d-CDW fluctuations and self energy effects on the temperature and doping dependence of the Fermi arcs, the scattering rate and the superconducting critical temperature of cuprates.

BUZON GUILLERMO

Rio de Janeiro

Congreso; 6TH I2CAM/FAPERJ Spring School; 2013

At mean-field level the $t$-$J$ model shows a phase diagram with close analogies to the phase diagram of  hole-doped cuprates. An order parameter associated with the flux or $d$-charge density wave ($d$-CDW) phase competes and coexists with superconductivity at low doping $delta$, showing characteristics identified with the observed pseudogap (PG) in cuprates. In the $d$-CDW state the Fermi surface is reconstructed toward pockets with low spectral weight in the outer part, resembling the arcs observed in angle-resolved photoemision spectroscopy experiments (ARPES). Including self-energy corrections beyond the mean field, we found that the self-energy can be written as two distinct contributions: one (called $Sigma_{flux}$) dominates at low energy and originates from the scattering between carriers and $d$-CDW fluctuations in proximity to the $d$-CDW instability. The second dominates at large energy and originates from the scattering between charge fluctuations under the constraint of nondouble occupancy. It is shown that $Sigma_{flux}$ is responsible for the origin of low-energy features in the spectral function as PG and Fermi arcs. In addition the recent findings about two distinct quasiparticle inelastic scattering rates in angle-dependent magnetoresistance (ADMR) experiments in overdoped high-T$_c$ cuprates have motivated many discussions related to the link between superconductivity, PG, and transport properties in these materials. The obtained two distinct self-energy contribution defines two scattering rates that show the main features observed in ADMR experiments and the $delta$ and temperature dependence of the resistivity. Finaly, the $t$-J model shows $d$-wave superconductivity with T$_c$ increasing with decreasing $delta$ wich is mediated by non-retarded interactions. It was shown that the inclusion of $Sigma_{flux}$ in a Eliashberg formalism shows a dome shape for T$_c$ which correlated with the PG