Conductivity galvanomagnetic properties

The galvanomagnetic properties of nanocomposites and their conductivity, in particular, near the percolation transition can be described within the two-component model developed for the case by Efros and Shklovskii [73] on the basis of Dykhne theory [74]. This theory was developed just for the description of materials containing two different components with sharp distinction for conductivity values (Dykhne media) and describes well the concentration dependence of the effective conductivity in the case of the classical grain sizes and so in the absence of quantum effects. However, even if quantum effects do not play an essential role, the adequate description of the conductivity dependence on temperature has not been elaborated till now. The reason is that numerous experimental results for granules, with the metal contents x[Pg.612]

There has been a number of attempts [116,117] to analyze galvanomagnetic properties of inhomogeneous media. The effective conductivity tensor S was... 

The transformations (286) allow one [118,119] to calculate the effective galvanomagnetic properties of a 2D inhomogeneous medium when conductivity fluctuates only, and the Hall factors of the components are equal that is, cti / c>2, Pi = p2. If we apply complementarity—that is, in the first phase (cr. p ) we have cr = cr2. p = — p2, and in the second phase (a2, p2) we have a a. p = — pj—then we shall obtain the following results for the effective Hall properties ... 

In order to describe the critical behavior of the galvanomagnetic properties quantitatively, we now define the logarithmic derivatives Xa(p)> Xr(p) °f the conductivity and of HalTs coefficient as... 

---