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Phase Diagram of Electron Systems near the Superconductor ...

Phase Diagram of Electron Systems near the Superconductor ...

ResistivityAssume Mott

ResistivityAssume Mott variable range hopping :R = R 0 exp[− (T 0 /T ) 1/(d+1) ]Increase for increasing field since tail of wave function changes from simpleexponential to GaussianDecrease for increasing field B>B BFT since T 0 forbosons is much larger than for fermions.T 0fT 0b≈ n bn fLcbL cf d+2∼LcbL cf 2= O(10 −2 )

Conclusions•! Phase diagram depends on dimensionality. In thin films it depends on themagnetic field direction.•! In all considered situations there are 4 interplayingphases: Bose Insulator, Fermi Insulator, Metal and Superconductor•! Transitions between them are due either to paramagnetic depairing orto squeezing of Cooper pairs by the random potential well in magnetic field•! Negative magnetoresistance appears due to proliferation of fermions whichare weakly confined by the random field.•! In thick film or bulk the phase diagram does not depend on direction ofmagnetic field, however the resistivity must be anisotropic.

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