Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-06-23
Phys. Rev. Lett. 101, 090603 (2008)
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages 5 figures 2 tables
Scientific paper
10.1103/PhysRevLett.101.090603
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.
Jiang Hong-Chen
Weng Zheng-Yu
Xiang Tao
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