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A diagrammatic approach based on thermal Green function to superconductingfluctuation transport is reviewed focusing on Hall and Nernst effects. Thetreatment of weak magnetic field is carefully discussed within the linear orderperturbation.  In the Appendix the linear response theory for the DC Hall conductivity ofthe Dirac fermion in 2+1 space-time dimensions is reviewed. One focus is theChern-Simons effective action for the gauge field. Another is the exact formulaby Ishikawa and Matsuyama.

A Diagrammer's Note on Superconducting Fluctuation Transport for  Beginners: II. Hall and Nernst Effects with Perturbational Treatment of  Magnetic Field