Quantum Hall Effects in Layered Disordered Superconductors

Layered singlet paired superconductors with disorder and broken time reversal symmetry are studied, demonstrating a phase diagram with charge-spin separation in transport. In terms of the average intergrain transmission and the interlayer tunneling we find quantum Hall phases with spin Hall coefficients of σ_xy^spin=0,2 separated by a spin metal phase. We identify a spin metal-insulator localization exponent as well as a spin conductivity exponent of ≈0.96. In the presence of a Zeeman term an additional σ_xy^spin=1 phase appears.