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 sigma(spin)(xy)=0,2 separated by a spin metal phase. We identify a spin metal-insulator l...

I demonstrate that the wave function for a ν=n+ν[over ˜] quantum Hall state with Landau levels 0,1,…,n-1 filled and a filling fraction ν[over ˜] quantum Hall state with 0<ν[over ˜]≤1 in the nth Landau level can be obtained hierarchically from the ν=n state by introducing quasielectrons which are then projected into the (conjugate of the) ν[over ˜] state. In particular, the ν[over ˜]=1 case prod...

We give a universal description of the mesoscopic effects occurring in fractional quantum Hall disks due to the Aharonov–Bohm flux threading the system. The analysis is based on the exact treatment of the flux within the conformal field theory framework and is relevant for all fractional quantum Hall states whose edge states CFTs are known. As an example we apply this scheme for the parafermion...

It is shown that the presence of matrix dipole moments induced by external electric fields can modify the Hall response in two-dimensional topological insulators. In the case of the quantum anomalous Hall effect the induced transverse currents acquire an extra term, being proportional to the Hall conductance and the time derivative of the applied electric field. In the case of the quantum spin ...