2008/06/23 by H. C. Jiang, Z. Y. Weng, T. Xiang · 1 citation
Physics and Astronomy · #cond-mat.str-el #cond-mat.stat-mech #physics.comp-ph #quant-ph
paper · pdf · doi:10.1103/physrevlett.101.090603
published as Phys. Rev. Lett. 101, 090603 (2008) · 4 pages 5 figures 2 tables
arxiv created 2008/06/23 · arxiv updated 2009/12/01
We have proposed a novel numerical method to calculate accurately the physical quantities of the ground state with the tensor-network wave function in two dimensions. We determine the tensor network wavefunction by a projection approach which applies iteratively the Trotter-Suzuki decomposition of the projection operator and the singular value decomposition of matrix. The norm of the wavefunction and the expectation value of a physical observable are evaluated by a coarse grain renormalization group approach. Our method allows a tensor-network wavefunction with a high bond degree of freedom (such as D=8) to be handled accurately and efficiently in the thermodynamic limit. For the Heisenberg model on a honeycomb lattice, our results for the ground state energy and the staggered magnetization agree well with those obtained by the quantum Monte Carlo and other approaches.