What's more, the emergence of exotic effects including novel magnetism, spin density
waves and topological states have also been predicted.
The observed ordering of the magnetic moments was explained in terms of the spin density
Finally, the Heaviside step function [THETA](t - t') in (1) reflects causality and ensures that the spin density
at time t is only influenced by the magnetic field at times t' < t, if the dynamic spin susceptibility is interpreted as the linear spin-density response function by means of Kubo's formula.
initially predicted FM with a high Curie temperature ([T.sub.c]) in p-type Mn-doped ZnO via local spin density
approximation [7, 8] while simulations by Sato and Katayama-Yoshida predicted FM in V-, Cr-, Fe-, Co-, and Ni-doped ZnO, but suggested that Mn doping by itself may not be sufficient to induce FM , a conjecture that has been supported by local spin density
approximation [ 10], B3LYP hybrid density functional method , and gradient corrected functional density theory .
The natural bond orbital (NBO) analysis of charge and the spin density
of radicals of the molecular system studied were computed at B3LYP/6-31+G(d,p) level of the theory.
Here, VWN: Vosko, Wilk, and Nusair 1980 correlation functional(III) fitting the random phase approximation ( RPA ) solution to the uniform electron gas, often referred to as Local Spin Density
(LSD) correlation  (functional III in this article).
Figure 3 shows the spin density
distributions of bulk [Fe.sub.2]Si under various strains.
The quality of the MRI images depends on three NMR main parameters (the proton spin density
, the nuclear spin-lattice relaxation time T1, and the spin-spin relaxation time T2), and the contrast agents (CAs), based on the different distribution of nuclear-spin density along the body, are able to improve the image contrast by increasing (locally) the nuclear relaxation rates .
Weiss, who has been intimately involved in the effort to verify the predictions of quantum mechanics by describing the positions, momenta and spin density
of electrons on atoms, was also the original organizer of the Sagamore Conferences, in which thousands of researchers participated in studying the complexity of electron arrangements.
The spin polarization of the tunneled electrons through the junction gives rise to a nonequilibrium spin density
in the superconductor.
Single vertical spin density
The form of the phase spectrum and corresponding expressions for the asymmetries are obtained on the basis of a formalism of a spin density