Abstract
The results of quantum calculations of the current-perpendicular-to-line giant magnetoresistance (CPL GMR) of Co/Cu(001) two-dimensional lateral superlattices are presented. They are obtained from an exact numerical evaluation of the Kubo formula using the electronic structures of Cu and Co monolayers described by $s,p,d$ tight-binding bands. The calculations show that the CPL GMR of two Co wires separated by $N$ atomic lines of Cu is strongly dependent on the Co wire widths and can be as large as 110%. The CPL GMR of finite, perfectly periodic Co/Cu(001) lateral superlattices is found to saturate after 5--6 repeats of the superlattice unit cell and reach a maximum value of $\ensuremath{\approx}$ 350%. Finally, the giant magnetoresistance ratios of superlattices with fluctuating Co wire widths are evaluated and shown to increase linearly with total superlattice length and be of the order of 1000% after 25 repeats of the superlattice unit cell.
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