d-wave superconducting pairing symmetry in doped checkerboard lattice

To understand strong correlated electron states in a checkerboard lattice is an important problem． In frustrated systems, quantum Monte Carlo simulation often suffers the sign problem． We use constrained path quantum Monte Carlo (CPQMC) method to effectively avoid the sign problem, and study superconducting pairing correlation in doped Hubbard model on a checkerboard lattice． Superconducting pairing correlation function with d-wave symmetry is found to dominate over other symmetries． The d-wave pairing correlation function increases with next-nearest neighbor hopping strength’ decreases, and increases when the Coulomb interaction increases． These data provide some valid points for further theoretical research on correlation effect and superconductivity in superconductors, and also provide ideas for understanding relationship between frustration and superconductivity．