Edge states and quantum Hall effects in d+id' superconductors

摘要

Broken time reversal symmetry (BTRS) in d wave superconductors is studied and is shown to yield current carrying surface states. We evaluate the temperature and thickness dependence of the resulting spontaneous magnetization and show a marked difference between weak and strong BTRS. We also derive the Hall conductance which vanishes at zero wavevector q and finite frequency ω, however at finite q,ω it has an unusual structure. The chirality of the surface states leads to quantum Hall effects for spin and heat transport. Simulations of a network model show a new universality class for the corresponding Hall transition.