Two-Particle Response in Cluster Dynamical Mean-Field Theory: Formalism and Application to the Raman Response of High-Temperature Superconductors

Nan Lin; Emanuel Gull; Andrew J. Millis

doi:10.1103/PhysRevLett.109.106401

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Two-Particle Response in Cluster Dynamical Mean-Field Theory: Formalism and Application to the Raman Response of High-Temperature Superconductors

Nan Lin, Emanuel Gull, Andrew J. Millis

DOI 10.1103/PhysRevLett.109.106401 · Physical Review Letters

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Abstract

A method is presented for the unbiased numerical computation of two-particle response functions of correlated electron materials via a solution of the dynamical mean-field equations in the presence of a perturbing field. The power of the method is demonstrated via a computation of the Raman B1g and B2g scattering intensities of the two-dimensional Hubbard model in parameter regimes believed to be relevant to high-temperature superconductivity. The theory reproduces the “two-magnon” peak characteristic of the Raman intensity of insulating parent compounds of high-Tc copper oxide superconductors, and shows how it evolves to a quasiparticle response, as carriers are added. The method can be applied in any situation where a solution of equilibrium dynamical mean-field equations is feasible.