Non-conserved magnetization operator and ‘fire-and-ice’ ground states in the Ising-Heisenberg diamond chain

Torrico, J.; Ohanyan, Vadim; Rojas, Onofre

doi:10.1016/j.jmmm.2018.01.044

Cited by 15 publications

(17 citation statements)

References 45 publications

(89 reference statements)

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“…It was confirmed that this striking phenomenon is not in conflict with the OYA criterion (1) and may be a direct result of different Landé g-factors of magnetic particles [39][40][41][42][43], quenched disorder [44][45][46] or doping by itinerant particles [47][48][49][50][51]. In the last case, a change of the particle concentration may allow one to tune the value and position of the magnetization plateau in a controlled way.…”

Section: Introductionmentioning

confidence: 60%

Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain

Gálisová

2017

Phys. Rev. E

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The double-tetrahedral chain in a longitudinal magnetic field, whose nodal lattice sites occupied by the localized Ising spins regularly alternate with triangular plaquettes with the dynamics described by the Hubbard model, is rigorously investigated. It is demonstrated that the uniform change of electron concentration controlled by the chemical potential in a combination with the competition between model parameters and the external magnetic field leads to the formation of one chiral and seven non-chiral phases at the absolute zero temperature. Rational plateaux at onethird and one-half of the saturation magnetization can also be identified in the low-temperature magnetization curves. On the other hand, the gradual electron doping results in eleven different ground-state regions which distinguish from each other by the evolution of the electron distribution during this process. Several doping-dependent magnetization plateaux are observed in the magnetization process as a result of the continuous change of electron content in the model.

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Section: Introductionmentioning

confidence: 60%

Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain

Gálisová

2017

Phys. Rev. E

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“…Consequently, the important feature of the Hamiltonian ( 1) is its the noncommutativity with the magnetization operator. This non-commutativity leads to a non-linear transverse magnetic field dependence of the spectrum of the model and to the phenomena of quasi-plateau in magnetization curve [42]. Regarding this, we here assume that the system under consideration is in the presence of external inhomogeneous magnetic fields as specified in Eq.…”

Section: Modelmentioning

confidence: 99%

Magnetic properties of an antiferromagnetic spin-1/2 XYZ model in the presence of different magnetic fields: finite-size effects of inhomogeneity property

Zad,

Zoshki,

Sabeti

2018

Preprint

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Magnetic and thermodynamic properties of the anisotropic XYZ spin-1/2 finite chain under both homogeneous and inhomogeneous magnetic fields are theoretically studied at low temperature. Using exact diagonalization method (ED), we study the magnetization, magnetic susceptibility and specific heat of the model characterized in terms of the finite correlation length in the presence of three different magnetic fields including longitudinal, transverse and transverse staggered magnetic fields. The magnetization, susceptibility and the specific heat of the model are investigated under two conditions separately: I) when the model is putted in the presence of homogeneous magnetic fields; II) when finite inhomogeneities are considered for all applied magnetic fields in the Hamiltonian. We show that for the finite-size XYZ chains at low temperature, the evident magnetization plateaus gradually convert to their counterpart quasiplateaus when the transverse magnetic field increases. Moreover, the influence of the transverse and staggered transverse magnetic fields, and their corresponding inhomogeneities on the magnetization process, magnetic susceptibility, and specific heat are reported in detail. Our exact results illustrate that by altering the inhomogeneity parameters, magnetization plateaus gradually convert to their counterpart quasi-plateaus. The specific heat manifests Schottky-type maximum, double-peak and triple-peak, as well as, transformation between them by varying considered inhomogeneity parameters in the Hamiltonian.

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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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Non-conserved magnetization operator and ‘fire-and-ice’ ground states in the Ising-Heisenberg diamond chain

Cited by 15 publications

References 45 publications

Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain

Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain

Magnetic properties of an antiferromagnetic spin-1/2 XYZ model in the presence of different magnetic fields: finite-size effects of inhomogeneity property

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

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