Charge dynamics and optical conductivity of the t-J model

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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A more detailed discussion on the doping dependence of the results is added. Aspects of the decoupling procedure is clarified

Scientific paper


The dynamic charge susceptibility and the optical conductivity are calculated in the planar t-J model within the memory function method, working directly in terms of Hubbard operators. The density fluctuation spectrum consists of a damped sound-like mode for small wave vectors and a broad high energy peak ($\sim t$) for large momenta. The study of the optical conductivity shows that electron scattering from spin fluctuations leads to the Drude-frequency dependent relaxation rate which exhibits a crossover from $\omega^{3/2}$ behavior at low frequencies ($\omega <2|\mu|$), to a linear $\omega$-dependence for frequencies larger than $2|\mu|$. Due to the spin-polaron nature of charge carriers, extra absorbtions arise starting at a frequency $\omega \agt J$. The obtained results are in a good agreement with exact diagonalization studies.

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