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arXiv · 1401.4513

The Local Spin Structure of Large Spin Fermions

Tin-Lun Ho·Biao Huang
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Abstract

We show that large spin fermions have very rich spin structures. The local spin order of a spin-$f$ Fermi gas is a linear combination of $2f$ (particle-hole) angular momentum states, $L=1,..,2f$. $L=1, 2$ represent ferromagnetic and nematic spin order, while $L\geq 3$ are higher spin orders that has no analog in spin-1/2 systems. Each $L$ spin sector is characterized as $L$ pairs of antipodal points on a sphere. Model calculations show that some of these spin-orders have the symmetry of Platonic solid, and many of them have non-abelian line defects.

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Tin-Lun Ho, Biao Huang. 2015-03-25. The Local Spin Structure of Large Spin Fermions. https://doi.org/10.1103/physreva.91.043601

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