Critical behavior of multiferroic hexagonal <i>R</i>MnO<sub>3</sub>

Bahoosh, Safa Golrokh; Wesselinowa, J. M.

doi:10.1002/pssb.201248297

Cited by 6 publications

(11 citation statements)

References 26 publications

(42 reference statements)

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“…Reliable estimates for the experimental β values in other hexagonal manganites are currently not available. A few other experimental results [129][130][131][132], although exist, are claimed to be doubtful [128,132,184]. For instance, β = 0.295 ± 0.008, γ = 0.97 ± 0.05, and ν = 0.45 ± 0.08 were obtained for single-crystal YMnO 3 in reference [132].…”

Section: Experimental Realizationmentioning

confidence: 96%

“…As clearly stated in the same work [132], this β value cannot really be considered as the critical exponent because, the value of T N was refined from the temperaturedependent intensity of magnetic Bragg peak rather than from the divergence of the diffusive intensity at the ordering temperature [185]. In another inelastic neutron scattering experiment on polycrystalline YMnO 3 [131], the estimate β = 0.187 ± 0.002 is also doubtful because, as pointed by Bahoosh et al [184], it was obtained by fitting the intensity data from the noncritical range of temperature. Tachibana et al [130] obtained α = −0.16 whereas Katsufuji et al [129] obtained α ∼ 0.25, both for YMnO 3 .…”

Section: Experimental Realizationmentioning

confidence: 99%

“…It is important here to note that, in another microscopic model [184,186], a bi-quadratic term was incorporated as a relevant coupling term for capturing the critical exponents of hexagonal RMnO 3 . Using Greens function technique, the values of critical exponents β and δ were derived and obtained as β = 0.421 ± 0.006 and γ = 1.280 ± 0.012.…”

Section: Experimental Realizationmentioning

confidence: 99%

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Magnetoelastic coupling and critical behavior of some strongly correlated magnetic systems

Dutta¹

2022

J. Phys.: Condens. Matter

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The strongly correlated magnetic systems are attracting continuous attention in current condensed matter research due to their very compelling physics and promising technological applications. Being a host to charge, spin, and lattice degrees of freedom, such materials exhibit a variety of phases, and investigation of their physical behavior near such a phase transition bears an immense possibility. This review summarizes the recent progress in elucidating the role of magnetoelastic coupling on the critical behavior of some technologically important class of strongly correlated magnetic systems such as perovskite magnetites, uranium ferromagnetic superconductors, and multiferroic hexagonal manganites. It begins with encapsulation of various experimental findings and then proceeds toward describing how such experiments motivate theories within the Ginzburg-Landau phenomenological picture in order to capture the physics near a magnetic phase transition of such systems. The theoretical results that are obtained by implementing Wilson's renormalization-group to nonlocal Ginzburg-Landau model Hamiltonians are also highlighted. A list of possible experimental realizations of the coupled model Hamiltonians elucidates the importance of spin-lattice coupling near a critical point of strongly correlated magnetic systems.

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Section: Experimental Realizationmentioning

confidence: 96%

Section: Experimental Realizationmentioning

confidence: 99%

Section: Experimental Realizationmentioning

confidence: 99%

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Magnetoelastic coupling and critical behavior of some strongly correlated magnetic systems

Dutta¹

2022

J. Phys.: Condens. Matter

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“…[ 4,14,15 ] Considering the fascinating nature of the Y–Ni system, it is essential to investigate the nature of the magnetic phase transition occurring at

T_{normalC}

. We have presented an analysis of the critical behaviour near

T_{normalC}

[ 16–22 ] for the

x = 0.5

sample. The scaling hypothesis postulates that a second‐order magnetic phase transition near

T_{normalC}

is characterized by a set of critical exponents, namely, β , γ , and δ , which are respectively associated with the spontaneous magnetization (

M_{normalS}

), initial susceptibility (

χ_{0} = \lim_{H \to 0} M / H

), and magnetization isotherm (

M - H

).…”

Section: Critical Analysismentioning

confidence: 99%

The Emergence of an Itinerant Ferromagnetic State in Co‐Doped YNi₅: A Critical Behavior Study of the Phase Transition

Karmakar

Giri

Majumdar

2020

Physica Status Solidi (b)

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YNi5 is an enhanced Pauli paramagnetic material, and this work is devoted to the effect of Co doping at the Ni site of YNi5. It is found that at 10% Co doping, the sample turns ferromagnetic, with a weak itinerant character. The critical behaviours of the 10% Co‐doped sample (i.e., YNi4.5CO0.5) in its polycrystalline form are examined through bulk magnetization measurements. The second‐order phase transition from the paramagnetic to the ferromagnetic state is confirmed by the positive slope of the Arrott plots. To obtain the most reliable values of the critical exponents, an extensive analysis of the magnetization data is performed, which includes a modified Arrott plot, Kouvel–Fisher plot, and critical isotherm analysis. The best values of the exponent obtained are β = 0.179 (±0.002), γ = 1.429 (±0.002), and TC = 9.1 K. These values are close to a 2D Ising model along with the long‐range exchange decaying as J(r) ≈ r−(3.6). It is found that this extended exchange is a typical characteristic of many itinerant ferromagnets, whereas the 2D nature is likely to be connected with the layered crystal structure.

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“…[23] The magnetic and electric static and dynamic properties of hexagonal multiferroic RMnO 3 were studied based on the transverse Ising and Heisenberg models. [24] In a recent work, [25] Landau's theory for the phase transitions of the second kind was utilized to study the electric orders in a FE-ferromagnetic (FM) system. However, this theory was applicable to the case that the temperature is very close to the transition point.…”

Section: Introductionmentioning

confidence: 99%

Theoretical study of mutual control mechanism between magnetization and polarization in multiferroic materials

2015

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The mutual control mechanism between magnetization and polarization in multiferroic materials is studied. The system contains a ferromagnetic sublattice and a ferroelectric sublattice. To describe the magneto-electric coupling, we propose a linear coupling Hamiltonian between ferromagnetism and ferroelectricity without microscopic derivation. This coupling enables one to retrieve the hysteresis loops measured experimentally. The thermodynamic properties of the system are calculated, such as the temperature dependences of the magnetization, polarization, internal energy and free energy. The ferromagnetic and ferroelectric hysteresis loops driven by either a magnetic or an electric field are calculated, and the magnetic spin and pseudo-spin are always flipped synchronously under the external magnetic and electric field. Our theoretical results are in agreement with the experiments.

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Critical behavior of multiferroic hexagonal RMnO₃

Cited by 6 publications

References 26 publications

Magnetoelastic coupling and critical behavior of some strongly correlated magnetic systems

Magnetoelastic coupling and critical behavior of some strongly correlated magnetic systems

The Emergence of an Itinerant Ferromagnetic State in Co‐Doped YNi₅: A Critical Behavior Study of the Phase Transition

Theoretical study of mutual control mechanism between magnetization and polarization in multiferroic materials

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Critical behavior of multiferroic hexagonal RMnO3

Cited by 6 publications

References 26 publications

Magnetoelastic coupling and critical behavior of some strongly correlated magnetic systems

Magnetoelastic coupling and critical behavior of some strongly correlated magnetic systems

The Emergence of an Itinerant Ferromagnetic State in Co‐Doped YNi5: A Critical Behavior Study of the Phase Transition

Theoretical study of mutual control mechanism between magnetization and polarization in multiferroic materials

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Product

Resources

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Critical behavior of multiferroic hexagonal RMnO₃

The Emergence of an Itinerant Ferromagnetic State in Co‐Doped YNi₅: A Critical Behavior Study of the Phase Transition