Interplay between antiferromagnetism and superconductivity in two-dimensional Hubbard model Original Research Article

Using a variational Monte Carlo method, we discuss the interplay between antiferromagnetism (AF) and superconductivity (SC) in a Hubbard model on a square lattice with a diagonal transfer t′t′. We simultaneously introduce the following improvements into the trial function: (1) coexistence of AF and d -wave singlet gaps that allows a continuous description of their interplay, (2) band renormalization effect in the range of fourth-neighbor hopping, and (3) refined doublon–holon correlation factors. For t′/t=-0.3t′/t=-0.3, appropriate to hole-doped cuprates, it is found that AF ordered state is stabilized near half filling, especially, for U∼U∼ band width, by retrieving the nesting condition. As the doping rate increases, AF is weakened and a pure d -wave SC phase evolves for large U . The coexisting state of SC and AF orders appears only in a narrow range of U (∼∼ band width) and electron density n (=0.8=0.8).