We study the ground state of the S=12 Heisenberg model on the checkerboard lattice in a magnetic field by the density matrix renormalization group method with the sine-square deformation. We obtain magnetization plateaus at M/Msat=0,14,38,12, and 34, where Msat is the saturated magnetization. The obtained 34 plateau state is consistent with the exact result, and the 12 plateau is found to have a four-spin resonating loop structure similar to the six-spin loop structure of the 13 plateau of the kagome lattice. Different four-spin loop structures are obtained in the 14 and 38 plateaus but no corresponding states exist in the kagome lattice. The 38 plateau has a unique magnetic structure of three types of four-spin local quantum states in a 42×22 magnetic unit cell with a 16-fold degeneracy.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics