Magnetic X-ray scattering study of random field effects in Mn0.75Zn0.25F2

We report a detailed synchrotron X-ray scattering study of the magnetic correlations in two samples of Mn_0.75Zn_0.25F₂ as a function of temperature and applied field. The critical behavior of this system is believed to be isomorphic with that of the three-dimensional random field Ising model (RFIM). On cooling in an external magnetic field (FC), the first sample exhibits a transition to long range order (LRO) in the near-surface region, at a field dependent temperature,T _N (H). In contrast, bulk neutron scattering studies show a long lived metastable domain state forming below a metastability boundary,T _M (H). The transition temperatureT _M (H), lies below the metastability boundary,T _M (H). The temperature difference,T _M (H)–T _M (H), increases with increasing field and agrees closely with the value deduced from an extrapolation from aboveT _M (H) of earlier, equilibrium neutron scattering results on the spin-spin correlation length. On cooling, the order parameter exponent is found to be large, =0.30±0.05. We speculate that there is an imbalance in the random fields in the neighborhood of linear surface defects (scratches) in this sample, and that the consequent net staggered field initiates a regular random Ising transition. The second sample was cut from the first and underwent a more extensive polishing process, resulting in a smoother surface with a small density of visible defects. Interestingly, it does not attain a LRO state on cooling, but rather it forms a domain state consistent with that observed by neutron diffraction. Both samples may be prepared in a LRO state, either by cooling in zero field and subsequently applying a field (ZFC) or, at high fields, by heating from the XY phase (FHXY). We have studied the evolution of the metastable LRO state in each sample on warming. We find universal behavior in both samples at all fields studied. Specifically there is a powerlaw-like decay of the order parameter with exponent =0.20±0.05, and a rounded transition region which may be described by a Gaussian distribution of transition temperatures. The width of this distribution scales asH ². A scaling plot of all the warming data as a function of the scaling variable (T–T _C (H)/H ² is constructed. We label this non-equilibrium pseudo-critical behavior, trompe l'oeil critical behaviour. Phenomenologically, these results enable us to explain many previous, apparently contradictory, results in the literature.     

Electroweak quantum effects in theM w -M z relation

Quantum effects in theM _w -M _z relation are studied in the framework of the standard SU(2)×U(1) electroweak theory. After reviewing this relation in detail, numerical analysis is carried out by using recent data of ALEPH, DELPHI, L3, OPAL and MARK II collaborations onM _z , and those of CDF and UA2 collaborations onM _w . For the weighted averageM _z ^exp =91.157±0.032 GeV, theW mass is calculated asM _w ⁽⁰⁾ =80.90±0.04 GeV,M _w ^(l.l) =79.75±0.04±0.02 GeV andM _w =80.21±0.04±0.04 GeV at the tree, leading-log and full correction level (form _top=140 GeV andm _Higgs=100 GeV) respectively. Remarkable is that only the fully correctedM _w is consistent withM _w ^exp =80.24±0.37 GeV, which clearly demands the heavy top-quark correction, and therefore gives a strong phenomenological support, independent of the neutral current data, to the electroweak theory as a renormalizable quantum field theory with the spontaneous symmetry breakdown.     

Higher Spin Conserved Currents in Sp(2M) Symmetric Spacetime

An infinite set of higher spin conserved charges is found for the sp(2M) symmetric dynamical systems in M(M+ 1)/2-dimensional generalized spacetime _M. Since the dynamics in _M is equivalent to the conformal dynamics of infinite towers of fields in d-dimensional Minkowski spacetime with d = 3, 4, 6, 10, ... for M = 2, 4, 8, 16, ..., respectively, the constructed currents in _M generate infinite towers of (mostly new) higher spin conformal currents in Minkowski spacetime. The charges have a form of integrals of M-forms which are bilinear in the field variables and are closed as a consequence of the field equations. Conservation implies independence of a value of charge of a local variation of a M-dimensional integration surface _M analogous to Cauchy surface in the usual spacetime. The scalar conserved charge provides an invariant bilinear form on the space of solutions of the field equations that gives rise to a positive-definite norm on the space of quantum states.     

All Stable Characteristic Classes of Homological Vector Fields

An odd vector field Q on a supermanifold M is called homological, if Q ² = 0. The operator of Lie derivative L _Q makes the algebra of smooth tensor fields on M into a differential tensor algebra. In this paper, we give a complete classification of certain invariants of homological vector fields called characteristic classes. These take values in the cohomology of the operator L _Q and are represented by Q-invariant tensors made up of the homological vector field and a symmetric connection on M by means of the algebraic tensor operations and covariant differentiation.     

Magnetocaloric effect in polycrystalline La0.65Ba0.3M0.05MnO3 (M=Na, Ag, K) manganites

The effects of monovalent doping on the crystallographic, magnetic and magnetocaloric properties of La_0.65Ba_0.3M_0.05MnO₃ (M=Na, Ag, K) powder samples, elaborated using the solid state reaction method at high temperature, have been investigated. In our three samples the Mn⁴⁺ amount remains constant equal to 40%. The Rietveld refinement of the X-ray powder diffraction shows that all our synthesized samples are single phase and crystallize in the distorted rhombohedral system with R3¯c space group. All our studied samples undergo a paramagnetic–ferromagnetic transition with decreasing temperature. Using the Arrott plot, the second-order transition Curie temperature T_C for M=Na, Ag and K is found to be 310, 300 and 290 K, respectively. The magnetic entropy change, deduced from isothermal magnetization curves, exhibits a maximum |ΔS_M^Max| of about 2.65, 2.82 and 2.66 J/kg K for M=Na, Ag and K, respectively, in a magnetic applied field change of 5 T. Although these values are modest, the magnetocaloric effect extends over a large temperature range leading to an important value of the relative cooling power (RCP). The RCP values exhibit a nearly linear dependence with the magnetic applied field. The refrigeration capacity in a magnetic applied field of 1 T is found to be 28.8, 27.8 and 25.6 J/kg for M=Na, Ag and K compounds.     

Shape transitions in two-body systems in a magnetic field: a classical limit

An algebraic approach is formulated to describe shape transitions of two-fermion systems, confined in a three-dimensional axially-symmetric parabolic potential, in an external magnetic field. The fermion interaction is considered in the form U _M (r) = α _M r^?M (α _M > 0,M > 0). Explicit algebraic expressions are derived in terms of system’s parameters and of the magnetic field strength to trace such transitions in the classical limit.     

New method to determine the domain wall energy in thin uniaxial films with perpendicular easy axis and large saturation magnetization

The surface energy density, γ, of domain walls in thin uniaxial films with perpendicular easy axis is usually found either by measurements of the domain pattern period of the stripe domain pattern or by determination of the bubble collapse field and diameter. However, when the saturation magnetization is large, the widths of stripe domains and bubbles become smaller than the minimum optical resolution, and optical observation becomes impossible. The method proposed in this paper is based on measurements of the susceptibility S = d (M/M_s)/d(H_a/4πM_s) of the stripe pattern at M = 0. Optical observations are avoided. The only additional important quantities are the saturation magnetization M_s and the film thickness. The method has been successfully applied to MnBi films (M_s = 625 G). The determination of γ in this material yields γ = (15 ± 1) erg/cm².     

Magnetic entropy change and large refrigerant capacity of Ce6i2Si3-type GdCoSiGe compound

Magnetic entropy change (Δ S_M) and refrigerant capacity (RC) of Ce₆Ni₂Si₃-type Gd₆Co_1.67Si_2.5Ge_0.5 compounds have been investigated. The Gd₆Co_1.67Si_2.5Ge_0.5 undergoes a reversible second-order phase transition at the Curie temperature T_C = 296 K. The high saturation magnetization leads to a large Δ S_M and the maximal value of Δ S_M is found to be 5.9 J/kg,cdot,K around T_C for a field change of 0--5 T. A broad distribution of the Δ S_M peak is observed and the full width at half maximum of the Δ S_M peak is about 101 K under a magnetic field of 5 T. The large RC is found around T_C and its value is 424 J/kg.     

High order electron paramagnetic resonance transitions of Gd3+ in Pr2Zn3(NO3)12·24H2O single crystals

Electron paramagnetic resonance of Gd³⁺ in Pr₂Zn₃(NO₃)₁₂ · 24H₂O single crystals has been studied at ∼ 9.45 GHz and at 285 K. In addition to the allowed fine structure lines (ΔM=± 1) some weak low field lines identified as ΔM = ± 2 transitions have been observed.     

Magnetization reversal in Fe48Pt34B34 magnetic foils

Exchange-spring magnet L1-FePt/(Fe₂B+α-Fe) is fabricated by flash annealing a melt-spun Fe₄₈Pt₃₄B₃₄ foil. A coercivity of 8500 Oe (1 Oe = 79.5775 A/m), squareness (M_r/M_s) of 0.70, saturation magnetization of 10.2 kGs (1 Gs = 10^-4 T) and an effective anisotropy K_eff =2.0 × 10⁷ ergs/cm³ are obtained. A two-step magnetization reversal feature is characterized in this paper. An exchange bias phenomenon is also observed in a low saturation field.     

Precursor diamagnetism above the superconducting transition in YNi_\mathsf{2}B_\mathsf{2}C

High-resolution SQUID magnetization measurements in a single crystal of YNi₂B₂C around the superconducting transition are reported. The diamagnetic magnetization -M _fl at constant field H as a function of temperature and isothermal magnetization curves -M _fl vs. H are used to derive insights on precursor phenomena approaching the bulk transition temperature K. The precursor diamagnetism is found strongly enhanced with respect to the conventional Ginzburg-Landau value for Gaussian fluctuations and the curves -M _fl vs. H exhibit an upturn with the field and hysteretic effects up to T ^* = 15.4 K. These results are interpreted in terms of a non-zero order parameter in superconducting droplets above the bulk T _c . These droplets are likely to be related to inhomogeneities resulting from small amount of boron to carbon substitutions.Received: 23 April 2003, Published online: 15 October 2003PACS: 74.40.+k Fluctuations (noise, chaos, nonequilibrium superconductivity, localization, etc.) - 74.20.De Phenomenological theories (two-fluid, Ginzburg-Landau, etc.) - 74.25.Ha Magnetic properties     

Transition dipole moment measurements for the ν2 band of NH3 with molecular beam laser Stark spectroscopy

Rabi oscillations were observed in the ASR(110), ΔM = 0 and ASQ(222), ΔM = 0 transitions of the ν₂ band of ¹⁴NH₃ in a molecular beam crossed by a CO₂ laser beam. The frequency (in terms of the laser field amplitude) of the oscillations was used to determine the transition dipole moment of the ν₂ band, yielding μ_s←a = 0.261 ± 0.006 D. The hyperfine structure due to the electric quadrupole interaction of the nitrogen nucleus was clearly resolved.     

Overlapping identical resonances and double radiative interference effects in recombination of heavy multicharged ions

The purely QED effect of double radiative interference in the recombination of electrons with heavy multicharged ions is discussed. Numerical calculations of the corresponding cross sections in the vicinities of the KL ₁₂ M ₁₂ and KM ₁₂ M ₁₂ dielectronic recombination resonances of heliumlike uranium are reported. The possibility of near-future experimental observation of the effect with the Super-EBIT facility is suggested. Pis’ma Zh. éksp. Teor. Fiz. 68, No. 7, 552–556 (10 October 1998) Published in English in the original Russian journal. Edited by Steve Torstveit.     

Stability of 3He2 4He M and 3He3 4He M L = 0,1 Clusters

We have studied the stability of mixed ³He/⁴He clusters in L = 0 and L = 1 states by the diffusion Monte Carlo method, employing the Tang-Toennies-Yiu (TTY) He-He potential. The clusters ³He⁴He_M ( ) and ³He₂⁴He_M (L = 0, S = 0) are stable for M > 1, while to bind two ³He in a triplet state the minimum number of ⁴He is four. Considering clusters with three ³He, ³He₃⁴He₄ is the smallest stable system in the L = 1 state, while ³He₃⁴He₈ is the smallest stable system in the L = 0 state.     

On Kaluza-Klein relativity

Starting with the hypothesis that space-time is locally embedded in a (4+n)-dimensiorial flat spaceM _4+n, a geometric Kaluza-Klein theory is derived withSO(10) gauge symmetry and an additional spin-2 field represented by the second fundamental formb _ij . This quadratic form imposes a natural boundary on the complementary subspace orthogonal to the space-time, regarded as the internal space. The Gauss-Coddazi-Ricci equations are combined to produce low-energy field equations whereb _i enters as a source field. High-energy dynamics are described by a continuum of space-time perturbations inM _{4+ n} induced byb _ij , satisfying Einstein-Yang-Mills equations. The spaceM _4+n is regarded as a particular space representing the ground state of a more general theory yet to be constructed.Research supported in part by the CNPq (Brazil).     

An investigation on the magneto-optic properties of terbium gallium garnet under high magnetic field

The superexchange interaction on a magnetic ion may be represented by an effective field H_m = $\lambda$M in some paramagnetic materials, here λ is the coefficient of effective field and M = $\chi$H_e with $\chi$ being the magnetic susceptibility and H_e being the applied field. The variation of the equivalent $\lambda_{\chi}$with the dynamic applied field is given and the crystal field-splitting levels of the excited configuration 4f⁷5d¹ of the Tb³⁺ ion are calculated in the Tb₃Ga₅O₁₂. By means of the effective field H_m and the applied field H_e, the Faraday rotation of Tb₃Ga₅O₁₂ at 6 K and 41 K, under the high magnetic field and at 0.63 μm wavelength, are presented. Our calculated results are in agreement with the experimental data.     

Calabi-Yau manifolds of some special forms

Let M=M ₁×...×M _m be a product of Kähler C-spaces with second Betti numbers b ₂(M _i )=1 (1im). The work establishes that the complete intersections X of M produce a finite number of N-dimensional Calabi-Yau manifolds. Moreover, if b ₄(M _i )=1, then the complete intersections with vanishing first Pontrjagin classes are finitely many, as well.On the other hand, we consider hypersurfaces of weighted projective spaces and give an explicit formula for their Euler characteristics. As in the previous case, it turns out that only a finite number of these are Calabi-Yau manifolds.     

Meson-lepton interaction in the spinor strong interaction theory

The recently developed spinor strong interaction theory, which successfully accounts for linear confinement and classification of mesons as well as unmixed meson spectra, is applied to semileptonic decays of the π,K, D, andB mesons. These mesons themselves generate massM _w for the mediating gauge boson; no Higgs boson is needed. The theory is also applied to purely leptonic interactions. It is shown that the results of the standard electroweak model can be taken over with the Higgs boson replaced by the above mesons. The Cabbibo angle ϑ_C is given by tan ϑ_C=(pion mass)/(kaon mass), in agreement with data. The pion decay constantF is essentially a ratio between two large constants introduced to make certain infinite integrals finite.M _w is also related to a similar cutoff constant. Dragarbrunnsg. 9B.     

Temperature dependence of anisotropic displacement parameters in O3‐type NaM O2 (M = Cr and Fe): Comparison with isostructural LiCoO2

O3‐type NaM O₂ (M = Cr and Fe) is a promising cathode material for sodium ion secondary batteries (SIBs). Here, we investigate the temperature dependence of anisotropic displacement parameters, U₃₃ and U₁₁, in NaM O₂ by synchrotron radiation X‐ray powder diffraction measurements. In both compounds, the displacement ratios $(r \equiv \sqrt {U_{33} /U_{11} } - 1)$ for M and O are positive, reflecting the out‐of‐plane thermal displacement of the M O₂ layer. On the other hand, the r value for Na is negative, reflecting the two‐dimensional (2D) host structure. (© 2014 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Nuclear quadrupole resonance studies of209Bi in Bi4(GeO4)3 and Bi4(SiO4)3

Nuclear quadrupole resonance (NQR) of²⁰⁹Bi has been studied in Bi₄ (GeO₄)₃ and Bi₄ (SiO₄)₃ using a wide band coherence-controlled superregenerative oscillator-detector. All the four allowed (ΔM _I=±1) transitions are observed. In both cases the electric field gradient (EFG) tensor is axially symmetric (η=0.0). The quadrupole coupling constante ² qQ is measured to be 490.8±1 MHz and 470.4±1 MHz respectively. It is pointed out that the purely ionic model is inadequate to understand these results. With the available experimental accuracy and the strength of the applied electric field (∼ 6 KV/cm), no field-induced effects on the NQR spectrum could be observed in the case of Bi₄ (SiO₄)₃.