Exact SO(5) symmetry in the spin-3/2 fermionic system
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Updated: Aug 16, 2026

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
Published on: June 28, 2018
Congjun Wu1, Jiang-ping Hu, Shou-cheng Zhang
1Department of Physics, McCullough Building, Stanford University, Stanford, CA 94305-4045, USA.
Abstract:
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.
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