Effects of disorder on lattice Ginzburg-Landau model of d-wave superconductors and superfluids

Abstract

We study the effects of quenched disorder on the two-dimensional d-wave superconductors (SC's) at zero temperature by Monte-Carlo simulations. The model is defined on the three-dimesional (3D) lattice and the SC pair field is put on each spatial link as motivated in the resonating-valence-bond theory of the high-$T_{\mathrm{c}}$ SC's. For the nonrandom case, the model exhibits a second-order phase transition to a SC state as density of charge carriers is increased. It belongs to the universality class {\it different from} that of the 3D XY model. Quenched disorders (impurities) are introduced both in the hopping amplitude and the plaquette term of pair fields. Then the second-order transition disappears at a critical concentration of quenched disorder, $p_c\simeq 15$. Implication of the results to cold atomic systems in optical lattices is also discussed.

4 pages, 8 figures

References in corpus (2)

• d-wave resonating valence bond states of fermionic atoms in optical lattices
• Critical and multicritical behavior of the +- J Ising model in two and three dimensions