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We present the exact solution of a two-orbital Hubbard model on a two-site molecule for arbitrary electron filling and arbitrary interaction couplings. The knowledge of the many-particle spectrum, determined via a diagonalization procedure performed by fully taking into account the symmetry properties of the model, has been used to investigate the temperature dependence of charge, spin and orbital response functions as well as of the intra- and inter-orbital on-site occupations. We point out that this study may allow easy access to many interesting features of the model and may serve as a reference tool for various numerical or perturbation methods dealing with complex correlated electron models defined on a lattice, in particular in the case in which strong local interactions dominate over kinetic effects.

Non-stoichiometric oxides from the Ruddlesden-Popper series, such as Pr2NiO4+δ, can be hole-doped by substituting strontium to praseodymium or by oxygen insertion. This leads to complex structural ordering involving oxygen-, charge- and spin ordering. The complex phase diagram of Pr2-xSrxNiO4+δ was explored using X-ray (laboratory and synchrotron) as well as neutron diffractions. For the doped phase of highest oxygen content (Pr2NiO4.25), we could evidence an incommensurate structure with satellite reflections of 6th order, yielding a very complex diffraction pattern of up to four twin-individuals and eight incommensurate domains. Checkerboard-type charge ordering was identified already at ambient temperature, while stripe charge ordering was observed below 170 K by synchrotron and neutron diffraction; incommensurate spin ordering appears below 99 K. This thesis reveals the existence of many complex oxygen and electronically ordered phases going along with small variations of the oxygen/strontium stoichiometry., Les oxydes non-stoechiométriques de type Ruddlesden-Popper, tel que Pr2NiO4+δ, peuvent être dopés en trous par substitution du strontium au praséodyme ou par insertion d’oxygène. Ces modes de dopage s’accompagnent de mises en ordre complexes impliquant la distribution des ions oxygène excédentaires, des ordres de charge et/ou de spin. Le diagramme de phase de Pr2-xSrxNiO4+δ a été exploré par diffraction des rayons X (en laboratoire et par rayonnement synchrotron) ainsi que neutronique. Pour la phase Pr2NiO4.25, nous avons mis en évidence une sur-structure incommensurable avec des réflexions satellites au 6ème ordre, produisant un spectre de diffraction très complexe avec 4 individus et 8 domaines incommensurables. Par diffractions synchrotron et neutronique, un ordre de charge de type échiquier a été identifié dès la température ambiante, suivi en dessous de 170 K par un ordre de type rubans ; un ordre de spin incommensurable s’établit au-dessous de 99 K. Ce travail a permis de révéler un ensemble complexe de phases ordonnées structuralement et électroniquement, gouvernées par des variations subtiles de stoechiométrie en strontium et oxygène.

Strong electronic correlations pose one of the biggest challenges to solid state theory. We review recently developed methods that address this problem by starting with the local, eminently important correlations of dynamical mean field theory (DMFT). On top of this, non-local correlations on all length scales are generated through Feynman diagrams, with a local two-particle vertex instead of the bare Coulomb interaction as a building block. With these diagrammatic extensions of DMFT long-range charge-, magnetic-, and superconducting fluctuations as well as (quantum) criticality can be addressed in strongly correlated electron systems. We provide an overview of the successes and results achieved---hitherto mainly for model Hamiltonians---and outline future prospects for realistic material calculations., 60 pages, 42 figures, replaced by the version to be published in Rev. Mod. Phys. 2018

An isostructural series of anion radical salts, β'-(EtxMe4−xZ)[Pd(dmit)2]2 (x = 0–2, Z = P, As, Sb), with a quasi-triangular lattice comprising the dimer unit [Pd(dmit)2]2− belong to a strongly correlated electron system with geometrical frustration. Intra and interdimer transfer integrals between the frontier molecular orbitals, which characterize the strength of electron correlation and degree of frustration, can be tuned by selection of the counter cation. We have systematically analyzed the crystal structure with X-ray diffraction method and intermolecular transfer integrals using extended Hückel molecular orbital calculations based on structural data. The variation in the cation affects the unit cell in a manner equivalent to an anisotropic pressure. Increasing the covalent radius of the central atom Z and the number of ethyl groups (x) in the cation leads to slight arching of the Pd(dmit)2 molecule. This arch-shaped distortion of the Pd(dmit)2 molecule modifies the interdimer transfer integrals in formation of the regular triangular dimer lattice. On the other hand, the intradimer transfer integral, which is correlated with the effective on-site Coulomb interaction of the dimer, is weakly dependent on the type of cation.

The recently proposed concept of a Hund's metal - a metal in which electron correlations are driven by Hund's rule coupling - can be used to explain the exotic magnetic and electronic behaviour of strongly correlated electron systems of multi-orbital metallic materials. Tuning the abundance of parameters that determine these materials is, however, experimentally challenging. Here, we show that the basic constituent of a Hund's metal - a Hund's impurity - can be realized using a single iron atom adsorbed on a platinum surface, a system that comprises a magnetic moment in the presence of strong charge fluctuations. The magnetic properties can be controlled by using the tip of a scanning tunnelling microscope to change the binding site and degree of hydrogenation of the 3d transition-metal atom. We are able to experimentally explore a regime of four almost degenerate energy scales (Zeeman energy, temperature, Kondo temperature and magnetic anisotropy) and probe the magnetic excitations with the microscope tip. The regime of our Hund's impurity can be tuned from an emergent magnetic moment to a multi-orbital Kondo state, and the system could be used to test predictions of advanced many-body theories for non-Fermi liquids in quantum magnets or unconventional superconductors. © 2015 Macmillan Publishers Limited. All rights reserved.

We revisit the particle-hole symmetry of the one-dimensional ($D=1$) fermionic spinless Hubbard model, associating that symmetry to the invariance of the Helmholtz free energy of the one-dimensional spin-1/2 $XXZ$ Heisenberg model, under reversal of the longitudinal magnetic field and at any finite temperature. Upon comparing two regimes of that chain model so that the number of particles in one regime equals the number of holes in the other, one finds that, in general, their thermodynamics is similar, but not identical: both models share the specific heat and entropy functions, but not the internal energy per site, the first-neighbor correlation functions, and the number of particles per site. Due to that symmetry, the difference between the first-neighbor correlation functions is proportional to the $z$-component of magnetization of the $XXZ$ Heisenberg model. The results presented in this paper are valid for any value of the interaction strength parameter $V$, which describes the attractive/null/repulsive interaction of neighboring fermions., Comment: 6 pages

We have investigated the effects of the isovalent ruthenium substitution in LaFe1−xRuxAsO, by extensive 75As NQR (nuclear quadrupole resonance) measurements, supported by DFT (density functional theory) calculations, in order to characterize both the lattice and electronic structure details. The evidence for five different local configurations around the arsenic site emerges upon increasing ruthenium for iron substitution. DFT calculations confirm the attribution of the measured electric field gradients (EFGs) to ruthenium atom occupancies (0, 1, 2, 3, and 4) on the nearest-neighbour sites of arsenic. It is found that the low-frequency (Ru-free) NQR peak remains almost unaffected upon ruthenium substitution, providing an experimental confirmation that ruthenium does not introduce delocalized carriers in the iron plane.

Theoretical studies on charge ordering phenomena in quarter-filled molecular (organic) conductors are reviewed. Extended Hubbard models including not only the on-site but also the inter-site Coulomb repulsion are constructed in a straightforward way from the crystal structures, which serve for individual study on each material as well as for their systematic understandings. In general the inter-site Coulomb interaction stabilizes Wigner crystal-type charge ordered states, where the charge localizes in an arranged manner avoiding each other, and can drive the system insulating. The variety in the lattice structures, represented by anisotropic networks in not only the electron hopping but also in the inter-site Coulomb repulsion, brings about diverse problems in low-dimensional strongly correlated systems. Competitions and/or co-existences between the charge ordered state and other states are discussed, such as metal, superconductor, and the dimer-type Mott insulating state which is another typical insulating state in molecular conductors. Interplay with magnetism, e.g., antiferromagnetic state and spin gapped state for example due to the spin-Peierls transition, is considered as well. Distinct situations are pointed out: influences of the coupling to the lattice degree of freedom and effects of geometrical frustration which exists in many molecular crystals. Some related topics, such as charge order in transition metal oxides and its role in new molecular conductors, are briefly remarked., 21 pages, 19 figures, to be published in J. Phys. Soc. Jpn. special issue on "Organic Conductors"; figs. 4 and 11 replaced with smaller sized file

The intermediate valence compound Ce 2Ni 2Mg absorbs irreversibly hydrogen when exposed under 1 MPa of H 2 pressure at room temperature. The resulting hydride Ce 2Ni 2MgH 7.7 is stable in air and crystallizes as the deuteride La 2Ni 2MgD 8 in a monoclinic structure (space group P2 1 /c) with the unit cell parameters a = 11.7620(2), b = 7.7687(2), and c = 11.8969(2) A and beta = 92.75 degrees . The H-insertion in Ce 2Ni 2Mg induces a structural transition from a tetragonal to a monoclinic symmetry with an unit cell volume expansion Delta V m/ V m approximately 24.9%. The investigation of the hydride by magnetization, electrical resistivity, and specific heat measurements indicates a change from an intermediate valence behavior to a non-magnetic strongly correlated electron system. This transition results from a change of the coupling constant J cf between 4f(Ce) and conduction electrons induced by the hydrogenation.

We found that when the spinless model is off the half-filling regime ($\mu \neq V$), the Helmholtz free energy (HFE) can be written as two $\beta$-expansions: one expansion comes from the half-filling configuration and another one that depends on the parameter $x = \mu - V$. We show numerically that the chemical potential as a function of temperature satisfies a relation similar to the one derived from the particle-hole symmetry of the fermionic spinless model. We extend the $\beta$-expansion of the HFE of the one-dimensional fermionic spinless Hubbard model up to order $\beta^8$., Comment: 12 pages, 3 figures

The magnetic properties of polycrystalline Tb(CoxNi1−x)2B2C (x=0.2,0.4,0.6,0.8) samples were probed by magnetization, specific heat, ac susceptibility, and resistivity techniques. For x≠0.4, the curves obtained are consistent with the features expected for the corresponding magnetic modes, namely k1=(0.55,0,0) at x=0; k2=(12,0,12) at x=0.2 and 0.4; k3=(0,0,13) at x=0.6, and k4=(0,0,0) at x=0.8 and 1. For each of these compositions, we thoroughly discuss the analyses leading to the determination of the magnetic critical temperature through separate independent measurements. For x=0.4, even though neutron diffraction indicates a k2 mode (but with a reduced magnetic moment) the magnetization, the ac susceptibility, and resistivity indicate two magnetic events, in sharp contrast with other concentrations, for which a single critical event is observed; furthermore, deviation from Curie–Weiss behavior is observed below 150K for this sample. These features, together with the evolution of both magnetic moment and critical temperature, are attributed to a combination of crystalline electric field effects and an interplay between competing magnetic couplings.