2009/08/31 by Alessandro Sfondrini, Javier Cerrillo, Norbert Schuch +2 · 2 citations
Mathematics · Physics and Astronomy · #Ansatz #Boundary (topology) #Boundary value problem #Mathematical analysis #Mathematics #Monte Carlo method #Periodic boundary conditions #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum many-body systems #Quantum mechanics #Statistical physics #String (physics) #Theoretical and Computational Physics #Theoretical physics #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevb.81.214426
published as Phys. Rev. B 81, 214426 (2010) · 9 pages, 11 figures; v2: accepted version, Journal-Ref added
openalex publication_date 2010/06/18 · arxiv created 2010/07/07 · arxiv updated 2010/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Simulating frustrated quantum magnets is among the most challenging tasks in computational physics. We apply string-bond states, a recently introduced Ansatz which combines tensor networks with Monte Carlo based methods to the simulation of frustrated quantum systems in both two and three dimensions. We compare our results with existing results for unfrustrated and two-dimensional systems with open boundary conditions and demonstrate that the method applies equally well to the simulation of frustrated systems with periodic boundaries in both two and three dimensions.