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SO(5) Superconductors in a Zeeman Magnetic Field

arXiv:cond-mat/9912261 · doi:10.1103/PhysRevB.62.R791

Abstract

The generic symmetry of a system under a uniform Zeeman magnetic field is U(1) x U(1). However, we show that SO(5) models in the presence of a finite chemical potential and a finite Zeeman magnetic field can have a exact SU(2) x U(1) symmetry. This principle can be used to test SO(5) symmetry at any doping level.