Development of novel transport phenomena generated by Dirac electrons in solids

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Spin-transport phenomena of Dirac electrons in solids are investigated on the basis of the linear response theory and the Kubo formula. It is shown that the fully spin-polarized electric current is possible by using the circularly polarized light. It is also shown that the spin-Hall insulator is achieved for the Dirac electron systems. Surprisingly, it is found that the formula of the spin-Hall insulator has the exactly same form as that of the diamagnetic susceptibility. By the collaboration with the experimental group, it is shown that the angle resolved Landau spectrum can be correctly fitted by the extended Dirac model up to 30 tesla, and the mysterious peak structure can be understood as the twinning effect.