2010/10/11 by E. V. L. de Mello, de Mello, E. V. L., Raphael B. Kasal +1
Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Superconductivity (cond-mat.supr-con) #Theoretical and Computational Physics #cond-mat.supr-con
paper · pdf · doi:10.48550/arxiv.1010.2151
5 pages, 6 figure, Europhysics Letters format, refs. added
openalex publication_date 2010/10/11 · arxiv created 2010/10/14 · arxiv updated 2010/10/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We show that an electronic phase transition described by the Cahn-Hilliard equation has important applications to cuprate superconductors. The simulations of the local charge density and free energy reveal two main features: i) The segregation process creates tiny isolated regions with potential wells where the holes can be bound in single-particle levels. ii) The clustering process also gives rise to an effective two-body pairing interactions and superconducting amplitudes Δsc( r) at low temperatures. The resulting system resembles a granular superconductor with the resistivity transition driven by Josephson coupling among these nanoscale grains. This approach reproduces the well known critical temperature transition Tc(p) as function of the doping level p. The derived p × T phase diagram reproduces the main features measured by several experiments. Furthermore, the local density of states with spatial dependent gaps Δ( r) is due to the intragrain single-particle bound states that remain above Tc, which characterizes the pseudogap phase and reproduces many measurements.