Bauer, B.
Corboz, P.
Orus, R.
Troyer, M.
Implementing global Abelian symmetries in projected entangledpair state algorithms
Physical Review B
10.1103/PhysRevB.83.125106
83

Due to the unfavorable scaling of tensornetwork 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 onedimensional density matrix renormalization group methods, the use of Abelian symmetries has led to large computational gain. In higherdimensional tensor networks, this is associated with significant technical efforts and additional approximations. We explain a formalism to implement such symmetries in twodimensional tensornetwork states and present benchmark results that confirm the validity of these approximations in the context of projected entangledpair state algorithms.
Matrix RenormalizationGroup;
3D ClassicalModels;
Spin Chains;
Formulation;
Parameters;
2011