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Exact Solutions on the Ground States of Ising Models in Magnetic Fields with Frustration on a Diamond Hierarchical Lattice
Yuhei Hirose, Akihide Oguchi, Yoshiyuki Fukumoto
Magnetization processes of Ising models with frustration on diamond hierarchical lattices, which contain vertices with high coordination numbers, are exactly obtained at zero tempe…
Infinitely Multiple Steps in Magnetization of Ferro- and Antiferromagnetic Ising Models with Frustration on a Diamond Hierarchical Lattice
Yuhei Hirose, Akihide Oguchi, Yoshiyuki Fukumoto
Magnetizations of ferro- and antiferromagnetic Ising models with frustration on diamond hierarchical lattices are exactly obtained at zero temperature. For the zero-field classical…
Ground States of Spin-1/2 Heisenberg Antiferromagnets with Frustration on a Diamond-Like Decorated Square Lattice
Yuhei Hirose, Akihide Oguchi, Yoshiyuki Fukumoto
We study the ground-state phase diagram of a Heisenberg model with spin on a diamond-like decorated square lattice. A diamond unit has two types of antiferromagneti…
Exact Realization of a Quantum-Dimer Model in Heisenberg Antiferromagnets on a Diamond-Like Decorated Lattice
Yuhei Hirose, Akihide Oguchi, Yoshiyuki Fukumoto
We study Heisenberg antiferromagnets on a diamond-like decorated square lattice perturbed by further neighbor couplings. The second-order effective Hamiltonian is calculated and th…