Field Dependencies of the Magnetization

The field dependence of the magnetization for Etrad2Mn2Cu3 is rather peculiar. As expected for a magnet, the zero-field susceptibility (dM/dH)H=0 at 5 K is very large. A magnetization of about 4 N/J (Bohr magneton mol-1) is obtained within a 

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As can be expected from the EO coordination mode of the azido ligand, all these complexes show ferromagnetic coupling. The field dependence of the magnetization in the low temperature region has been interpreted as indicative of metamagnetic behavior. 

Temperature colour mapping in the legend, (b) Field dependence of the magnetization along the chain (full squares) and perpendicular to the chain (open circles). Temperature colour mapping in the legend. (Redrawn from Ref. [122].)... 

Fig. 11 Left experimental XmT vs. T for 10 at Hic of 0.5, 1, 5, 10, and 25 KOe. Right field dependence of the magnetization of 10 at 2 K (open circle) compared with the Brillouin function for seven uncoupled Gd3+ ions (blue line) and the Brillouin function for an S = 42/2 state plus an 5 = 7/2 state red line)...

Fig. 9. Magnetic field dependence of the magnetization at selected temperatures for a 150-nm thick Ga xMn As film with a Mn composition x = 0.03S. The magnetic field is applied parallel to the sample surface (direction of magnetic easy axis) except for the closed circles at 5 K taken in perpendicular geometry. The solid line for S K shows the magnetization determined from transport measurements. The upper left inset shows a magnified view of the magnetization in the parallel field at 5 K. The lower right inset shows the temperature dependence of the remanent magnetization (Ohno et al. 1996a).

Figure 13. Field dependence of the magnetization for two samples of Etrad2Co2Cu3 ( ) the largest crystals (O) the smallest crystals.

Figure 3. Magnetic field dependence of the magnetization of single crystalline copper metaborate with magnetic field parallel to the tetragonal crystal axis for different temperatures.

Figure 10. Magnetic field dependence of the magnetization of single crystalline copper metaborate with magnetic field parallel to the basal plane for different temperatures 1 - 4.2 K, 2 - 5 K, 3 - 8 K, 4 - 9 K, 5 - 10 K, 6 - 12 K, 7 - 15 K, 8 - 18 K.

As can be seen from Fig. 2, hydrogenation induces easy plane anisotropy in TbFeeCosTiH. The [100] direction becomes easy magnetization axis and critical fields are not observed in the field dependences of the magnetization for TbFe6Co5TiH. 

Figure 9 Mossbauer spectra of metallic iron nanoparticles in zeolite NaX taken at T = 77 K and different external fields (a). The analysis of the field dependence of the magnetic hyperfine field according to equation (21) yields a mean particle size of <7 = 2.1 0.1 nm (h). (Reprinted from Schimemann )...

Although in principle every experimental setup that measures the field dependence of the magnetization or a derivative of M could be used to observe the dHvA effect, usually an apparatus with a very high sensitivity has to be designed to resolve the oscillations. An overview of the different experimental techniques is given in Ref. [249], Two main realizations used to detect dHvA oscillations in organic superconductors are the torque and the modulation-field method. 

The origin for this apparent field dependence of rric is not fully understood. However, the nearly perfect two-dimensionality of -(ET)2l3 discussed in Sect. 2.3.3 seems to be the principal reason for the observed strange temperature and field dependence of the magnetic quantum oscillations. It was suggested that in this extremely 2D system quasiparticles with fractional statistics [365] may occur if the cyclotron orbits lie within an individual 2D conducting plane [363]. Since these quasiparticles do not obey Fermi statistics they should not contribute to the quantum oscillations observed. Hence, the effective cyclotron mass determined by the 3D Lifshitz-Kosevich formula could be underestimated. Further experimental verification for this suggestion is lacking. 

Fe"Ni Fg and Co Ni" Fg each have a unit cell size that is appropriate for the formulation. In each M there are two O electrons, and the smaller nuclear charges in combination with this, cause the Co and Fe salts to be progressively larger than Ni Ni Fg table I). The cell of Zn Ni Fg is larger than that of Cu Ni Fg because of the four O electrons of Zn. The pure Zn salt is diamagnetic, but with the more easily oxidized Co and Fe compounds there is pronounced field dependence of the magnetism. This correlates with electron-transfer from M to Ni X... 

FIG. 2. Magnetic-field dependence of the magnetization at a fixed temperature T—5 K. The zero offset is due to the Pyrex capillary in which the sample was sealed. 

Figure 6 illustrates the influence of the JTE on the field dependence of the magnetization. The magnetization vs. perpendicular field at T = 0 is presented as a function of the vibronic coupling parameter v that is assumed to satisfy the condition of instability v > = 4 i5 /3. One can see that provided that v = vq... 

Using theoretical methods specifically adapted to ID problems, hke the matrix transfer method, the field dependence of the magnetization can also be determined [16,17]. In particular, a compact expression is obtained for the infinite Ising chain ... 

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