Magnetic correlation functions in SO(5) theory of high-Tc superconductivity

T. A. Zaleski; T. K. Kopeć

doi:10.1103/PhysRevB.64.144522

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Magnetic correlation functions in SO(5) theory of high-Tc superconductivity

T. A. Zaleski, T. K. Kopeć

DOI 10.1103/PhysRevB.64.144522 · Physical Review B

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Abstract

In this paper we present analytical calculations of a variety of magnetic correlation functions within Zhang’s SO(5) quantum rotor theory of high-Tc superconductivity. Using the spherical approach for three-dimensional quantum rotors we derived explicit analytical formulas for variety of dynamic spin susceptibilities related to the lattice version of the SO(5) nonlinear quantum-sigma model. We show in detail the frequency dependence of these quantities for various settings of relevant control parameters (like temperature, quantum fluctuations) in normal and superconducting state. We found the results in overall qualitative agreement with basic phenomenology of high-Tc cuprates.