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Introduction to Nanotechnology

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7.6. GIANT AND COLOSSAL MAGNETORESISTANCE 181<br />

could be the source of conduction electrons, which might bring about itinerant<br />

ferromagnetism. ltinerant ferromagnetism corresponds <strong>to</strong> ferromagnetism from a<br />

spin that can move through the lattice. The result has not yet been confirmed by other<br />

researchers.<br />

7.6. GIANT AND COLOSSAL MAGNETORESISTANCE<br />

Magne<strong>to</strong>resistance is a phenomenon where the application of a DC magnetic field<br />

changes the resistance of a material. The phenomenon has been known for many<br />

years in ordinary metals, and is due <strong>to</strong> the conduction electrons being forced <strong>to</strong> move<br />

in helical trajec<strong>to</strong>ries about an applied magnetic field. The effect becomes evident<br />

only when the magnetic field is strong enough <strong>to</strong> curve the electron trajec<strong>to</strong>ry within<br />

a length equal <strong>to</strong> its mean free path. The mean free path is the average distance an<br />

electron travels in a metal when an electric field is applied before it undergoes a<br />

collision with a<strong>to</strong>ms, defects, or impurity a<strong>to</strong>ms. The resistance of a material is the<br />

result of the scattering of electrons out of the direction of current flow by these<br />

collisions. The magne<strong>to</strong>resistance effect occurs in metals only at very high magnetic<br />

fields and low temperatures. For example, in pure copper at 4 K a field of 10 T<br />

produces a fac<strong>to</strong>r of 10 change in the resistance.<br />

Because of the large fields and low temperatures, magne<strong>to</strong>resistance in metals<br />

originally had few potential application possibilities. However, that changed in 1988<br />

with the discovery of what is now called giant magne<strong>to</strong>resistance (GMR) in<br />

materials synthetically fabricated by depositing on a substrate alternate layers of<br />

nanometer thickness of a ferromagnetic material and a nonferromagnetic metal. A<br />

schematic of the layered structure and the alternating orientation of the magnetiza-<br />

tion in the ferromagnetic layer is shown in Fig. 7.15a. The effect was first observed<br />

in films made of alternating layers of iron and chromium, but since then other<br />

layered materials composed of alternating layers of cobalt and copper have been<br />

made that display much higher magne<strong>to</strong>resistive effects. Figure 7.16 shows the effect<br />

of a DC magnetic field on the resistance of the iron-chromium multilayered system.<br />

The magnitude of the change in the resistance depends on the thickness of the iron<br />

layer, as shown in Figure 7.17, and it reaches a maximum at a thickness of 7 nm.<br />

The effect occurs because of the dependence of electron scattering on the<br />

orientation of the electron spin with respect <strong>to</strong> the direction of magnetization.<br />

Electrons whose spins are not aligned along the direction of the magnetization Mare<br />

scattered more strongly than those with their spins aligned along M. The application<br />

of a DC magnetic field parallel <strong>to</strong> the layers forces the magnetization of all the<br />

magnetic layers <strong>to</strong> be in the same direction. This causes the magnetizations pointing<br />

opposite <strong>to</strong> the direction of the applied magnetic field <strong>to</strong> become flipped. The<br />

conduction electrons with spins aligned opposite <strong>to</strong> the magnetization are more<br />

strongly scattered at the metal-ferromagnet interface, and those aligned along the<br />

field direction are less strongly scattered. Because the two spin channels are in<br />

parallel, the lower-resistance channel determines the resistance of the material.

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