Checkerboard and stripe inhomogeneities in cuprates

Abstract

We systematically investigate charge-ordering phases by means of a restricted and unrestricted Gutzwiller approximation to the single-band Hubbard model with nearest ($t$) and next-nearest neighbor hopping ($t^{\prime }$). When $|t^{\prime }/t|$ is small, as appropriate for $\mathrm{L}{\mathrm{a}}_{2-\mathrm{x}}\mathrm{S}{\mathrm{r}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_4$, stripes are found, whereas in compounds with larger $|t^{\prime }/t|$ (such as $\mathrm{C}{\mathrm{a}}_{2-\mathrm{x}}\mathrm{N}{\mathrm{a}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_2\mathrm{C}{\mathrm{l}}_2$ and $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$) checkerboard structures are favored. In contrast to the linear doping dependence found for stripes the charge periodicity of checkerboard textures is locked to 4 unit cells over a wide doping range. In addition we find that checkerboard structures are favored at surfaces.

arXiv comment5 pages, 3 figures

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• Momentum-space electronic structures and charge orders of high-temperature superconductors Ca2-xNaxCuO2Cl2 and Bi2Sr2CaCu2O8+delta
• Effect of long-range hopping on Tc in a two-dimensional Hubbard-Holstein model of the cuprates
• Is there any hidden symmetry in the stripe structure of perovskite high temperature superconductors?
• Single domain stripe order in a high-temperature superconductor
• Stripes in cuprate superconductors: Excitations and dynamic dichotomy
• Spin canting as a result of the competition between stripes and spirals in cuprates
• Incompatibility of modulated checkerboard patterns with the neutron scattering resonance peak in cuprate superconductors
• Polar Kerr effect from a time-reversal symmetry breaking unidirectional charge density wave
• Slave-boson based configuration-interaction approach for the Hubbard model
• Unveiling Stripe-shaped Charge Density Modulations in Doped Mott Insulators
• The fermi arc and fermi pocket in cuprates in a short-range diagonal stripe phase