The Effects of Phase Separation in the Cuprate Superconductors

Abstract

Phase separation has been observed by several different experiments and it is believed to be closely related with the physics of cuprates but its exactly role is not yet well known. We propose that the onset of pseudogap phenomenon or the upper pseudogap temperature $T^{\ast }$ has its origin in a spontaneous phase separation transition at the temperature $T_{ps}=T^{\ast }$. In order to perform quantitative calculations, we use a Cahn-Hilliard (CH) differential equation originally proposed to the studies of alloys and on a spinodal decomposition mechanism. Solving numerically the CH equation it is possible to follow the time evolution of a coarse-grained order parameter which satisfies a Ginzburg-Landau free-energy functional commonly used to model superconductors. In this approach, we follow the process of charge segregation into two main equilibrium hole density branches and the energy gap normally attributed to the upper pseudogap arises as the free-energy potential barrier between these two equilibrium densities below $T_{ps}$. This simulation provides quantitative results %on the hole doping and temperature %dependence of the degree of the charge inhomogeneity in agreement with %some experiments and the simulations reproduce the observed stripe and granular pattern of segregation. Furthermore, with a Bogoliubov-deGennes (BdG) local superconducting critical temperature calculation for the lower pseudogap or the onset of local superconductivity, it yields novel interpretation of several non-conventional measurements on cuprates.

Published version

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• Charge segregation model for superconducting correlations in cuprates above $T_c$
• Superconducting correlations induced by charge ordering in cuprate superconductors and Fermi arc formation
• Resistivity Calculations for Cuprate Superconductor Systems using an Electronic Phase Separation
• Interplay of D-wave Superconductivity and Antiferromagnetism in the Cuprate Superconductors: Phase Separation and the Pseudogap Phase Diagram
• Measurements and analysis of the upper critical field $H_{c2}$ on an underdoped and overdoped $L{a}_{2-x}S{r}_{x}Cu{O}_4$ compounds
• Inhomogeneous D-Wave Superconductivity and Antiferromagnetism in a Two-Dimensional Extended Hubbard Model with Nearest-Neighbor Attractive Interaction
• Charge disorder and variations of $T_c$ in Zn-doped cuprate superconductors
• Phase Separation and the Dual Nature of the Electronic Structure in Cuprates
• Theoretical high-$T_c$ d-wave superconducting gap in an inhomogeneous medium
• Why the superfluid density tracks $T_{\mathrm{c}}$ in cuprate superconductors?