English

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

Strongly Correlated Electrons 2009-02-20 v4 Superconductivity

Abstract

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 U0U235U0(U00)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.

Keywords

Cite

@article{arxiv.cond-mat/0302165,
  title  = {Exact SO(5) Symmetry in spin 3/2 fermionic system},
  author = {Congjun Wu and Jiang-ping Hu and Shou-cheng Zhang},
  journal= {arXiv preprint arXiv:cond-mat/0302165},
  year   = {2009}
}

Comments

5 pages, 1 figs, more references added

R2 v1 2026-07-22T10:46:38.637Z