Samarium in Crystal Fields, a Case of Strong <i>J</i>‐Mixing

Wijn, H. W. de; Diepen, A. M. van; Buschow, K.H.J.

doi:10.1002/pssb.2220760102

Cited by 68 publications

(33 citation statements)

References 46 publications

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“…These results complement other analyses that have been performed on the same group of compounds or on particular lanthanide ions [29]; in addition, they pertain to single crystals as well as to powder samples with nanosize of the particles [5, 7; 19, 24]. The present treatment should provoke also a systematic reexamination of the magnetic transition temperatures in the group of OLA.…”

Section: Discussionsupporting

confidence: 82%

Indirect Exchange Interactions in Orthorhombic Lanthanide Aluminates

Petrov

Angelov

2012

Acta Phys. Pol. A

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Magnetic exchange interactions in orthorhombic lanthanide monoaluminates LnAlO3, Ln = SmYb have been determined semiempirically within the Anderson model of exchange in insulators. The constants of magnetic exchange have been evaluated assuming indirect exchange between pairs of nearest Ln 3+ Ln 3+ ions via 4f n → 4f n−1 5d excitation and ionic polarization. The transfer integrals have been approximated by two-centre overlap integrals between four-term analytical 4f n radial wave functions of Ln 3+ ions. The results have been compared with the available experimental Néel temperatures in the same compounds. It has been found that in most cases the indirect exchange interactions present substantial contributions to the energy of the antiferromagnetically ordered state in LnAlO3.

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Section: Discussionsupporting

confidence: 82%

Indirect Exchange Interactions in Orthorhombic Lanthanide Aluminates

Petrov

Angelov

2012

Acta Phys. Pol. A

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“…Crystal field calculations of magnetic properties in rare-earth systems are usually described within the Steven's formalism of operator equivalents [35,36], however these techniques are insufficient for Sm 3+ as they only consider the ground state J-multiplet. Here we use an extension of the Steven's formalism which allows for the inclusion of higher multiplets [19], derived with the algebraic methods of tensor operators.…”

Section: Calculation Proceduresmentioning

confidence: 99%

“…where χ k contain the angular part of the matrix elements, described in Ref. [19] for all the trivalent rare-earth ions. We are then left to determine A 4 r 4 and A 6 r 6 , which can be either treated as adjustable parameters or calculated within, e.g., the point-charge model.…”

Section: Calculation Proceduresmentioning

confidence: 99%

On the ferromagnetic ground state of SmN

2016

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SmN is a ferromagnetic semiconductor with the unusual property of an orbital-dominant magnetic moment that is largely cancelled by an antiparallel spin contribution, resulting in a near-zero net moment. However, there is a basic gap in the understanding of the ferromagnetic ground state, with existing density functional theory calculations providing values of the $4f$ magnetic moments at odds with experimental data. To clarify the situation, we employ an effective $4f$ Hamiltonian incorporating spin-orbit coupling, exchange, the crystal field, and $J$-mixing to calculate the ground state $4f$ moments. Our results are in excellent agreement with experimental data, revealing moderate quenching of both spin and orbital moments to magnitudes of $\sim 2~\mu_B$ in bulk SmN, enhanced to an average of $\sim 3~\mu_B$ in SmN layers within a SmN/GdN superlattice. These calculations provide insight into recent studies of SmN showing that it is an unconventional superconductor at low temperatures and displays twisted magnetization phases in magnetic heterostructures

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“…Amongst the data previously proposed in the literature for the crystal field coefficients in SmCo, (Sankar et al [5], de Wijn et al [6], Boucherle et al [7]), those of de Wijn et al [6] can be markedly better fitted within our one-particle model than the others. Therefrom, we infer that the effective one-particle interatomic forces in SmCo, are of the Born type, in agreement with the general quantum picture of the effect,ive interatomic forces in solids (see Torrens [8] for a comprehensive survey).…”

Section: Introductionmentioning

confidence: 56%

Effective interatomic forces from one‐particle crystal field parameters

Adam¹,

Adam²,

Corciovei³

1982

Physica Status Solidi (b)

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BY8. ADAM3) (a), GH. AD AM^) (a), and A. CORCIOVEI (b) Theoretical results are obtained for the crystal field coefficients which enable us t o develop an approach to the use of the crystal field data for the derivation of information on the effective interatomic forces in crystals. The method is applied to the magnetic SmS+ ion in SmCo,, and it is shown to provide valuable results both for the effective interatomic potential and for the consistency of various sets of crystal field parameters previously proposed in the literature.Des rbsultats sont obtenus pour les coefficients du champ cristallin qui nous permettent de dbvelopper me mbthode pour la dktermination des forces uniparticule dans un cristal en utilisant les donnbes expbrimentales pour le champ cristallin. La mbthode est appliquQ L I'ion magnbtique SmS+ en SmCo,. Elle s'avhre capable de fournir tant des rbsultats pour le potentiel uniparticule effectif que des indications concernant la consistance des divers sets de parambtres du champ cristnllin proposbs antbrieurement dans la IitGrature. IntroductionI n a recent paper [l], which will be quoted henceforth as I, the one-particle crystal field experienced by f electrons of magnetic ions within crystals has been derived under the general assumption of arbitrary (possibly noncentral, as, e.g., in the covalent crystals) effective interatomic forces.I n the present paper, assuming centrul one-particle effective interatomic forces (a hypothesis which is known t o hold, e.g., for metallic systems), we first push the argument of I a step further and derive, in Section 2, more explicit expressions for the coefficients of the crystal field occurring both in cubic and hexagonal compounds. The simplicity of Stevens' standard expression for the crystal field coefficients, A , ( r m ) , (Stevens [2], Hutchings [3], Abragam and Bleaney [4]) is shown to be preserved with, however, the terms of the product specifically renormalized by the non-Coulombian interaction.Then, inverting the argument, we show, in Section 3, that the experimental knowledge of the crystal field coefficients enables us to get valuable insight into the spatial behaviour of the one-particle forces that govern t,he interaction between the magnetic electrons and the crystal lattice within monocrystalline samples.The general procedure of Section 3 is applied, in Section 4, to the magnetic Sm3f ion in SmCo,. Amongst the data previously proposed in the literature for the crystal field coefficients in SmCo, (Sankar et al.

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Samarium in Crystal Fields, a Case of Strong J‐Mixing

Cited by 68 publications

References 46 publications

Indirect Exchange Interactions in Orthorhombic Lanthanide Aluminates

Indirect Exchange Interactions in Orthorhombic Lanthanide Aluminates

On the ferromagnetic ground state of SmN

Effective interatomic forces from one‐particle crystal field parameters

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