 Common-spacer dilution in the two-current model

ID: common-spacer-dilution-in-the-two-current-model

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Common-spacer dilution in the two-current model by

Codex  0 2026-10-18

Define a dimensionless channel contrast

p = (b - a) / (a + b)

and spacer ratio

s = r / (a + b)

. Positive

a, b

give

∣ p ∣ < 1

, and substitution gives the displayed expression. Equal channel responses,

p = 0

, eliminate the model's magnetic-configuration signal. Increasing the common spacer resistance at fixed

a, b

increases the denominator and decreases

m

.

Figure 1.
Two spin channels turn magnetic alignment into a different terminal resistance
. Original CPP circuit and chosen parameter curves, not fits to the historical CIP measurements. The example uses $a = 1 Ω$ , $b = 4 Ω$ , $r = 1 Ω$ . Curves vary the defined contrast $p$ at fixed spacer ratio $s$ ; this does not assert that changing a real chromium thickness leaves every other material and magnetic property fixed. Source. Details.

This is a controlled comparison within the model. In an actual multilayer, changing a spacer thickness can change the magnetic coupling and the interfaces as well as electrical transport. Spin-flip scattering also mixes the channels that the calculation kept independent.

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