Ballistic versus diffusive magnetoresistance of a magnetic point contact
L.R. Tagirov, B.P. Vodopyanov, and K.B. Efetov

TL;DR
This paper develops a quasiclassical theory for nanoscale ferromagnetic point contacts, comparing ballistic and diffusive transport, and predicts very high magnetoresistance in the ballistic regime, with implications for experimental realization.
Contribution
It introduces a theoretical framework for understanding magnetoresistance in nanoscale ferromagnetic contacts, highlighting conditions for achieving high values in the ballistic regime.
Findings
Ballistic transport yields magnetoresistance over 300%.
Diffusive transport results in significantly lower magnetoresistance.
Conditions for experimental realization of high magnetoresistance are discussed.
Abstract
The quasiclassical theory of a nanosize point contacts (PC) between two ferromagnets is developed. The maximum available magnetoresistance values in PC are calculated for ballistic versus diffusive transport through the area of a contact. In the ballistic regime the magnetoresistance in excess of few hundreds percents is obtained for the iron-group ferromagnets. The necessary conditions for realization of so large magnetoresistance in PC, and the experimental results by Garcia et al are discussed
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