Nanomagnetic Models

Center for Materials Research and Analysis and Department of Physics and Astronomy University of Nebraska Lincoln, NE 68588, USA 

Abstract The atomic-scale and mesoscopic physics of magnetic nanostructures is reviewed. 

This chapter investigates how intrinsic and extrinsic properties are affected by nanostructuring. Emphasis is on model calculations and analytical approximations, as contrasted to Chapter 2 by Kashyap et al. which focuses on numerical calculations, and Ch. 4 by Schrefl et al., where emphasis is on micromagnetic models and simulations. Section 2 is devoted to static properties, whereas section 3 is concerned with magnetization dynamics. Finally, section 4 presents a number of case studies. 

To a large extent, the spin structure of bulk and nanomagnets is determined by the interatomic Heisenberg exchange,. /(R, - Rj) S,-Sj = Jn S.-S,. For 

A simple and asymptotically correct [26-28] model is the Ruderman-Kittel-Kasuya-Yosida or RKKY exchange between two localized moments in a Pauli-paramagnetic matrix. For a free-electron gas of wave-vector kF, 

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