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

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

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.
Original languageEnglish
Title of host publicationNew Directions in Mesoscopic Physics (Towards Nanoscience)
EditorsR. Fazio, V. F. Gantmakher, Y. Imry
PublisherSpringer, Dordrecht
Pages281-290
ISBN (Electronic)9789400710214
ISBN (Print)9781402016646, 9781402016653
DOIs
StatePublished - 2003

Publication series

NameNATO Science Series II-Mathematics Physics and Chemistry
PublisherSpringer
ISSN (Print)1568-2609

Keywords

  • Edge State
  • Universality Class
  • Spontaneous Magnetization
  • Quantum Hall Effect
  • Hall Conductance

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