M. METATLA Abboud

Prof

Directory of teachers

Department

Departement of Physics

Research Interests

Magnétisme Moléculaire et Conversion de Spin Mécanique Quantique

Contact Info

University of M'Sila, Algeria

Email : abboud.metatla@univ-msila.dz

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Recent Publications

2024-08-01

Transition metal centers with anharmonic elastic interactions in one-dimensional spin-crossover solids

An exact examination of a one-dimensional (1D) anharmonic elastic model describing the
thermodynamic properties of spin-crossover (SCO) solids is presented. This elastic model
incorporates both intra-chain and mean field inter-chain interactions, providing a more understanding
of 1D SCO materials. Numerical findings for a linear chain of spins unveil intriguing features,
such as a two-step-like transition. Extending the model to interacting chains leads to an additional
term in the effective ligand field of the system’s Hamiltonian, thereby enhancing its predictive power
by accounting for more elastic constants of interactions. This augmentation reinforces the model’s
validity in capturing the spin-crossover phenomenon. Numerical results in this extended framework
elucidate clearer two-step-like spin crossover transitions, with the HS_LS fraction of spins
approaching maximum values at equilibrium temperature Teq.
Citation

M. METATLA Abboud, (2024-08-01), "Transition metal centers with anharmonic elastic interactions in one-dimensional spin-crossover solids", [national] Physica Scripta , IOP

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2023

Cooperativity and clusters properties in ferromagnetic spin transition systems

A Swendsen-Wang cluster Monte Carlo dynamics simulation technique has been used to simulate a 2D-ferromagnetic Ising-type model for spin transition systems. In the purpose to investigate the link between the strength of cooperative interactions and the clusters properties, we shed light on the size and the number of clusters forming the system. Results show that clusters properties in highly cooperative systems are totally different from those in weakly cooperative ones.
Citation

M. METATLA Abboud, (2023), "Cooperativity and clusters properties in ferromagnetic spin transition systems", [international] Physica Scripta , IOPSCIENCE

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2022-01-01

Cluster approach to ferromagnetic Ising-type model for spin-crossover systems

A cluster approach to ferromagnetic Ising-type model for spin-crossover systems is developed via
the ghost bonds method, and exact relations between some thermal quantities and percolation
variables are obtained. Simulations by the Swendsen-Wang cluster MC dynamics for 2D systems
show an agreement between the clusters properties and the thermal quantities.
Citation

M. METATLA Abboud, (2022-01-01), "Cluster approach to ferromagnetic Ising-type model for spin-crossover systems", [national] Chinese Journal of Physics , Elsevier

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2021

Electro-vibrational Ising-type model for spin crossover in binuclear molecules

A spin crossover in binuclear molecule is investigated using an Ising-type model, including the intramolecular
vibrations. The spin transition curve of [Fe(bt)(NCS)2]2bpym complex which presents a two-step transition plateau is well
described by the above model. We show that the equilibrium low-spin/high-spin temperature Teq is independent of the
vibration frequencies of the intermediate state (HS–LS or LS–HS) xLHS. In addition, a large values of LS–LS state
vibration frequencies xLLS lead to an evident two-step transition plateau.
Citation

M. METATLA Abboud, (2021), "Electro-vibrational Ising-type model for spin crossover in binuclear molecules", [national] Indian Journal of Physics , Springer

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2020

CLUSTER MONTE CARLO STUDY OF THE FERROMAGNETIC ISING-LIKE MODEL FOR SPIN CROSSOVER SYSTEMS

A comparison between some thermal quantities (magnetization and susceptibility) of a ferromagnetic Ising-like model obtained by Metropolis and Swendsen-Wang MC dynamics have been given.
The results shows that for a moderate ferromagnetic interactions these quantities are closely identically in the two MC dynamics, for strong ferromagnetic interactions the comparison study is done outside the hysteresis cycle only, this limitation was imposed by the method used in the study (ghost bonds method).
Citation

M. METATLA Abboud, (2020), "CLUSTER MONTE CARLO STUDY OF THE FERROMAGNETIC ISING-LIKE MODEL FOR SPIN CROSSOVER SYSTEMS", [national] La 1ère Conférence Nationale sur la Transition Energétique en Algérie CNTEA1-2020 , Université Mohamed BOUDIAF

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2012

Vibration-driven thermal transition in binuclear spin crossover complexes

An Ising-like model including the effect of intramolecular vibrations is proposed to investigate Fe(II) binuclear spin crossover complexes, especially in the situation where it allows the assessment of the conditions under which cooperative exchange interactions are weak enough to favor a vibration-driven mechanism for the thermal transition. In particular, two spin states (LS-LS, LS-HS or HS-HS where LS and HS stand for low-spin and high-spin respectively) must be quasi-degenerate. Whatever the equi-energy scenario, the effect of molecular vibrations on the groundstate appears in the low temperature region, where a deviation from the low frequency approximation of the standard Ising-like model is observed. Thirteen quasi-equi-energy situations lead to three possible vibronic groundstates at T = 0 K, from which the thermal evolution of the HS fraction presents a similar trend as mononuclear systems. However, binuclear systems permit to generate a HS-LS vibronic groundstate. For this latter case the application of pressure, known to drastically affect the spin transition, is suggested to reveal a two-step behavior according to a LS-LS, HS-LS HS-HS scheme. Intramolecular coupling between the two metallic centres and intermolecular cooperativity few influence the spin transition curves due to a difference of the temperature ranges between the effects of molecular vibrations and spin crossover phenomenon.
Citation

M. METATLA Abboud, (2012), "Vibration-driven thermal transition in binuclear spin crossover complexes", [national] European Physical Journal B , Springer

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1998

Optimized Lower Bound for Four-Body Hamiltonians

Generalizing a method elaborated for three-body systems, we derive a new lower bound on four-body ground-state energies in terms of two-body binding energies in the unequal-mass case. For simple power-law potentials, this bound is compared to variational calculations and is shown to be very close to the exact result. In particular, it gives the exact answer for harmonic interactions.
Citation

M. METATLA Abboud, (1998), "Optimized Lower Bound for Four-Body Hamiltonians", [national] Few-Body Systems , Springer

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