Yasuhiro Hieida et al 1999 New J. Phys. 1 7 doi:10.1088/1367-2630/1/1/007
Numerical renormalization approach to two-dimensional quantum antiferromagnets with valence-bond-solid type ground state
Yasuhiro Hieida, Kouichi Okunishi and Yasuhiro Akutsu
Show affiliationsWe study the ground-state properties of two-dimensional quantum spin systems having the valence-bond-solid (VBS) type ground states. The `product-of-tensors' form of the ground-state wavefunction of the system is utilized to associate it with an equivalent classical lattice statistical model which can be treated by the transfer-matrix method. For diagonalization of the transfer matrix, we employ the product-wavefunction renormalization group method, which is a variant of the density-matrix renormalization group method. We obtain the correlation length and the sublattice magnetization accurately. For the anisotropically `deformed' S = 3/2 VBS model on the honeycomb lattice, we find that the correlation length as a function of the deformation parameter behaves very much as that in the S = 3/2 VBS chain.
- PACS
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
64.60.F- Equilibrium properties near critical points, critical exponents
64.60.Cn Order–disorder transformations
64.60.A- Specific approaches applied to studies of phase transitions
- MSC
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82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
- Dates
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Issue 1 (April 1999)
Received 18 January 1999
Published 22 April 1999
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Numerical renormalization approach to two-dimensional quantum antiferromagnets with valence-bond-solid type ground state
Yasuhiro Hieida et al 1999 New J. Phys. 1 7
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