A Diagrammer's Note on Superconducting Fluctuation Transport for   Beginners: II. Hall and Nernst Effects with Perturbational Treatment of   Magnetic Field
  A diagrammatic approach based on thermal Green function to superconducting fluctuation transport is reviewed focusing on Hall and Nernst effects. The treatment of weak magnetic field is carefully discussed within the linear order perturbation.   In the Appendix the linear response theory for the DC Hall conductivity of the Dirac fermion in 2+1 space-time dimensions is reviewed. One focus is the Chern-Simons effective action for the gauge field. Another is the exact formula by Ishikawa and Matsuyama. 
Osamu Narikiyo
cond-mat.supr-con