable scaling of tensor-network methods with the refinement parameter M, 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.
T1 - Implementing global Abelian symmetries in projected entangled-pair state algorithms
DA - 2011
AU - Bauer, B.
AU - Corboz, P.
AU - Orus, R.
AU - Troyer, M.
JF - Physical Review B
SP - -
VL - 83
EP - -
ID - 171600
KW - Matrix Renormalization-Group
KW - 3D Classical-Models
KW - Spin Chains
KW - Formulation
KW - Parameters
ER -