Self-Consistent Treatment of Dynamical Diffusion Coefficient of Two Dimensional Random Electron System under Strong Magnetic Fields
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Diagramatic trearmenr for the density relaxation fu.ncrion is employed todetermine the renormalized dynamical diffusion coefficient D(a) of two dimen-sional random electron system under quantizing magnetic fields; for simplicity,the case where the Fermi energy lies within the lowest Landau stubband is con-sidered. The resulting self-consistent equation shows that Z)(O) does not vanishonly when the real part of the retarded Green's function at the Fermi level iszero. The quantities, such as Re7)(m), Image) and the Iocalization length, arecalculated numerically by changing the Fermi energy within the lowest subband.The measure of the ntunber of extended states per unit a-rc'a is zero, but extendedstates do exist, which does not contradict with the observation of the quantizedHall effect.
- 社団法人日本物理学会の論文
- 1982-11-15
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