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Quantum Magnetism and Quantum Entanglement

Note - IPM

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Jahanfar Abouie<br />

Adv Cond Mat<br />

Smr School<br />

2012-IPM<br />

17/<br />

Theory of magnetism-Interactions<br />

Indirect exchange in metals: RKKY interaction or itinerant exchange<br />

Exchange interaction between magnetic ions mediated by conduction electrons.<br />

~ (2 )<br />

<br />

Oscillatory behavior: depending on the separation, ferromagnetic or antiferromagnetic<br />

Double exchange<br />

Some oxides (Magnetite <strong>and</strong> Manganite ( ≤ ≤ )) have<br />

ferromagnetic order<br />

Occurs where magnetic ion can show mixed valency<br />

Fe ↔ Fe <br />

Mn ↔ Mn

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