SO(5) Invariance and Effective Field Theory for High-Tc Superconductors

Abstract

We set up the effective field theories which describe the SO(5)-invariant picture of the high-Tc cuprates in various regimes. We use these to get quantitative conclusions concerning the size of SO(5)-breaking effects. We consider two applications in detail: (i) the thermodynamic free energy, which describe the phase diagram and critical behaviour, and (ii) the Lagrangian governing the interactions of the pseudo-Goldstone bosons with each other and with the electron quasiparticles deep within the ordered phases. We use these effective theories to obtain predictions for the critical behaviour near the possible bicritical point and the pseudo-Goldstone boson dispersion relations, as well as some preliminary results concerning their contribution to response functions. We systematically identify which predictions are independent of the microscopic details of the underlying electron dynamics, and which depend on more model-dependent assumptions.

40 pages, plain TeX, companion article for the letter cond-mat/9611070

References in corpus (3)

• Superconducting Vortex with Antiferromagnetic Core
• Finite-Size Studies on the SO(5) Symmetry of the Hubbard Model
• Is the pi-particle responsible for the 41 meV peak in YBa_2Cu_3O_7?

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• Instability of the O(5) multicritical behavior in the SO(5) theory of high-Tc superconductors
• Spontaneous Magnetization of an Ideal Ferromagnet: Beyond Dyson's Analysis
• Thermodynamics of O(N) Antiferromagnets in 2+1 Dimensions
• Critical properties of projected SO(5) models at finite temperatures
• A Microscopic Derivation of the SO(5)-Symmetric Landau-Ginzburg Potential
• Superconducting and Anti-Ferromagnetic Phases of Spacetime
• Abelian and center gauge fixing in continuum Yang-Mills-Theory for general gauge groups
• SO(5) Symmetry in t-J and Hubbard Models
• Electromagnetic Response and Approximate SO(5) Symmetry in High-Tc Superconductors