1,474 research outputs found
Observation of long range magnetic ordering in pyrohafnate Nd2Hf2O7: A neutron diffraction study
We have investigated the physical properties of a pyrochlore hafnate Nd2Hf2O7
using ac magnetic susceptibility \chi_ac(T), dc magnetic susceptibility
\chi(T), isothermal magnetization M(H) and heat capacity C_p(T) measurements,
and determined the magnetic ground state by neutron powder diffraction study.
An upturn is observed below 6 K in C_p(T)/T, however both C_p(T) and \chi(T) do
not show any clear anomaly down to 2 K. The \chi_ac(T) shows a well pronounced
anomaly indicating an antiferromagnetic transition at T_N = 0.55 K. The long
range antiferromagnetic ordering is confirmed by neutron diffraction. The
refinement of neutron diffraction pattern reveals an all-in/all-out
antiferromagnetic structure, where for successive tetrahedra, the four Nd3+
magnetic moments point alternatively all-into or all-out-of the tetrahedron,
with an ordering wavevector k = (0, 0, 0) and an ordered state magnetic moment
of m = 0.62(1) \mu_B/Nd at 0.1 K. The ordered moment is strongly reduced
reflecting strong quantum fluctuations in ordered state.Comment: 10 pages, 9 figures and 2 tables; to appear in Phys. Rev.
Robust tests for heteroskedasticity and autocorrelation in the multiple regression model: Working paper series--02-05
The standard Rao's (1948) score or Lagrange multiplier test for heteroskedasticity was originally developed assuming normality of the disturbance term [see Godfrey (1978b), and Bruesch and Pagan (1979)]. Therefore, the resulting test depends heavily on the normality assumption. Koenker (1981) suggests a studentized for which is robust to nonnormality. This approach seems to be limited because of the unavailability of a general procedure that transforms a test to a robust one. Following Bickel (1978), we use a different approach to take account of nonnormality. Our tests will be based on the score function which is defined as the negative derivitive of the log-density function with respect to the underlying random variable. To implement the test we use a nonparametric estimate of the score function. Our robust test for heteroskedasticity is obtained by running a regression of the product of the score function and ordinary least squares residuals on some exogenous variables which are thought to be causing the heteroskedasticity. We also use our procedure to develop a robust test for autocorrelation which can be computed by regressing the score function on the lagged ordinary least squares residuals and the independent variables. Finally, we carry out an extensive Monte Carlo study which demonstrates that our proposed tests have superior finite sample properties compared to the standard tests
AlkoxyalleneâBased LANCA ThreeâComponent Synthesis of 1,2âDiketones, Quinoxalines, and Unique Isoindenone Dimers and a Computational Study of the Isoindenone Dimerization
A series of ÎČâalkoxyâÎČâketoenamides was prepared by the wellâestablished LANCA threeâcomponent reaction of lithiated 1â(2âtrimethylsilylethoxy)âsubstituted allenes, nitriles, and α,ÎČâunsaturated carboxylic acids. The αâtertâbutylâsubstituted compounds were smoothly converted into the expected 1,2âdiketones by treatment with trifluoroacetic acid. A subsequent condensation of the 1,2âdiketones with oâphenylenediamine provided the desired highly substituted quinoxalines in good overall yield. Surprisingly, the αâphenylâsubstituted ÎČâalkoxyâÎČâketoenamides investigated afford not only the expected 1,2âdiketones, but also pentacyclic compounds with an antiâtricyclo[4.2.1.12,5]decaâ3,7âdieneâ9,10âdione core. These interesting products are very likely the result of an isoindenone dimerization which was mechanistically studied with the support of DFT calculations. Under the strongly acidic reaction conditions, a stepwise reaction is likely leading to a protonated isoindenone as reactive intermediate. It may first form a van der Waals complex with a neutral isoindenone before the two regioâ and diastereoselective ring forming steps occur. Interestingly, two neutral or two protonated isoindenones are also predicted to dimerize giving the observed pentacyclic product
Field Induced Magnetic Ordering and Single-ion Anisotropy in the Quasi-1D Haldane Chain Compound SrNi2V2O8: A Single Crystal investigation
Field-induced magnetic ordering in the Haldane chain compound
SrNiVO and effect of anisotropy have been investigated using
single crystals. Static susceptibility, inelastic neutron scattering,
high-field magnetization, and low temperature heat-capacity studies confirm a
non-magnetic spin-singlet ground state and a gap between the singlet ground
state and triplet excited states. The intra-chain exchange interaction is
estimated to be 0.1 meV. Splitting of the dispersions into two
modes with minimum energies 1.57 and 2.58 meV confirms the existence of
single-ion anisotropy . The value of {\it D} is estimated to be
meV and the easy axis is found to be along the
crystallographic {\it c}-axis. Field-induced magnetic ordering has been found
with two critical fields [0.2 T and
0.5 T at 4.2 K]. Field-induced
three-dimensional magnetic ordering above the critical fields is evident from
the heat-capacity, susceptibility, and high-field magnetization study. The
Phase diagram in the {\it H-T} plane has been obtained from the high-field
magnetization. The observed results are discussed in the light of theoretical
predictions as well as earlier experimental reports on Haldane chain compounds
Spinon Confinement in the One-Dimensional Ising-Like Antiferromagnet SrCo2V2O8
For quasi-one dimensional quantum spin systems theory predicts the occurrence
of a confinement of spinon excitation due to interchain couplings. Here we
investigate the system SrCo2V2O8, a realization of the weakly-coupled
Ising-like XXZ antiferromagnetic chains, by terahertz spectroscopy with and
without applied magnetic field. At low temperatures a series of excitations is
observed, which split in a Zeeman-like fashion in an applied magnetic field.
These magnetic excitations are identified as the theoretically predicted
spinon-pair excitations. Using a one dimensional Schr\"odinger equation with a
linear confinement potential imposed by weak interchain couplings, the
hierarchy of the confined spinons can be fully described.Comment: 4 pages, 3 figure
Consequences of critical interchain couplings and anisotropy on a Haldane chain
Effects of interchain couplings and anisotropy on a Haldane chain have been
investigated by single crystal inelastic neutron scattering and density
functional theory (DFT) calculations on the model compound SrNiVO.
Significant effects on low energy excitation spectra are found where the
Haldane gap (; where is the intrachain exchange
interaction) is replaced by three energy minima at different antiferromagnetic
zone centers due to the complex interchain couplings. Further, the triplet
states are split into two branches by single-ion anisotropy. Quantitative
information on the intrachain and interchain interactions as well as on the
single-ion anisotropy are obtained from the analyses of the neutron scattering
spectra by the random phase approximation (RPA) method. The presence of
multiple competing interchain interactions is found from the analysis of the
experimental spectra and is also confirmed by the DFT calculations. The
interchain interactions are two orders of magnitude weaker than the
nearest-neighbour intrachain interaction = 8.7~meV. The DFT calculations
reveal that the dominant intrachain nearest-neighbor interaction occurs via
nontrivial extended superexchange pathways Ni--O--V--O--Ni involving the empty
orbital of V ions. The present single crystal study also allows us to
correctly position SrNiVO in the theoretical - phase
diagram [T. Sakai and M. Takahashi, Phys. Rev. B 42, 4537 (1990)] showing where
it lies within the spin-liquid phase.Comment: 12 pages, 12 figures, 3 tables PRB (accepted). in Phys. Rev. B (2015
Spinon confinement in a quasi one dimensional anisotropic Heisenberg magnet
Confinement is a process by which particles with fractional quantum numbers
bind together to form quasiparticles with integer quantum numbers. The
constituent particles are confined by an attractive interaction whose strength
increases with increasing particle separation and as a consequence, individual
particles are not found in isolation. This phenomenon is well known in particle
physics where quarks are confined in baryons and mesons. An analogous
phenomenon occurs in certain magnetic insulators; weakly coupled chains of
spins S=1/2. The collective excitations in these systems is spinons (S=1/2). At
low temperatures weak coupling between chains can induce an attractive
interaction between pairs of spinons that increases with their separation and
thus leads to confinement. In this paper, we employ inelastic neutron
scattering to investigate the spinon confinement in the quasi-1D S=1/2 XXZ
antiferromagnet SrCo2V2O8. Spinon excitations are observed above TN in
quantitative agreement with established theory. Below TN the pairs of spinons
are confined and two sequences of meson-like bound states with longitudinal and
transverse polarizations are observed. Several theoretical approaches are used
to explain the data. A new theoretical technique based on Tangent-space Matrix
Product States gives a very complete description of the data and provides good
agreement not only with the energies of the bound modes but also with their
intensities. We also successfully explained the effect of temperature on the
excitations including the experimentally observed thermally induced resonance
between longitudinal modes below TN ,and the transitions between thermally
excited spinon states above TN. In summary, our work establishes SrCo2V2O8 as a
beautiful paradigm for spinon confinement in a quasi-1D quantum magnet and
provides a comprehensive picture of this process.Comment: 17 pages, 18 figures, submitted to PR
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