Structure and magnetic properties of In2RuMnO6 and In2RuFeO6 : Heavily transition-metal doped In2O3 -type bixbyites

The title compounds have been synthesized by a citrate technique. The crystal structure of these materials has been studied at room temperature from high-resolution neutron powder diffraction data. In, Ru, and M=Mn,Fe are distributed at random over the metal sites of a C-M₂O₃ bixbyite-type structure, space group $Ia\stackrel{?}{3}$, with $a=9.89000\left(3\right)\AA$ for M=Mn and $a=10.07536\left(4\right)\AA$ for M=Fe. It is well known that In₂O₃ is able to dissolve certain amounts of transition metals but, at ambient pressure, the solubility is rather small, lower than $s=0.5$ in In_2?sM_sO₃. Here, we describe a substantial incorporation of magnetic transition metals into In₂O₃ of half of the metal positions ($s=1$), by simple thermal treatment at temperatures in the 1300–1400 °C range. Although a bond-valence study shows unrealistically low valences for Ru ions, which statistically occupy the metal positions, replacing In, the magnetic properties suggest a valence equilibrium Ru³⁺/M³⁺?Ru⁴⁺/M²⁺. In₂RuFeO₆ shows antiferromagnetic interactions below $T_N\approx 95K$, with a very weak ferromagnetism effect at low temperatures.     

Determination of the Landau–Lifshitz damping parameter by means of complex susceptibility measurements

A new experimental method for the determination of the Landau–Lifshitz damping parameter, α$\alpha$, based on measurements of the frequency and field dependence of the complex magnetic susceptibility, χ(ω,H)=χ^′(ω,H)-iχ^″(ω,H)$\chi (\omega ,H)={\chi }^{\prime }(\omega ,H)-\mathrm{i}{\chi }^{″}(\omega ,H)$, is proposed. The method centres on evaluating the ratio of f_max/f_res, where f_res is the resonance frequency and f_max is the maximum absorption frequency at resonance, of the sample susceptibility spectra, measured in strong polarizing fields. We have investigated three magnetic fluid samples, namely sample 1, sample 2 and sample 3. Sample 1 consisted of particles of Mn_0.6Fe_0.4Fe₂O₄ dispersed in kerosene, sample 2 consisted of magnetite particles dispersed in Isopar M and sample 3 was composed of particles of Mn_0.66Zn_0.34Fe₂O₄ dispersed in Isopar M  . The results obtained for the mean damping parameter of particles within the magnetic fluid samples are as follows: 〈α(_{Mn0.6Fe0.4Fe2O4})〉=0.057$〈\alpha ({\mathrm{Mn}}_{0.6}{\mathrm{Fe}}_{0.4}{\mathrm{Fe}}_2{\mathrm{O}}_4)〉=0.057$ with the corresponding standard deviation SD=0.0104$\mathrm{SD}=0.0104$; 〈α(_Fe3O4)〉=0.1105$〈\alpha ({\mathrm{Fe}}_3{\mathrm{O}}_4)〉=0.1105$ with the corresponding standard deviation, SD=0.034$\mathrm{SD}=0.034$ and 〈α(_{Mn0.66Zn0.34Fe2O4})〉=0.096$〈\alpha ({\mathrm{Mn}}_{0.66}{\mathrm{Zn}}_{0.34}{\mathrm{Fe}}_2{\mathrm{O}}_4)〉=0.096$ with the corresponding standard deviation, SD=0.037$\mathrm{SD}=0.037$.     

An orthorhombic chromium-center in the spinel MgAl2O4

In Cr-doped MgAl₂O₄ most of the Cr³⁺-ions occupy normal B-sites. In addition to this axial center we report here the presence of an orthorhombic Cr³⁺-center. The ESR-spectra of this new center can be described by the spin Hamiltonian:

$?=\mathit{D}\left[S_z^2?\frac{1}{3}\mathit{S}\left(S+1\right)\right]+g_x\beta H_x{S}_x+g_y\beta H_y{S}_y+g_z\beta H_z{S}_z+\mathit{E}\left(S_x^2?S_y^2\right)$

, with S=3/2. The principal axes of the center are along [111]=Z, $\left[111\right]=Z,\left[1\overline{1}0\right]=Y$ and $\left[\overline{1}\overline{1}2\right]=X$. The values of the parameters are: g_z=1·950±0·005, g_x=g_y=1·915±0·015, D=+0·903cm^?1±0·003 cm^?1 and E=+0·084 cm^?1±0·005 cm^?1. The intensity of the lines is about ten times lower than that of the axial Cr³⁺-center.     

Bulk and local magnetic susceptibility in CeAl2 and CeB6

A comprehensive and high-precision magnetoresistance (MR) Δρ/ρ(H,T)$\mathrm{\Delta }\rho /\rho (H,T)$ and magnetization M(H,T) measurements have been carried out for two well known and archetypal magnetic strongly correlated electron systems—CeAl₂ and CeB₆. It was shown that the main Brillouin-type component of MR in these magnetic heavy fermion compounds can be consistently interpreted in the frameworks of a simple relation between resistivity and magnetization—Δρ/ρ∼M²$\mathrm{\Delta }\rho /\rho \sim M^2$ obtained by Yosida [Phys. Rev. 107 (1957) 396]. A local magnetic susceptibility _χloc(T,H)=(1/H^*(d(Δρ/ρ)/dH))^1/2${\chi }_{\mathrm{loc}}(T,H)=(1/H^{*}(\mathrm{d}(\mathrm{\Delta }\rho /\rho )/\mathrm{d}H){)}^{1/2}$ was deduced directly from this part of MR and compared in details with the data of bulk susceptibility χ(T,H) measurements. Two additional contributions to MR have been also deduced for CeAl₂ ((i) linear (∼H) and (ii) nanoscale ferromagnetic components) and applied for a characterization of spin polarons in this magnetic material. The dependencies χ_loc(T,H) and χ(T,H) obtained in this study for CeB₆ and CeAl₂ allow us to analyze the H–T magnetic phase diagram in these magnetic heavy fermion compounds.     

Shot noise in HTc superconductor quantum point contact system

We study the electrical transport properties of a quantum point contact between a lead and a high Tc superconductor. For this, we use the Hamiltonian approach and non-equilibrium Green functions of the system. The electrical current and the shot noise are calculated with this formalism. We consider d_x²−y²${\mathrm{d}}_{x^2-y^2}$, d_xy${\mathrm{d}}_{\mathit{xy}}$, d_x²−y²+is${\mathrm{d}}_{x^2-y^2}+\mathrm{is}$ and d_xy+is${\mathrm{d}}_{\mathit{xy}}+\mathrm{is}$ symmetries for the pair potential. Also we explore the s₊₋${\mathrm{s}}_{+-}$ and s₊₊${\mathrm{s}}_{++}$ symmetries describing the behavior of the ferropnictides superconductors. We found that for d_xy${\mathrm{d}}_{\mathit{xy}}$ symmetry there is not a zero bias conductance peak and for d+is$\mathrm{d}+\mathrm{is}$ symmetries there is a displacement of the transport properties. From shot noise and current, the Fano factor is calculated and we found that it takes values of effective charge between e and 2e  , this is explained by the diffraction of quasiparticles in the contact. For the s₊₋${\mathrm{s}}_{+-}$ and s₊₊${\mathrm{s}}_{++}$ symmetries the results show that the electrical current and the shot noise depend on the mixing coefficient, furthermore, the effective electric charge can take values between 0 and 2e, in contrast with the results obtained for s wave superconductors.     

Persistent luminescence and synchrotron radiation study of the Ca2MgSi2O7:Eu2+,R3+ materials

The tetragonal ${\mathrm{Ca}}_2{\mathrm{MgSi}}_2{\mathrm{O}}_7$:${\mathrm{Eu}}^{2+},{\mathrm{R}}^{3+}$ persistent luminescence materials were prepared by a solid state reaction. The UV excited and persistent luminescence was observed in the green region centred at 535 nm. Both luminescence phenomena are due to the same ${\mathrm{Eu}}^{2+}$ ion occupying the single ${\mathrm{Ca}}^{2+}$ site in the host lattice. The ${\mathrm{R}}^{3+}$ codoping usually reduced the persistent luminescence of ${\mathrm{Ca}}_2{\mathrm{MgSi}}_2{\mathrm{O}}_7$:${\mathrm{Eu}}^{2+}$, which differs from the ${\mathrm{M}}_2{\mathrm{MgSi}}_2{\mathrm{O}}_7$:${\mathrm{Eu}}^{2+}$ $(\mathrm{M}=\mathrm{Sr},\mathrm{Ba})$ and ${\mathrm{MAl}}_2{\mathrm{O}}_4$:${\mathrm{Eu}}^{2+}$ $(\mathrm{M}=\mathrm{Ca},\mathrm{Sr})$ materials. Only the ${\mathrm{Tb}}^{3+}$ ion enhanced slightly the persistent luminescence. With the aid of synchrotron radiation, the band gap energy of ${\mathrm{Ca}}_2{\mathrm{MgSi}}_2{\mathrm{O}}_7$:${\mathrm{Eu}}^{2+}$ was found to be about 7 eV that is very similar to those of the ${\mathrm{M}}_2{\mathrm{MgSi}}_2{\mathrm{O}}_7$:${\mathrm{Eu}}^{2+}$ $(\mathrm{M}=\mathrm{Sr},\mathrm{Ba})$ materials. Thermoluminescence results suggested that the ${\mathrm{R}}^{3+}$ ions might act as electron traps, but only the TL peaks created by ${\mathrm{Tm}}^{3+}$ and ${\mathrm{Sm}}^{3+}$ can be found in the temperature range accessible. Lattice defects (e.g. oxygen vacancies) are also important, since the same main thermoluminescence peak was observed at about $100{}^{\circ }\mathrm{C}$ with and without ${\mathrm{R}}^{3+}$ codoping.     

Interpretation of the optical absorption spectrum of Co3O4 with normal spinel structure from first principles calculations

First principles calculations based on density functional theory have been employed to study the electronic, magnetic and optical properties of Co₃O₄ in a cubic normal spinel structure. Exchange and correlation effects between electrons were treated by a B3PW91 hybrid functional, which produced better results than others scheme, such as GGA+U or PBE0 hybrid functionals or mBJ semilocal potential. The work focuses on clarifying the nature of the optical absorption bands, which have motivated various theoretical and experimental works in the literature. The calculated optical absorption spectrum was compared with available experimental data. On the basis of this calculated electronic and magnetic structure, the optical absorption peaks (theoretical and experimental) could be satisfactorily explained in terms of d3d   charge transfer transitions between both CO²⁺${\mathrm{CO}}^{2^{+}}$→CO²⁺${\mathrm{CO}}^{2^{+}}$ and CO³⁺${\mathrm{CO}}^{3^{+}}$→CO³⁺${\mathrm{CO}}^{3^{+}}$ ions. The calculations also predicted that the crystal field splittings at both octahedral and tetrahedral sites in the Co₃O₄ compound are of the same magnitude.     

Generalized Einstein real hypersurfaces in complex two-plane Grassmannians

In this paper we give a complete classification of pseudo-Einstein real hypersurfaces in complex two-plane Grassmannians _G2(C^m+2)$G_2\left({\mathbb{C}}^{m+2}\right)$. As an application of this result we prove that there do not exist Einstein Hopf or D^⊥${\mathfrak{D}}^{\perp }$-invariant Einstein real hypersurfaces in _G2(C^m+2)$G_2\left({\mathbb{C}}^{m+2}\right)$.     

Real hypersurfaces in complex two-plane Grassmannians with commuting Ricci tensor

In this paper, first we introduce the full expression for the Ricci tensor of a real hypersurface M$M$ in complex two-plane Grassmannians _G2(C^m+2)$G_2\left({\mathbb{C}}^{m+2}\right)$ from the equation of Gauss. Next we prove that a Hopf hypersurface in complex two-plane Grassmannians _G2(C^m+2)$G_2\left({\mathbb{C}}^{m+2}\right)$ with commuting Ricci tensor is locally congruent to a tube of radius r$r$ over a totally geodesic _G2(C^m+1)$G_2\left({\mathbb{C}}^{m+1}\right)$. Finally it can be verified that there do not exist any Hopf Einstein hypersurfaces in _G2(C^m+2)$G_2\left({\mathbb{C}}^{m+2}\right)$.