7,497 research outputs found

    Magnetic ordering and fluctuation in kagome lattice antiferromagnets, Fe and Cr jarosites

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    Jarosite family compounds, KFe_3(OH)_6(SO_4)_2, (abbreviate Fe jarosite), and KCr_3(OH)_6(SO_4)_2, (Cr jarosite), are typical examples of the Heisenberg antiferromagnet on the kagome lattice and have been investigated by means of magnetization and NMR experiments. The susceptibility of Cr jarosite deviates from Curie-Weiss law due to the short-range spin correlation below about 150 K and shows the magnetic transition at 4.2 K, while Fe jarosite has the transition at 65 K. The susceptibility data fit well with the calculated one on the high temperature expansion for the Heisenberg antiferromagnet on the kagome lattice. The values of exchange interaction of Cr jarosite and Fe jarosite are derived to be J_Cr = 4.9 K and J_Fe = 23 K, respectively. The 1H-NMR spectra of Fe jarosite suggest that the ordered spin structure is the q = 0 type with positive chirality of the 120 degrees configuration. The transition is caused by a weak single-ion type anisotropy. The spin-lattice relaxation rate, 1/T_1, of Fe jarosite in the ordered phase decreases sharply with lowering the temperature and can be well explained by the two-magnon process of spin wave with the anisotropy.Comment: REVTeX, 14 pages with 5 figures. Submitted to Canadian Journal of Physic

    Dendroclimatic Studies of White Spruce in the Yukon Territory, Canada

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    An extensive network of 111 white spruce tree-ring chronologies (2983 trees) from treeline sites was developed across the Yukon Territory and adjacent areas of Alaska and British Columbia. Ring-width series from 73 chronologies with adequate signal strength back to 1800 were analysed using correlation and Principal Component analyses. Although 50 chronologies showed a strong common growth pattern over the 1900-1950 period (45.6% of the variance in PC1), PC1 over the 1950-2000 period included only 22 (27.1% of the variance). Correlation with temperature data from the central-north Yukon indicated that 1900-1950 PC1 chronologies showed significant positive relationships to summer (JJA) minimum temperatures and strong negative relationships with prior summer maximum temperatures. Only four of these chronologies retained the positive summer signal for the 1950-2000 period and approximately one third exhibited significant negative responses to spring/summer minimum temperatures during the 1950-2000 period. The loss of positive temperature sensitivity indicates a divergent temperature response in ring width for most sites throughout the north and central Yukon, inhibiting the proposed temperature reconstruction from these data. Analyses of 12 maximum latewood density (MXD) chronologies indicated that nine chronologies have significant relationships with summer maximum or mean temperatures prior to 1950 and six sites, in the central and southern Yukon, retained a slightly weaker but positive summer signal post-1950. Calibration against a regional temperature record (1938-2002) from the southern Yukon indicates that a regional MXD chronology from these six sites captures ca. 39% of the variance of summer (May-August) maximum temperatures. The first, MXD-based, summer maximum temperature reconstruction (1623-2002) was developed for the Yukon Territory. Most of the reconstruction is characterized by high frequency fluctuations with warmer and cooler intervals lasting rarely more than a decade, although the early portion (1630s-1750s) shows a more extended cooler period. This reconstruction showed similarities with the adjacent St. Elias-Wrangell Mountain reconstruction of July-September mean temperatures from Alaska particularly during the 17th and 19th centuries. These results indicate that MXD data are less influenced by divergence and could form the basis for a long temperature reconstruction in the Yukon

    Dynamical scaling analysis of the optical Hall conductivity in the quantum Hall regime

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    Dynamical scaling analysis is theoretically performed for the ac (optical) Hall conductivity σxy(εF,ω)\sigma_{xy}(\varepsilon_F,\omega) as a function of Fermi energy εF\varepsilon_F and frequency ω\omega for the two-dimensional electron gas and for graphene. In both systems, results based on exact diagonalization show that σxy(εF,ω)\sigma_{xy}(\varepsilon_F,\omega) displays a well-defined dynamical scaling, for which the dynamical critical exponent as well as the localization exponent are fitted and plugged in. A crossover from the dc-like bahavior to the ac regime is identified. The dynamical scaling analysis has enabled us to quantify the plateau in the ac Hall conductivity previously obtained, and to predict that the plateaux structure in ac is robust enough to be observed in the THz regime.Comment: 5 pages, 3 figure

    Differential effects of male nutrient balance on pre- and post-copulatory traits, and consequences for female reproduction in Drosophila melanogaster

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    We thank Fleur Ponton and Stephen J. Simpson for the help during the early stages of the experiment, and Eleanor Bath and Irem Sepil for the help during the experiment. JM is funded by a DPhil scholarship from the Brazilian National Council for Scientific and Technological Development (CNPq) and SW is funded by NERC (NE/J018937/1) and BBSRC (BB/K014544/1) fellowships.Peer reviewedPublisher PD

    The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential

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    As a continuation of our series works on the Boltzmann equation without angular cutoff assumption, in this part, the global existence of solution to the Cauchy problem in the whole space is proved in some suitable weighted Sobolev spaces for hard potential when the solution is a small perturbation of a global equilibrium

    Regularizing effect and local existence for non-cutoff Boltzmann equation

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    The Boltzmann equation without Grad's angular cutoff assumption is believed to have regularizing effect on the solution because of the non-integrable angular singularity of the cross-section. However, even though so far this has been justified satisfactorily for the spatially homogeneous Boltzmann equation, it is still basically unsolved for the spatially inhomogeneous Boltzmann equation. In this paper, by sharpening the coercivity and upper bound estimates for the collision operator, establishing the hypo-ellipticity of the Boltzmann operator based on a generalized version of the uncertainty principle, and analyzing the commutators between the collision operator and some weighted pseudo differential operators, we prove the regularizing effect in all (time, space and velocity) variables on solutions when some mild regularity is imposed on these solutions. For completeness, we also show that when the initial data has this mild regularity and Maxwellian type decay in velocity variable, there exists a unique local solution with the same regularity, so that this solution enjoys the CC^\infty regularity for positive time

    Global existence and full regularity of the Boltzmann equation without angular cutoff

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    We prove the global existence and uniqueness of classical solutions around an equilibrium to the Boltzmann equation without angular cutoff in some Sobolev spaces. In addition, the solutions thus obtained are shown to be non-negative and CC^\infty in all variables for any positive time. In this paper, we study the Maxwellian molecule type collision operator with mild singularity. One of the key observations is the introduction of a new important norm related to the singular behavior of the cross section in the collision operator. This norm captures the essential properties of the singularity and yields precisely the dissipation of the linearized collision operator through the celebrated H-theorem

    Tuning the electrically evaluated electron Lande g factor in GaAs quantum dots and quantum wells of different well widths

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    We evaluate the Lande g factor of electrons in quantum dots (QDs) fabricated from GaAs quantum well (QW) structures of different well width. We first determine the Lande electron g factor of the QWs through resistive detection of electron spin resonance and compare it to the enhanced electron g factor determined from analysis of the magneto-transport. Next, we form laterally defined quantum dots using these quantum wells and extract the electron g factor from analysis of the cotunneling and Kondo effect within the quantum dots. We conclude that the Lande electron g factor of the quantum dot is primarily governed by the electron g factor of the quantum well suggesting that well width is an ideal design parameter for g-factor engineering QDs
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