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The crystal field parameters are determined from first-principles calculations in the [An<sup>III</sup>(DPA)<sub>3</sub>]<sup>3-</sup> series, completing previous work on the [Ln<sup>III</sup>(DPA)<sub>3</sub>]<sup>3-</sup> and [An<sup>IV</sup>(DPA)<sub>3</sub>]<sup>2-</sup> series. The crystal field strength parameter follows the Ln(III) &lt; An(III) &lt; An(IV) trend. The parameters deduced at the orbital level decrease along the series, while J-mixing strongly impacts the many-electron parameters, especially for the Pu(III) complex. We further compile the available data for the three series. In some aspects, An(III) complexes are closer to Ln(III) than to An(IV) complexes with regard to the geometrical structure and bonding descriptors. At the beginning of the series, up to Pu(III), there is a quantitative departure from the free ion, especially for the Pa(III) complex. The magnetic properties of the actinides keep the trends of the lanthanides; in particular, the axial magnetic susceptibility follows Bleaney’s theory qualitatively.

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With a lateral bisnaphtho-extended chemical structure, finite 7–13 carbon atom wide armchair graphene nanoribbons (7–13-aGNRs) were on-surface synthesized. For all lengths up to N = 7 monomer units, low-temperature ultrahigh vacuum scanning tunneling spectroscopy and spatial dI/dV maps were recorded at each captured tunneling resonance. The degeneracy of the two central electronic end states (ESs) occurs in a slowly decaying regime with N converging toward zero for N = 6 long 7–13-aGNR (12 bonded anthracenes), while it is N = 2 (4 bonded anthracenes) for seven carbon atoms wide armchair GNRs (7-aGNRs). The two end dI/dV conductance maxima of ESs are also shifted away from strictly two ends of the 7–13-aGNR compared to the 7-aGNR. Using the quantum topology graph filiation between finite length polyacetylene and 7–13-aGNRs wires, we show that this slow decay of 7–13-aGNR ESs is coming from the property of the topological Hückel band matrix that expels the ESs into its eigenvalue spectrum gaps to keep harmony in the core spectrum.

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This article follows earlier studies on the physical origin of magnetic anisotropy and the means of controlling it in polynuclear transition metal complexes. The difficulties encountered when focusing a magnetic field on a molecular object have led to consider the electric field as a more appropriate control tool. It is therefore fundamental to understand what governs the sensitivity of magnetic properties to the application of an electric field. We have already studied the impact of the electric field on the isotropic exchange coupling and on the Dzyaloshinskii–Moriya interaction (DMI). Here, we focus on the symmetric exchange anisotropy tensor. In order to obtain significant values of anisotropic interactions, we have carried out this study on a model complex that exhibits first-order spin–orbit coupling. We will show that (i) large values of the axial parameter of symmetric exchange can be reached when close to the first-order spin–orbit coupling regime, (ii) both correlated energies and wave functions must be used to achieve accurate values of the symmetric tensor components when the DMI is non-zero, and (iii) finally, an interferential effect between the DMI and the axial parameter of symmetric exchange occurs for a certain orientation of the electric field, i.e., the latter decreases in magnitude as the former increases. While DMI is often invoked as being involved in magneto-electric coupling, isotropic exchange and the symmetrical anisotropic tensor also contribute. Finally, we provide a recipe for generating significant anisotropic interactions and a significant change in magnetic properties under an electric field.

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Actinide +IV complexes with six nitrates [AnIV(NO3)6]2− (An = Th, U, Np, and Pu) have been studied by 15N and 17O NMR spectroscopy in solution and first-principles calculations. Magnetic susceptibilities were evaluated experimentally using the Evans method and are in good agreement with the ab initio values. The evolution in the series of the crystal field parameters deduced from ab initio calculations is discussed. The NMR paramagnetic shifts are analyzed based on ab initio calculations. Because the cubic symmetry of the complex quenches the dipolar contribution, they are only of Fermi contact origin. They are evaluated from first-principles based on a complete active space/density functional theory (DFT) strategy, in good accordance with the experimental one. The ligand hyperfine coupling constants are deduced from paramagnetic shifts and calculated using unrestricted DFT. The latter are decomposed in terms of the contribution of molecular orbitals. It highlights two pathways for the delocalization of the spin density from the metallic open-shell 5f orbitals to the NMR active nuclei, either through the valence 5f hybridized with 6d to the valence 2p molecular orbitals of the ligands, or by spin polarization of the metallic 6p orbitals which interact with the 2s-based molecular orbitals of the ligands.

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We study the random transverse field Ising model on a finite Cayley tree. This enables us to probe key questions arising in other important disordered quantum systems, in particular the Anderson transition and the problem of dirty bosons on the Cayley tree, or the emergence of non-ergodic properties in such systems. We numerically investigate this problem building on the cavity mean-field method complemented by state-of-the art finite-size scaling analysis. Our numerics agree very well with analytical results based on an analogy with the traveling wave problem of a branching random walk in the presence of an absorbing wall. Critical properties and finite-size corrections for the zero-temperature paramagnetic-ferromagnetic transition are studied both for constant and algebraically vanishing boundary conditions. In the later case, we reveal a regime which is reminiscent of the non-ergodic delocalized phase observed in other systems, thus shedding some light on critical issues in the context of disordered quantum systems, such as Anderson transitions, the many-body localization or disordered bosons in infinite dimensions.

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Sujets

HIGH-SPIN Magnetic anisotropy Iridates DOTA ligand Crystal field parameters Electronic structure Bleaney's model Heavy fermions Magneto-resistive effects Décontamination de spin Electron paramagnetic resonance Configuration interactions Magnétisme dans les systèmes organiques CLUSTERS Dzyaloshinskii–Moriya interaction Modeling FOS Physical sciences Anderson mechanism Electronic correlation Magnetism in organic systems Model Hamiltonians Density functional theory Lanthanide MOLCAS calculations Hamiltonien modèle Exact diagonalization Bleaney's theory Exchange and superexchange interactions Effective Hamiltonian theory Actinide Model Hamiltonian derivation Isotropic and anisotropic exchange Hyperfine coupling Excitation energies Binuclear compounds Configuration interaction Imidazolium salt Ground states Spin-orbit coupling Ab initio calculation Magnetism Basis sets Magnetic properties Ab initio calculations Electron spin Calcul ab initio MECHANISM Effets magnéto-résistifs Excited states Modèle de Bleaney Divalent cobalt Anisotropy MACROCYCLIC POLYARYLMETHYL POLYRADICALS Electron g-factor Finite nucleus effects Covalency Relativistic corrections Spin-orbit interactions Cooperative effect Magnetic susceptibility Diagonalisations exactes Hyperfine structure Determinants Lanthanides MOLECULAR MAGNETIC-MATERIALS Ligand-field theory Luminescence Wave functions High pressure Manganites Correlated relativistic ab initio calculations Crystal field theory Ionic liquid Magnetic Susceptibility Double exchange model NMR Disordered Systems and Neural Networks cond-matdis-nn Metal-insulator transition Model hamiltonian Crystal-field theory and spin Hamiltonians Anisotropie magnétique Heptacoordination Magnétisme moléculaire Complexes de métaux de transition Dynamical mean field theory Dzyaloshinskii-Moriya interaction Actinides Electron paramagnetism Coupled cluster calculations Calculs ab initio relativistes et corrélés Iodine Free radicals Déplacements chimiques paramagnétiques Dynamical mean-field theory Iridate Perturbation theory AB-INITIO First-order spin–orbit coupling Calculs ab initio Bleaney

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