Critical properties of projected SO(5) models at finite temperatures

Abstract

We consider the projected SO(5) bosonic model introduced in order to connect the SO(5) theory of high-T${}_c$ superconductivity with the physics of the Mott-insulating gap, and derive the corresponding effective functional describing low-energy degrees of freedom. At the antiferromagnetic-superconducting transition, SO(5) symmetry-breaking effects due to the gap are purely quantum mechanical and become irrelevant in the neighborhood of a possible finite-temperature multicritical point separating the normal from the antiferromagnetic and the superconducting phases. A difference in the magnon and hole-pair mobility always takes the system away from the SO(5)-symmetric fixed point towards a region of instability, and the phase transition between the normal and the two ordered phases becomes first order before merging into the antiferromagnetic-superconducting line. Quantum fluctuations at intermediate temperatures, while introducing symmetry-breaking terms in the case of equal mobilities, tend to cancel the symmetry-breaking effects in the case of different mobilities.

11 pages, no figures. Dedicated to Prof. Franz Wegner on the occasion of his 60th birthday

References in corpus (3)

• Multicritical Phenomena of Superconductivity and Antiferromagnetism in Organic Conductor $\kappa$-(BEDT-TTF)${}_2$X
• Interrelation of Superconducting and Antiferromagnetic Gaps in High-Tc Compounds: a Test Case for the SO(5) Theory
• Orthogonality constraints and entropy in the SO(5)-Theory of HighT_c-Superconductivity

Cited by in corpus (10)

• SO(5) Theory of Antiferromagnetism and Superconductivity
• Multicritical phenomena in O(n_1)+O(n_2)-symmetric theories
• Comment on "Bicritical and Tetracritical Phenomena and Scaling Properties of the SO(5) Theory"
• Bicritical and tetracritical phenomena and scaling properties of the SO(5) theory
• Instability of the O(5) multicritical behavior in the SO(5) theory of high-Tc superconductors
• Phase diagram and dynamics of the projected SO(5)-symmetric model of high-$T_c$ superconductivity
• Mott Insulators, No-Double-Occupancy, and Non-Abelian Superconductivity
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Scaling properties of the projected SO(5) model in three dimensions
• O(5) multicriticality in the 3D two flavor SU(2) lattice gauge Higgs model