Phys. Rev. Lett. 91, 186402 (2003) [4 pages]Exact SO(5) Symmetry in the Spin-3/2 Fermionic SystemReceived 12 February 2003; published 28 October 2003 The spin-3/2 fermion models with contact interactions have a 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 U0≤U2≤-3/5U0 (U0≤0), thus making it possible to study different competing orders with high numerical accuracy. This model can be accurately realized in ultracold atomic systems. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.186402
DOI:
10.1103/PhysRevLett.91.186402
PACS:
71.10.Fd, 02.70.Ss, 03.75.Nt, 05.30.Fk
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