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Atomically Assembled Quantum Spin Lattices Sander Otte

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Magnetic Anisotropy<br />

Magnetic field along nitrogen direction<br />

Magnetic field along vacancy direction<br />

Magnetic field along vacancy direction<br />

Ĥ = gµ B B · Ŝ + DŜ2 z + E<br />

⇣Ŝ2 x Ŝ 2 y<br />

⌘<br />

For Fe: S = 2, D = −1.55 meV, E = 0.31 meV, g = 2.11<br />

D < 0 means easy-axis anisotropy<br />

0<br />

• <strong>Spin</strong> prefers the z-axis for magnetization<br />

1 -1<br />

• Ground state has large |m z |<br />

2<br />

-2<br />

along nitrogen direction <br />

D > 0 means hard-axis anisotropy<br />

2<br />

-2<br />

• <strong>Spin</strong> dislikes the z-axis for magnetization<br />

1 -1<br />

• Ground state has small |m z |<br />

0<br />

Hirjibehedin et al. Science 317, 1199 (2007)<br />

© 2012 <strong>Sander</strong> <strong>Otte</strong> http://ottelab.tudelft.nl

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