Novel relativistic potential unveils high-temperature superconductors’ elusive phase diagram

This paper explores the vibrational and electronic properties of La2CuO4, a high-temperature superconductor, through the application of a potential derived from special relativity principles. This proposed potential distinguishes between the electric potentials of mobile electrons and stationary nuclei, replacing the traditional Coulomb potential in real-space density functional theory. Using this approach, the study successfully computes the Mott bandgap, the formation of Fermi arcs, and the emergence of charge-density waves. The computational outcomes, along with previous successes in explaining the high-Tc mechanism, highlight the robustness of incorporating this potential into the high-Tc formalism. This integration enables a comprehensive and accurate representation of various phenomena within the phase diagram of high-temperature superconductors. These findings advance the understanding of the fundamental mechanisms underlying high-temperature superconductivity and may accelerate progress toward achieving room-temperature superconductors.