Exact results of an alternating-bond mixed spin-1/2 and spin-1 Ising chain with both longitudinal and transverse single-ion anisotropies

Wu, Hong; Wei, Guozhu; Du, An; Yi, Guang-Yu; Gong, Wei‐Jiang

doi:10.1016/j.jmmm.2010.12.027

Cited by 5 publications

(2 citation statements)

References 26 publications

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“…It is noteworthy that there exist several heterometallic molecular-based compounds with a magnetic structure, which can be properly described as one-dimensional chain of alternating spin-1/2 and spin-1 metal ions. Among the most common examples of the one-dimensional mixed spin-(1/2, 1) chains one could mention • CuNi(EDTA).6H 2 O, [12] • CuNi(pbaOH)(H 2 O) 3 .nH 2 O, [13] • CuNi(pba)(D 2 O) 3 .2D 2 O, [14] • PPh 4 [Ni(pn) 2 ][Fe(CN) 6 ]H 2 O, [15] • {Pr(bet) 2 (H 2 O) 3 Fe(CN) 6 }, [16] • {Ru(acac) 2 (CN) 2 }{Ni(dmphen)(NO 3 )}. [17] Even though the vast majority of aforementioned polymeric compounds should be preferentially regarded as experimental representatives of the mixed-spin quantum Heisenberg chain rather than the mixed-spin Ising chain, it is the authors' hope that our exact analytical results for the mixed spin-(1/2, 1) Ising chain may provide a deeper insight into several important vestiges of real physical behavior and explain some experimental results at least at a qualitative level.…”

Section: Introductionmentioning

confidence: 99%

“…The present work is devoted to an exact study of the mixed spin-(1/2, 1) Ising chain model, which accounts both for the axial zero-field splitting (AZFS) as well as the rhombic zero-field splitting (RZFS) parameter in a presence of the applied longitudinal magnetic field. It is worthy of notice that the special limiting case of this model system in an absence of the external magnetic field has been proposed and exactly solved by Wu et al [4,5,6] using the rigorous procedure based on the Jordan-Wigner transformation [7] (see Refs. [8,9,10] for related works on this subject).…”

Section: Introductionmentioning

confidence: 99%

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Unusual field-induced transitions in exactly solved mixed spin-(1/2, 1) Ising chain with axial and rhombic zero-field splitting parameters

Strečka

Dančo

2011

Physica B: Condensed Matter

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The mixed spin-(1/2, 1) Ising chain with axial and rhombic zero-field splitting parameters in a presence of the longitudinal magnetic field is exactly solved within the framework of decoration-iteration transformation and transfer-matrix method. Our particular emphasis is laid on an investigation of the influence of the rhombic term, which is responsible for an onset of quantum entanglement between two magnetic states S z k = ±1 of the spin-1 atoms. It is shown that the rhombic term gradually destroys a classical ferrimagnetic order in the ground state and simultaneously causes diversity in magnetization curves including intermediate plateau regions, regions with a continuous change in the magnetization as well as several unusual field-induced transitions accompanied with magnetization jumps. Another interesting findings concern with an appearance of the round minimum in the temperature dependence of susceptibility times temperature data, the double-peak zerofield specific heat curves and the enhanced magnetocaloric effect. The temperature dependence of the specific heat with three separate maxima may also be detected when driving the system through the axial and rhombic zero-field splitting parameters close enough to a phase boundary between the ferrimagnetic and disordered states and applying sufficiently small longitudinal magnetic field.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unusual field-induced transitions in exactly solved mixed spin-(1/2, 1) Ising chain with axial and rhombic zero-field splitting parameters

Strečka

Dančo

2011

Physica B: Condensed Matter

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Rigorous studies on boundary effects of a dimerized S=1 Ising chain with single-ion anisotropy

Gong

Wang

et al. 2013

Journal of Magnetism and Magnetic Materials

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Local distributions of the 1D dilute Ising model

Panov

2020

Journal of Magnetism and Magnetic Materials

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The local distributions of the one-dimensional dilute annealed Ising model with charged impurities are studied. Explicit expressions are obtained for the pair distribution functions and correlation lengths, and their low-temperature asymptotic behavior is explored depending on the concentration of impurities. For a more detailed consideration of the ordering processes, we study local distributions. Based on the Markov property of the dilute Ising chain, we obtain an explicit expression for the probability of any finite sequence and find a geometric probability distribution for the lengths of sequences consisting of repeating blocks. An analysis of distributions shows that the critical behavior of the spin correlation length is defined by ferromagnetic or antiferromagnetic sequences, while the critical behavior of the impurity correlation length is defined by the sequences of impurities or by the charge-ordered sequences. For the dilute Ising chain, there are no other repeating sequences whose mean length diverges at zero temperature. While both the spin correlation and the impurity correlation lengths can diverge only at zero temperature, the ordering processes result in a maximum of the specific heat at finite temperature defined by the maximum rate of change of the impurity-spin pairs concentration. A simple approximate equation is found for this temperature. We show that the non-ordered dilute Ising chains correspond to the regular Markov chains, while various orderings generate the irregular Markov chains of different types.

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Exact results of an alternating-bond mixed spin-1/2 and spin-1 Ising chain with both longitudinal and transverse single-ion anisotropies

Cited by 5 publications

References 26 publications

Unusual field-induced transitions in exactly solved mixed spin-(1/2, 1) Ising chain with axial and rhombic zero-field splitting parameters

Unusual field-induced transitions in exactly solved mixed spin-(1/2, 1) Ising chain with axial and rhombic zero-field splitting parameters

Rigorous studies on boundary effects of a dimerized S=1 Ising chain with single-ion anisotropy

Local distributions of the 1D dilute Ising model

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