Magnetic susceptibility ofd-band transition metals that are not magnetically ordered

Abstract

We are studying the response of a strip-type LiTaO 3 shear wave resonator in polymer liquid in MHz range. The element size is small (1:0 Â 7:4 Â 0:49 mm 3 ). The side surfaces of the resonator were covered with a highly viscous silicone rubber material. Using Newton fluid theory, the characteristic mechanical impedance of the shear wave in the liquid was derived for the equivalent circuit of the resonator. The analytical values of glycerin were roughly consistent with the experiment using only 0.1 cm 3 . The polymer liquid used for the measurement was silicone oil. The static viscosity was from 9.8 to 94,720 mPaÁs. The resonance frequency change was from 0.05% to 0.07%. The resonance resistance change was from 57 to 190 . The experiment results were examined using Mason's equivalent circuit with Maxwell model of a viscoelastic polymer.

Magnetic-field-induced effects in the electronic structure of itinerant d- and f-metal systems

“…We emphasize that the sign and order of magnitude of Δχ are always reproduced for the hcp transition metals in the framework of our field-induced band structure calculations. As seen from Table 2, the sign of the experimental anisotropy of the magnetic susceptibility [27,32] is positive in Ti, Zr, and Hf (group IVA), but Δχ is negative in Sc, Y, Lu (group IIIA), Re (group VIIA), Ru and Os (group VIIIA). The absolute values of the calculated anisotropy are also in a qualitative agreement with the experiment, with allowance made for the observed [27,32] strong temperature dependence of Δχ.…”

Electronic structure and magnetic susceptibility of monoclinic α-plutonium

“…To estimate the magnetic susceptibility, in addition to the spin susceptibility χ s , we took into account the orbital contribution χ orb of the Van Vleck type (see, e.g., [17]):…”

“…To estimate the orbital contribution to spin suscep tibility (1), we used the Van Vleck formula (see, e.g., [17]) modified by taking into account the spin fluctu ation renormalization of the electron energies [16]: (5) Here, N l is the orbital degeneracy of the states of the lth band (l = f, d), 2n l is the population of the lth band, and Δ l is the average energy distance between the mul tiplets of the lth band.…”

The thermodynamical limit of strongly correlated systems obtained from small-size-cluster calculations

“…They have also been used to study its other properties. These methods include diagrammatic summation [4], bosonization [5], renormalization group [6,7] and conformal approaches [8,9]. This has permitted a detailed knowledge of the problem to be obtained.…”