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

Lisnyi, Bohdan; Strečka, Jozef

doi:10.1016/j.physa.2016.06.088

Cited by 19 publications

(11 citation statements)

References 57 publications

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Section: Introductionmentioning

confidence: 99%

“…so-called frustration phenomenon, such as Delta chain and the triangle structure in azurite and in K 2 MnS 2-x Se x [2,[16][17][18][19]. Because of the energy gap between the ground state and the excited state, the specific heat of the frustrated system usually shows peak in the low temperature, and the magnetic susceptibility is also different from that of antiferromagnetic system without frustration [17][18][19]. If we connect the two ends of the finite antiferromagnetic spin chain with an impurity through antiferromagnetic interaction to form a closed ring, the boundary effect may be eliminated, but it will bring geometric frustration effect when the number of spin is odd.…”

Section: Introductionmentioning

confidence: 99%

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The exact solution of magnetic susceptibility for finite Ising ring with a magnetic impurity

2021

Can. J. Phys.

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We connected the two ends of a finite spin-1/2 antiferromagnetic Ising chain with a magnetic impurity at one end to form a closed ring, and studied the magnetic susceptibility of it exactly by using the transfer matrix method. We calculated the magnetic susceptibility in the whole temperature range and gave the phase diagram at ground state of the system about the anisotropy of the impurity and strength of the connection exchange interaction for spin-1 and 3/2 impurities. We also gave the ground state entropy of system and derived the asymptotic expression of the magnetic susceptibility multiplied by temperature at zero temperature limit and high temperature limit. It is found that degenerate phase may exist in some parameter region at zero temperature for the spin number of system being odd, and the ground state entropy is ln⁡(2) in the nondegenerate phase and is dependent on the number of spin in the degenerate phase. The magnetic susceptibility of the system at low temperature exhibits ferromagnetic behavior, and the Curie constant is related to the spin configuration at ground state. When the ground state is nondegenerate, the Curie constant is equal to the square of the net spin, regardless of the parity of the number of the spin. When the number of spin is odd and the ground state is degenerate, the Curie constant may be related to the total number of spin. In high temperature limit, the magnetic susceptibility multiplied by temperature is related to the spin quantum number of impurity and the number of spin in the ring.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The exact solution of magnetic susceptibility for finite Ising ring with a magnetic impurity

2021

Can. J. Phys.

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“…Lately, different versions of the Ising-Heisenberg diamond chains have provided a useful playground full of intriguing features and unexpected findings such as the existence of intermediate magnetization plateaus [24][25][26], Lyapunov exponent and superstability [27], the non-conserved magnetization and "fire-and-ice" ground states [28], the enhanced magnetocaloric effect [29], the pseudo-critical behavior mimicking a temperature-driven phase transition [30][31][32][33] or the pseudo-universality [34]. Most importantly, Derzhko and co-workers [35] convincingly evidenced that the exact solution for the Ising-Heisenberg diamond chain may be used as a useful starting point for the perturbative treatment of the full Heisenberg counterpart model.…”

Section: Introductionmentioning

confidence: 99%

Magnetoelastic properties of a spin-1/2 Ising-Heisenberg diamond chain in vicinity of a triple coexistence point

Ferreira¹,

Torrico²,

Souza³

et al. 2020

Condens. Matter Phys.

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We study magnetoelastic properties of a spin-1/2 Ising-Heisenberg diamond chain, whose elementary unit cell consists of two decorating Heisenberg spins and one nodal Ising spin. It is assumed that each couple of the decorating atoms including the Heisenberg spins harmonically vibrates perpendicularly to the chain axis, while the nodal atoms involving the Ising spins are placed at rigid positions when ignoring their lattice vibrations. An effect of the magnetoelastic coupling on a ground state and finite-temperature properties is particularly investigated close to a triple coexistence point depending on a spring-stiffness constant ascribed to the Heisenberg interaction. The magnetoelastic nature of the Heisenberg dimers is reflected through a non-null plateau of the entropy emergent in a low-temperature region, whereas the specific heat displays an anomalous peak slightly below the temperature region corresponding to the entropy plateau. The magnetization also exhibits a plateau in the same temperature region at almost saturated value before it gradually tends to zero upon increasing of temperature. The magnetic susceptibility displays within the plateau region an inverse temperature dependence, which slightly drops above this plateau, whereas an inverse temperature dependence is repeatedly recovered at high enough temperatures.

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“…Interestingly, magnetic and thermodynamic properties of several insulating magnetic materials can be dramatically described by one-dimensional Heisenberg spin models. For example, Ising-Heisenberg spin models provide a reasonable quantitative description of the thermal and magnetic behaviors associated with the materials with ordered structures in the real world [27][28][29], diamond chains [30][31][32][33][34][35], magnetic spin ladders [36][37][38][39] are a class of low-dimensional magnetic materials.…”

Section: Introductionmentioning

confidence: 99%

Electrocaloric effect in the two spin-1/2 XXZ Heisenberg edge-shared tetrahedra and spin-1/2 XXZ Heisenberg octahedron with Dzyaloshinskii-Moriya interaction

Zad,

Sabeti,

Zoshki

et al. 2019

Preprint

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In the present paper, we consider two species of small spin clusters known as; two spin-1/2 Heisenberg edge-shared tetrahedra and spin-1/2 Heisenberg octahedron with the corresponding Dzyaloshinskii-Moriya terms in a longitudinal magnetic field, then we examine magnetization process and electric polarization of the models as functions of magnetic and electric fields at Low temperature using exact numerical diagonalization. Our exact results are in a good agreement with recent analysis carried out by J. Strečka and K. Kar ľová [1,2]. It is demonstrated that the polarization behavior coincides the magnetization curves (including sequential intermediate plateaus), also it reflects the respective stepwise changes of ground-state phase transitions. We find that the polarization has significant effects on the magnetic field dependencies of the magnetization. Furthermore, we investigate other isothermal strategies such as cooling rate, magnetocaloric effect (MCE), as well as, electrocaloric effect(ECE) for both models. Since, new electrocaloric materials with high performance is of great interest and importance in condensed matter physics, here, we report on the ECE of the both aforedescribed spin-1/2 Heisenberg small

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

Cited by 19 publications

References 57 publications

The exact solution of magnetic susceptibility for finite Ising ring with a magnetic impurity

The exact solution of magnetic susceptibility for finite Ising ring with a magnetic impurity

Magnetoelastic properties of a spin-1/2 Ising-Heisenberg diamond chain in vicinity of a triple coexistence point

Electrocaloric effect in the two spin-1/2 XXZ Heisenberg edge-shared tetrahedra and spin-1/2 XXZ Heisenberg octahedron with Dzyaloshinskii-Moriya interaction

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