# 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…

## 39 Citations

Exactly solved mixed spin-(1,1/2) Ising-Heisenberg diamond chain with a single-ion anisotropy

- Physics
- 2015

Abstract The mixed spin-(1,1/2) Ising–Heisenberg diamond chain with a single-ion anisotropy is exactly solved through the generalized decoration–iteration transformation and the transfer-matrix…

Phase transitions and magnetization of the mixed-spin Ising-Heisenberg double sawtooth frustrated ladder.

- Physics, MedicineJournal of physics. Condensed matter : an Institute of Physics journal
- 2018

It is proven that behaviors of the magnetization and the magnetic susceptibility coincide at low temperature, and a new magnetization plateau is found for this mixed spin-(1,1/2) Ising-Heisenberg model.

Exactly solved mixed spin-(1,1/2) Ising–Heisenberg distorted diamond chain

- Physics
- 2016

The mixed spin-(1,1/2) Ising–Heisenberg model on a distorted diamond chain with the spin-1 nodal atoms and the spin-1/2 interstitial atoms is exactly solved by the transfer-matrix method. An…

Magnetic properties of the spin‐1/2 Ising–Heisenberg diamond chain with the four‐spin interaction

- Physics
- 2013

A symmetric spin-1/2 Ising–Heisenberg diamond chain with the Ising four-spin interaction is exactly solved by means of the generalized decoration-iteration mapping transformation. The ground state,…

Thermal entanglement and sharp specific-heat peak in an exactly solved spin-1/2 Ising-Heisenberg ladder with alternating Ising and Heisenberg inter–leg couplings

- Physics
- 2016

Abstract The spin-1/2 Ising-Heisenberg two-leg ladder accounting for alternating Ising and Heisenberg inter–leg couplings in addition to the Ising intra–leg coupling is rigorously mapped onto to a…

Exact results for a generalized spin-1/2 Ising–Heisenberg diamond chain with the second-neighbor interaction between nodal spins

- Physics
- 2013

The ground state and thermodynamics of a generalized spin-1/2 Ising–Heisenberg diamond chain with the second-neighbor interaction between nodal spins are calculated exactly using the mapping method…

Thermal entanglement in an orthogonal dimer-plaquette chain with alternating Ising-Heisenberg coupling.

- Chemistry, PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2013

This paper explores the entanglement in an orthogonal dimer-plaquette Ising-Heisenberg chain, assembled between plaquette edges, also known as orthogona dimer plaquettes, and discusses the thermodynamic properties such as entropy, where the residual entropy is displayed.

Thermal entanglement in a spin-1/2 Ising-XYZ distorted diamond chain with the second-neighbor interaction between nodal Ising spins

- Physics
- 2017

Abstract We consider a spin-1/2 Ising-XYZ distorted diamond chain with the XYZ interaction between the interstitial Heisenberg dimers, the nearest-neighbor Ising coupling between the nodal and…

Ground-state phase diagram and magnetization process of the exactly solved mixed spin-(1,1/2) Ising diamond chain

- Physics
- 2013

Abstract The ground state and magnetization process of the mixed spin-(1,1/2) Ising diamond chain are exactly solved by employing the generalized decoration–iteration mapping transformation and the…

Total Pairwise Quantum Correlation and Entanglement in a Mixed-Three-Spin Ising-XY Model with Added Dzyaloshinskii—Moriya Interaction under Decoherence

- Physics
- 2016

We investigate the behavior of geometric global quantum discord (GGQD) and concurrence (C) between half-spins of a mixed-three-spin (1/2, 1, 1/2) system with the Ising-XY model for which spins (1,…

## References

SHOWING 1-10 OF 61 REFERENCES

Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain

- Physics, Mathematics
- 2009

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,…

Geometric frustration in the class of exactly solvable Ising–Heisenberg diamond chains

- Physics, Mathematics
- 2006

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 generalized…

Magnetization plateaux in the antiferromagnetic Ising chain with single-ion anisotropy

- Physics
- 2008

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-matrix…

Multisite-interaction Ising model approach to the solid 3He system on a triangular lattice

- Physics
- 2003

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 the…

Exactly solvable Ising-Heisenberg chain with triangular XXZ -Heisenberg plaquettes

- Physics
- 2009

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 is…

Phase diagram of the asymmetric tetrahedral Ising–Heisenberg chain

- Physics
- 2008

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 arranged…

Magnetization plateau in diamond chains with delocalized interstitial spins

- Physics
- 2008

Several low-dimensional magnetic compounds exhibit magnetization plateaus as a result of the interplay between frustration and quantum fluctuations. Here, we investigate the thermodynamic properties…

Exact spin-cluster ground states in a mixed diamond chain

- Physics
- 2009

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 exchange…

Geometric frustration in Ising diamond chains

- Mathematics
- 2008

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 means…

Dysprosium-based experimental representatives of an Ising-Heisenberg chain and a decorated Ising ring

- Physics
- 2010

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 required…