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Nontrivial Ferrimagnetism of the Heisenberg Model on the Union Jack Strip Lattice
Tokuro Shimokawa,Hiroki Nakano 한국물리학회 2013 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.63 No.3
We study the ground-state properties of the S = 1/2 antiferromagnetic Heisenberg model onthe Union Jack strip lattice by using the exact-diagonalization and density matrix renormalizationgroup methods. We confirm a region of a magnetization state intermediate between the N´eel-likespin liquid state and the conventional ferrimagnetic state of a Lieb-Mattis type. In the intermediatestate, we find that the spontaneous magnetization changes gradually with respect to the strength ofthe inner interaction. In addition, the local magnetization clearly shows an incommensurate modulationwith long-distance periodicity in the intermediate magnetization state. These characteristicbehaviors lead to the conclusion that the intermediate magnetization state is a non-Lieb-Mattisferrimagnetic one. We also discuss the relationship between the ground-state properties of theS = 1/2 antiferromagnetic Heisenberg model on the original Union Jack lattice and those on ourstrip lattice.