Microscopic Electron Models with Exact SO(5) Symmetry

1997/07/02 by Silvio Rabello, Hiroshi Kohno, Eugene Demler +1 · 5 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.80.3586

published as Phys.Rev.Lett.80:3586,1998 · 5 pages, LATEX, 4 eps figs

arxiv created 1997/07/02 · openalex publication_date 1998/04/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a class of microscopic electron models with exact SO(5) symmetry between antiferromagnetic and d-wave superconducting ground states. There is an exact one-to-one correspondence between both single-particle and collective excitations in both phases. SO(5) symmetry breaking terms can be introduced and classified according to irreducible representation of the exact SO(5) algebra. The resulting phase diagram and collective modes are identical to that of the SO(5) nonlinear \ensuremathσ model.

Citations

• Theory of Superconductivity

Cited by

• SO(5)theory of antiferromagnetism and superconductivity
• Electronic ladders with SO(5) symmetry: Phase diagrams and correlations at half filling
• Phase Diagram of a Superconducting and Antiferromagnetic System with SO(5) Symmetry
• SO(5) superconductor in a Zeeman magnetic field: Phase diagram and thermodynamic properties
• Exact Realization ofSO(5)Symmetry in Extended Hubbard Models