Cooper problem in a cuprate lattice

2021/10/06 by Ali Sanayei, Ludwig Mathey, Sanayei, Ali +1
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Cold Atom Physics and Bose-Einstein Condensates #Advanced Chemical Physics Studies

paper · pdf · doi:10.48550/arxiv.2110.02734

Abstract

We solve the Cooper problem in a cuprate lattice by utilizing a three-band model. We determine the ground state of a Cooper pair for repulsive on-site interactions, and demonstrate that the corresponding wave function has an orbital d_x²-y² symmetry. We discuss the influence of next-nearest-neighbor tunneling on the Cooper pair solution, in particular the necessity of next-nearest-neighbor tunneling for having d-wave pairs for hole-doped systems. We also propose experimental signatures of the d-wave Cooper pairs for a cold-atom system in a cuprate lattice.

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