Ring-like shaped charge modulations in the t-J model with long-range Coulomb interaction

Abstract

The study of the charge excitations in cuprates is presently an interesting topic because of the development of new and precise x-ray experiments. Based on a large-$N$ formulation of the two-dimensional $t$-$J$ model, which allows us to consider all possible charge excitations on an equal footing, we investigate the charge spectrum for both electron- and hole-doped cases. In both cases, the instability toward phase separation, which has momentum modulation $\mathbf{q}=(0,0)$, is found to be robust in a large region of the doping-temperature phase diagram. If a short-range Coulomb repulsion is included the phase separation region shrinks, but the instability remains at $\mathbf{q}=(0,0)$. If on the other hand a two-dimensional long-range Coulomb interaction is included the instability sets in at $\mathbf{q}$ momenta forming a ring around $\mathbf{q}=(0,0)$. The computed charge spectrum in the translation-invariant phase shows well-formed rings. We discuss our results in the light of recent x-ray experiments in electron- and hole-doped cuprates, where ring-like shaped charge modulations have been reported.

21 pages, 8 figures

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Cited by in corpus (5)

• Low-energy quasi-circular electron correlations with charge order wavelength in ${\text{Bi}}_2{\text{Sr}}_2\text{Ca}{\text{Cu}}_2{\text{O}}_{8+\delta }$
• Interplay of spin and charge order in the electron-doped cuprates
• Phase Diagram of the Square-Lattice $t$-$J$-$V$ Model for Electron-Doped Cuprates
• Dynamic charge order from strong correlations in the cuprates
• Pairing phase diagram for electron-doped cuprates in the square-lattice $t-U-V$ Hubbard model