Exact SO(5) symmetry in the spin-3/2 fermionic system.
The spin-3/2 fermion models with contact interactions have a generic SO5 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< or = U2< or = -3/5 U0 (U0< or = 0), thus making it possible to study different competing orders with high numerical accuracy. This model can be accurately realized in ultracold atomic systems.
Wu
Congjun
C
Department of Physics, McCullough Building, Stanford University, Stanford, CA 94305-4045, USA.
Hu
Jiang-ping
JP
Zhang
Shou-cheng
SC