The Disordered Induced Interaction and the Phase Diagram of Cuprates

Abstract

There are processes in nature that resemble a true force but arise due to the minimization of the local energy. The most well-known case is the exchange interaction that leads to magnetic order in some materials. We discovered a new similar process occurring in connection with an electronic phase separation transition that leads to charge inhomogeneity in cuprate superconductors. The minimization of the local free energy, described here by the Cahn-Hilliard diffusion equation, drives the charges into regions of low and high densities. This motion leads to an effective potential with two-fold effect: creation of tiny isolated regions or micrograins, and two-body attraction, which promotes local or intra-grain superconducting pairing. Consequently, as in granular superconductors, the superconducting transition appears in two steps. First, with local intra-grain superconducting amplitudes and, at lower temperature, the superconducting phase or resistivity transition is attained by intergrain Josephson coupling. We show here that this approach reproduces the main features of the cuprates phase diagram, gives a clear interpretation to the pseudogap phase and yields the position dependent local density of states gap $\Delta (\vec{r})$ measured by tunnelling experiments.

15 pages 10 figs

References in corpus (10)

• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Two Gaps Make a High Temperature Superconductor?
• Scale-free structural organization of oxygen interstitials in La2CuO4+y
• Electronic Origin of the Inhomogeneous Pairing Interaction in the High-Tc Superconductor Bi2Sr2CaCu2O8+d
• Extending Universal Nodal Excitations Optimizes Superconductivity in Bi2Sr2CaCu2O8+d
• Observation of a d-wave nodal liquid in highly underdoped Bi_2Sr_2CaCu_2O_{8+δ}
• Inhomogeneous Magnetic-Field Response of YBa2Cu3Oy and La2-xSrxCuO4 Persisting above the Bulk Superconducting Transition Temperature
• Doping Dependence of Two Energy Scales in the Tunneling Spectra of Superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Nutation versus angular dependent NQR spectroscopy and the impact of underdoping on charge inhomogeneities in YBa${}_2$Cu${}_3$O${}_y$
• 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

Cited by in corpus (13)

• Intrinsic arrested nanoscale phase separation near a topological Lifshitz transition in strongly correlated two-band metals
• Theory of the Fermi Arcs, the Pseudogap, $T_c$ and the Anisotropy in k-space of Cuprate Superconductors
• Comment on 'Diamagnetism and Cooper pairing above Tc in cuprates'
• Charge segregation model for superconducting correlations in cuprates above $T_c$
• A framework for the description of charge order, pseudo and superconducting gap, critical temperature and pairing interaction in cuprate superconductors
• Calculations of quantum oscillations in cuprate superconductors considering the pseudogap
• Evidence that cuprate superconductors form an array of nanoscopic Josephson junctions
• Weak magnetic order in high-Tc superconductors produced by spontaneous Josephson currents
• The role of the pseudogap in cuprate superconductors revealed by the Hall effect
• Unified model of the Hall effect from insulator to overdoped compounds in cuprate superconductors
• The Ba${}_{0.6}$K${}_{0.4}$Fe${}_2$As${}_2$ superconducting four-gap temperature evolution: a multi-band Chebyshev-BdG approach
• Charge disorder and variations of $T_c$ in Zn-doped cuprate superconductors
• Why the superfluid density tracks $T_{\mathrm{c}}$ in cuprate superconductors?