2009/04/30 by Glen Evenbly, G. Evenbly, Guifré Vidal +1 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Boundary value problem #Condensed matter physics #Ferromagnetism #Ground state #Heisenberg model #Lattice (music) #Mathematical analysis #Mathematics #Periodic boundary conditions #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Renormalization #Upper and lower bounds #Valence (chemistry) #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.104.187203
published as Phys. Rev. Lett. 104, 187203 (2010) · 6 pages, 7 figures, RevTeX 4. Revised version with improved numerical results.
openalex publication_date 2010/05/07 · arxiv created 2010/05/11 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Entanglement renormalization techniques are applied to numerically investigate the ground state of the spin-1/2 Heisenberg model on a kagome lattice. Lattices of N=36,144, infinity sites with periodic boundary conditions are considered. For the infinite lattice, the best approximation to the ground state is found to be a valence bond crystal with a 36-site unit cell, compatible with a previous proposal. Its energy per site, E=-0.432 21, is an exact upper bound and is lower than the energy of any previous (gapped or algebraic) spin liquid candidate for the ground state.