Magnetic behavior of a spin-1 dimer: model system for homodinuclear nickel(II) complexes

Strečka, Jozef; Jaščur, M.; Hagiwara, Masayuki; Narumi, Yasuo; Kuchár, Juraj; Kimura, Shojiro; Kindo, Koichi

doi:10.1016/j.jpcs.2005.09.089

Cited by 23 publications

(32 citation statements)

References 75 publications

(23 reference statements)

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“…Intermediate magnetization plateaux were predicted for the Ising spin clusters with the shape of Platonic solids [9], 'star of David' [10] or tetrahedra-based Ising clusters [11], while the magnetization curve of Heisenberg spin clusters was studied with the shape of triangle [12], tetrahedron [13], truncated tetrahedron [14,15], cuboctahedron [16,17], icosidodecahedron [16] and many more [18][19][20][21][22][23]. It is noteworthy that besides the theoretical predictions, the magnetization plateaux were indeed observed in experimental representatives of molecular magnets, for example for linear trimer compound A 3 Cu(PO 4 ) 4 [24], cubane-based compounds [25], or homodinuclear nickel complexes [26,27].…”

Section: Introductionmentioning

confidence: 90%

Spin-1/2 XXZ Heisenberg cupolae: magnetization process and related enhanced magnetocaloric effect

Karľová¹

2020

Condens. Matter Phys.

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The magnetization curves and magnetocaloric effect during the adiabatic demagnetization of antiferromagnetic spin-1/2 XXZ Heisenberg clusters with the shape of Johnson's solids (triangular cupola, square cupola and pentagonal cupola) are investigated using the exact numerical diagonalization for different values of the exchange anisotropy ranging in between the Ising and fully isotropic limit. It is demonstrated that spin-1/2 XXZ Heisenberg cupolae display, in comparison with their Ising counterparts, at least one more magnetization plateau. The novel magnetization plateaux extends over a wider range of the magnetic fields with increasing of a quantum part of the XXZ exchange coupling at the expense of the original plateaux present in the limiting Ising case. It is shown that the spin-1/2 XXZ Heisenberg triangular and pentagonal cupolae exhibit an enhanced magnetocaloric effect in the vicinity of zero magnetic field, which makes these magnetic systems promising refrigerants for cooling down to ultra-low zero temperatures.

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Section: Introductionmentioning

confidence: 90%

Spin-1/2 XXZ Heisenberg cupolae: magnetization process and related enhanced magnetocaloric effect

Karľová¹

2020

Condens. Matter Phys.

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“…Finally, the Zeeman’s term

accounts for the effect of the external magnetic field B (

is the Bohr magneton and g is the Landé g -factor). The energy eigenvalues, eigenvectors and basic magnetic properties of the spin-1 Heisenberg dimer given by the Hamiltonian ( 1 ) were exactly calculated and comprehensively discussed in reference [ 51 ], to which readers interested in further details are referred to. For completeness, the eigenvalues and eigenvectors of the Hamiltonian ( 1 ) are listed in Appendix A together with the explicit form of the relevant partition function.…”

Section: Model and Methodsmentioning

confidence: 99%

“…It is noteworthy that the homodinuclear nickel complex [Ni

(Medpt)

(µ-ox)(H

](ClO

)

·2H

O (NAOC) [ 48 ] serves as an experimental realization of the investigated spin-1 Heisenberg dimer. We will also take advantage of the available magnetic data reported previously for the NAOC complex [ 49 , 50 ] and theoretical analysis of the respective coupling constants [ 51 , 52 ] in order to quantify a strength of the bipartite entanglement within this molecular-based magnetic material. In particular, we will clarify on this specific molecular magnetic material robustness of the thermal entanglement of the NAOC complex against temperature and magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Magnetic-Field-Orientation Dependent Thermal Entanglement of a Spin-1 Heisenberg Dimer: The Case Study of Dinuclear Nickel Complex with an Uniaxial Single-Ion Anisotropy

Ghannadan

Strečka

2021

Molecules

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The bipartite entanglement in pure and mixed states of a quantum spin-1 Heisenberg dimer with exchange and uniaxial single-ion anisotropies is quantified through the negativity in a presence of the external magnetic field. At zero temperature the negativity shows a marked stepwise dependence on a magnetic field with two abrupt jumps and plateaus, which can be attributed to the quantum antiferromagnetic and quantum ferrimagnetic ground states. The magnetic-field-driven phase transition between the quantum antiferromagnetic and quantum ferrimagnetic ground states manifests itself at nonzero temperatures by a local minimum of the negativity, which is followed by a peculiar field-induced rise of the negativity observable in a range of moderately strong magnetic fields. The rising temperature generally smears out abrupt jumps and plateaus of the negativity, which cannot be distinguished in the relevant dependencies above a certain temperature. It is shown that the thermal entanglement is most persistent against rising temperature at the magnetic field, for which an energy gap between a ground state and a first excited state is highest. Besides, temperature variations of the negativity of the spin-1 Heisenberg dimer with an easy-axis single-ion anisotropy may exhibit a singular point-kink, at which the negativity has discontinuity in its first derivative. The homodinuclear nickel complex [Ni2(Medpt)2(μ-ox)(H2O)2](ClO4)2·2H2O provides a suitable experimental platform of the antiferromagnetic spin-1 Heisenberg dimer, which allowed us to estimate a strength of the bipartite entanglement between two exchange-coupled Ni2+ magnetic ions on the grounds of the interaction constants reported previously from the fitting procedure of the magnetization data. It is verified that the negativity of this dinuclear compound is highly magnetic-field-orientation dependent due to presence of a relatively strong uniaxial single-ion anisotropy.

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“…(9) for the sake of compactness. It is quite evident that the Hamiltonians H (0) 2i of the vertical dimers (8) are already diagonal in the dimer representation, while the Hamiltonians H (0) 2i+1 of the horizontal dimers (9) can be diagonalized by a unitary transformation:…”

Section: -51mentioning

confidence: 99%

“…(C2)). Using this procedure, the total Hamiltonian (2) of the spin-1/2 Ising-Heisenberg orthogonal-dimer chain has been put into a fully diagonal form and the ground state of the model can be easily found by minimizing a sum of its local diagonal parts (8) and (12) (see also Ref. 42).…”

Section: -51mentioning

confidence: 99%

Fractional magnetization plateaus of the spin-12Heisenberg orthogonal-dimer chain: Strong-coupling approach developed from the exactly solved Ising-Heisenberg model

Verkholyak

Strečka

2016

Phys. Rev. B

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The spin-1/2 Heisenberg orthogonal-dimer chain is considered within the perturbative strongcoupling approach, which is developed from the exactly solved spin-1/2 Ising-Heisenberg orthogonaldimer chain with the Heisenberg intradimer and the Ising interdimer couplings. Although the spin-1/2 Ising-Heisenberg orthogonal-dimer chain exhibits just intermediate plateaux at zero, onequarter and one-half of the saturation magnetization, the perturbative treatment up to second order stemming from this exactly solvable model additionally corroborates the fractional one-third plateau as well as the gapless Luttinger spin-liquid phase. It is evidenced that the approximate results obtained from the strong-coupling approach are in an excellent agreement with the stateof-the-art numerical data obtained for the spin-1/2 Heisenberg orthogonal-dimer chain within the exact diagonalization and density-matrix renormalization group method. The nature of individual quantum ground states is comprehensively studied within the developed perturbation theory.

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Magnetic behavior of a spin-1 dimer: model system for homodinuclear nickel(II) complexes

Cited by 23 publications

References 75 publications

Spin-1/2 XXZ Heisenberg cupolae: magnetization process and related enhanced magnetocaloric effect

Spin-1/2 XXZ Heisenberg cupolae: magnetization process and related enhanced magnetocaloric effect

Magnetic-Field-Orientation Dependent Thermal Entanglement of a Spin-1 Heisenberg Dimer: The Case Study of Dinuclear Nickel Complex with an Uniaxial Single-Ion Anisotropy

Fractional magnetization plateaus of the spin-12Heisenberg orthogonal-dimer chain: Strong-coupling approach developed from the exactly solved Ising-Heisenberg model

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