XXZ-Ising model on the triangular kagome lattice with spin-1 on the decorated trimers
arXiv:1712.00876 · doi:10.1103/PhysRevE.98.012127
Abstract
We consider the triangular kagome XXZ-Ising model (TKL XXZ-Ising model) formed by inserting small triangles ("a-trimers") with XXZ spin-1 inside the triangles of the kagome lattice ("b-trimers"). It is a novel mixed spin system and can be solved exactly by transforming into the kagome lattice with the general transformation method for decorated spin systems. In the absence of an external field, we integrate out the quantum spins of the a-trimers and map the TKL model to the kagome Ising model exactly. We obtain the full phase diagram and their zero-temperature entropies (e.g. per unit cell is given for the phase with the maximum entropy). When an external field is applied, 20 phases are found due to the quantum fluctuations of a-trimers. Moreover, the high spins in the a-trimers can lead to a stable quantized growth of the magnetization process in the Heisenberg limit.
References in corpus (11)
- Quantum Phase Diagram of the Triangular-Lattice XXZ Model in a Magnetic Field
- Theory of the [111] magnetization plateau in spin ice
- Exactly solvable Ising--Heisenberg chain with triangular XXZ-Heisenberg plaquettes
- Exact solution of the geometrically frustrated spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice
- XXZ and Ising Spins on the Triangular Kagome Lattice
- Thermodynamics of Ising spins on the Triangular Kagome Lattice: Exact analytical method and Monte Carlo simulations
- Magnetization plateaus of an exactly solvable spin-1 Ising-Heisenberg diamond chain
- Magnetic properties of the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
- Kagome-Triangular Lattice Antiferromagnet NaBa2Mn3F11
- Dimers on the Triangular Kagome Lattice
- Order-from-disorder effect in the exactly solved mixed spin-(1/2, 1) Ising model on fully frustrated triangles-in-triangles lattices