A Microscopic Derivation of the SO(5)-Symmetric Landau-Ginzburg Potential

Details A Microscopic Derivation of the SO(5)-Symmetric Landau-Ginzburg Potential A Microscopic Derivation of the SO(5)-Symmetric Landau-Ginzburg Potential

1997-07-28

arxiv.org/abs/cond-mat/9707290v2

Phys.Rev. B57 (1998) 8549-8559

Physics

Condensed Matter

Superconductivity

29 pp., plain TeX, 7 figures, uses macros.tex (included) and epsf.tex; added subject class

Scientific paper

10.1103/PhysRevB.57.8549

We construct a microscopic model of electron interactions which gives rise to both superconductivity and antiferromagnetism, and which admits an approximate SO(5) symmetry that relates these two phases. The symmetry can be exact, or it may exist only in the long-wavelength limit, depending on the detailed form of the interactions. We compute the macroscopic Landau-Ginzburg free energy for this model as a function of temperature and doping, by explicitly integrating out the fermions. We find that the resulting phase diagram can resemble that observed for the cuprates, with the antiferromagnetism realized as a spin density wave, whose wavelength might be incommensurate with the lattice spacing away from half filling.

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