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Charge dynamics of t-J model and anomalous bond-stretching phonons in cuprates

P. Horsch·G. Khaliullin
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Abstract

The density response of a doped Mott-Hubbard insulator is discussed starting from the t-J model in a slave boson 1/N representation. In leading order O(1) the density fluctuation spectra $N({\bf q},ω)$ are determined by an undamped collective mode at large momentum transfer, in striking disagreement with results obtained by exact diagonalization, which reveal a very broad dispersive peak, reminescent of strong spin-charge coupling. The 1/N corrections introduce the polaron character of the bosonic holes moving in a uniform RVB background. The resulting $N({\bf q},ω)$ captures all features observed in diagonalization studies, fulfills the appropriate sum rules, and apart from the broadening of the collective mode shows a new low energy feature at the energy $χJ+δt$ related to the polaron motion in the spinon background. It is further shown that the low energy structure, which is particularly pronounced in $(π,0)$ direction, describes the strong renormalization and anomalous damping of the highest bond-stretching phonons in La$_{2-x}$Sr$_x$CuO$_4$.

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P. Horsch, G. Khaliullin. 2003-12-21. Charge dynamics of t-J model and anomalous bond-stretching phonons in cuprates. https://doi.org/10.1063/1.1639577

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