The Local Spin Structure of Large Spin Fermions

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 $L\ge 3$ 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.

5 pages, Two figures, improved presentation, accepted for publication in PRA

References in corpus (5)

• Quantum degenerate dipolar Fermi gas
• Spontaneously modulated spin textures in a dipolar spinor Bose-Einstein condensate
• Classifying Novel Phases of Spinor Atoms
• Coherent multi-flavour spin dynamics in a fermionic quantum gas
• Inert states of spin-S systems

Cited by in corpus (6)

• Dipolar physics: A review of experiments with magnetic quantum gases
• A long-lived spin-orbit-coupled degenerate dipolar Fermi gas
• Interaction effects with varying $N$ in SU($N$) symmetric fermion lattice systems
• Spin dynamics of large-spin (spinor) fermions in a harmonic trap
• Formation of localized magnetic states in a large-spin Fermi system
• Superfluidity in multicomponent fermions via the functional renormalization group