Physics – Condensed Matter – Superconductivity
Scientific paper
2008-12-26
Physical Review B 79 (2009) 092508
Physics
Condensed Matter
Superconductivity
4 pages, 8 figures
Scientific paper
10.1103/PhysRevB.79.092508
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-$T_{\rm c}$ 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.
Doi Shunsuke
Ichinose Ikuo
Matsui Tetsuo
Shimizu Tomonori
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