Dirac monopole and spin Hall conductance for anisotropic superconductivities

Yasuhiro Hatsugai, Shinsei Ryu

Research output: Contribution to journalConference articlepeer-review


Concept of the topological order is useful to characterize anisotropic superconductivities. The spin Hall conductance distinguishes superconductivities with the same symmetry. The Chern number for the spin Hall conductance is given by the covering degree of a closed surface around the Dirac monopole. It gives a clear illustration for the on-critical condition for the dx2-y2 superconductivitiy with non-zero chemical potential. Non-trivial topological orders on the triangular lattice are also presented and demonstrated by the topological objects.

Original languageEnglish (US)
Pages (from-to)78-79
Number of pages2
JournalPhysica C: Superconductivity and its applications
StatePublished - May 2003
Externally publishedYes
Eventproceedings of the 23rd international conference on low temper - Hiroshima, Japan
Duration: Aug 20 2002Aug 27 2002

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


  • Dirac monopole
  • Spin Hall conductance
  • The Chern number
  • Topological invariant


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