Exact SO(5) Symmetry in spin 3/2 fermionic system

Details Exact SO(5) Symmetry in spin 3/2 fermionic system Exact SO(5) Symmetry in spin 3/2 fermionic system

2003-02-09

arxiv.org/abs/cond-mat/0302165v4

Phys.Rev.Lett.91:186402,2003

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 1 figs, more references added

Scientific paper

10.1103/PhysRevLett.91.186402

The spin 3/2 fermion models with contact interactions have a {\it generic} SO(5) symmetry without any fine-tuning of parameters. Its physical consequences are discussed in both the continuum and lattice models. A Monte-Carlo algorithm free of the sign problem at any doping and lattice topology is designed when the singlet and quintet interactions satisfy $U_0\le U_2\le -{3\over5} U_0 (U_0\le 0)$, thus making it possible to study different competing orders with high numerical accuracy. This model can be accurately realized in ultra-cold atomic systems.

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