Magnetization Plateau of Classical Ising Model on Shastry-Sutherland Lattice
arXiv:0812.0402 · doi:10.1103/PhysRevB.79.104411
Abstract
We study the magnetization for the classical antiferromagnetic Ising model on the Shastry-Sutherland lattice using the tensor renormalization group approach. With this method, one can probe large spin systems with little finite-size effect. For a range of temperature and coupling constant, a single magnetization plateau at one third of the saturation value is found. We investigate the dependence of the plateau width on temperature and on the strength of magnetic frustration. Furthermore, the spin configuration of the plateau state at zero temperature is determined.
arXiv comment6 pages, 8 figures
References in corpus (15)
- Tensor renormalization group approach to 2D classical lattice models
- Criticality, the area law, and the computational power of PEPS
- Classical simulation of quantum many-body systems with a tree tensor network
- The iTEBD algorithm beyond unitary evolution
- Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
- Tensor-entanglement renormalization group approach to 2D quantum systems
- Fractional magnetization plateaus and magnetic order in the Shastry Sutherland magnet TmB4
- Fractalization drives crystalline states in a frustrated spin system
- Theory of magnetization plateaux in the Shastry-Sutherland model
- Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice
- Field dependence of the quantum ground state in the Shastry-Sutherland system SrCu(BO)
- Phases and magnetization process of an anisotropic Shastry-Sutherland model
- NMR evidence for the persistence of spin-superlattice above the 1/8 magnetization plateau in SrCu2(BO3)2
- High-Precision Thermodynamic and Critical Properties from Tensor Renormalization-Group Flows
- Magnetization plateaux in an extended Shastry-Sutherland model
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