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Scaling near the Quantum-Critical Point in the SO(5) Theory of the High- Tc Superconductivity

T. K. Kopeć, T. A. Zaleski

DOI 10.1103/PhysRevLett.87.097002 · Physical Review Letters

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Abstract

We study the quantum-critical point scenario within the unified theory of superconductivity and antiferromagnetism based on the SO(5) symmetry. Closed-form expression for the quantum-critical scaling function for the dynamic spin susceptibility is obtained from the lattice SO(5) quantum nonlinear σ-model in three dimensions, revealing that in the quantum-critical region the frequency scale for spin excitations is simply set by the absolute temperature. Implications for the non-Fermi liquid behavior of the normal-state resistivity due to spin fluctuations in the quantum-critical region are also presented.

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