Exactly solvable mixed-spin Ising-Heisenberg diamond chain with biquadratic interactions and single-ion anisotropy

@article{Rojas2011ExactlySM,
  title={Exactly solvable mixed-spin Ising-Heisenberg diamond chain with biquadratic interactions and single-ion anisotropy},
  author={Onofre Rojas and Sergio Martins de Souza and Vadim Ohanyan and Martiros Khurshudyan},
  journal={Physical Review B},
  year={2011},
  volume={83}
}
An exactly solvable variant of mixed spin-(1/2,1) Ising-Heisenberg diamond chain is considered. Vertical spin-1 dimers are taken as quantum ones with Heisenberg bilinear and biquadratic interactions and with single-ion anisotropy, while all interactions between spin-1 and spin-1/2 residing on the intermediate sites are taken in the Ising form. The detailed analysis of the $T=0$ ground state phase diagram is presented. The phase diagrams have shown to be rather rich, demonstrating large variety… Expand

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References

SHOWING 1-10 OF 61 REFERENCES
Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain
The geometric frustration in a class of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains is investigated by combining three exact analytical techniques: Kambe projection method,Expand
Geometric frustration in the class of exactly solvable Ising–Heisenberg diamond chains
Ground-state and finite-temperature properties of the mixed spin- and spin-S Ising–Heisenberg diamond chains are examined within an exact analytical approach based on the generalizedExpand
Magnetization plateaux in the antiferromagnetic Ising chain with single-ion anisotropy
Abstract Two one-dimensional spin-1 antiferromagnetic Ising models with a single-ion anisotropy under external magnetic field at low temperatures are exactly investigated by the transfer-matrixExpand
Multisite-interaction Ising model approach to the solid 3He system on a triangular lattice
We consider the Ising model with multiple-spin interactions on a recursive lattice of special type (the Bethe lattice of square plaquettes with additional inner link) as some approximation to theExpand
Exactly solvable Ising-Heisenberg chain with triangular XXZ -Heisenberg plaquettes
A mixed Ising-Heisenberg spin system consisting of triangular XXZ-Heisenberg spin clusters assembled into a chain by alternating with Ising spins interacting to all three spins in the triangle isExpand
Phase diagram of the asymmetric tetrahedral Ising–Heisenberg chain
The asymmetric tetrahedron is composed by all edges of tetrahedron represented by Ising interaction except one, which has a Heisenberg type interaction. This asymmetric tetrahedron is arrangedExpand
Magnetization plateau in diamond chains with delocalized interstitial spins
Several low-dimensional magnetic compounds exhibit magnetization plateaus as a result of the interplay between frustration and quantum fluctuations. Here, we investigate the thermodynamic propertiesExpand
Exact spin-cluster ground states in a mixed diamond chain
The mixed diamond chain is a frustrated Heisenberg chain composed of successive diamond-shaped units with two kinds of spins of magnitudes S and S/2 (S: integer). Ratio $lambda$ of two exchangeExpand
Geometric frustration in Ising diamond chains
Geometrically frustrated spin models with competing interaction parameters and the phase diagram of their corresponding T=0 ground state energies are studied. The partition function defined by meansExpand
Dysprosium-based experimental representatives of an Ising-Heisenberg chain and a decorated Ising ring
It is shown that the bond-decorated Ising model is a realistic model for certain real magnetic compounds containing lanthanide ions. The lanthanide ion plays the role of Ising spin. The requiredExpand
...
1
2
3
4
5
...