Magnetization Plateau of Classical Ising Model on Shastry-Sutherland Lattice

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.

6 pages, 8 figures

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• Numerical Study of Spin-1/2 XXZ Model on Square Lattice from Tensor Product States
• Phase transitions and thermodynamics of the two-dimensional Ising model on a distorted Kagomé lattice
• Formation of charge and spin ordering in strongly correlated electron systems
• Ashkin-Teller criticality and weak-first-order behavior of phase transition to four-fold degenerate state in two-dimensional frustrated Ising antiferromagnets
• Tensor Renormalization Group: Local Magnetizations, Correlation Functions, and Phase Diagrams of Systems with Quenched Randomness