The role of Replica Symmetry Breaking for localized fermionic spin

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a possible METAL INSULATOR TRANSITION scenario
A FERMION HOPPING MECHANISM MUST BE EXPECTED TO FILL THE
PSEUDOGAP GRADUALLY. THE SHAPE DETERMINED BEFORE FOR THE
LOCALIZED MODEL WILL BE CRUCIAL FOR THIS FILLING.
THE METAL INSULATOR TRANSITION CAN NATURALLY BE EXPECTED TO
OCCUR AT A CRITICAL FILLING AND A CRITICAL FINITE DENSITY OF
STATES AT THE FERMI LEVEL.
AS IN THE CASE OF A DISORDERED SYSTEM WITH COULOMB INTERACTION
(MOTT-ANDERSON TRANSITION) THIS VALUE COULD BECOME ZERO DUE
TO CRITICAL DEPLETION OF STATES, WHICH IS HOWEVER A DIMENSIONDEPENDENT EFFECT. IN THE COULOMB CASE, THE CRITICAL EXPONENT OF
THE DOS-DEPLETION
AT THE FERMI LEVEL DEPENDS ON SPACE
DIMENSION AS FOR EXAMPLE PROPOSED IN AN (D-2)-EXPANSION (R.O.,
Z.Phys.B49, 273 (1983)).
LOCALIZATION BY MEANS OF DISORDER CAN BE VIEWED HERE AS A
CONSEQUENCE OF MAGNETIC MOMENTS WITH POSITIONAL DISORDER
(but this type of disorder - in contrast to independent random potentials - is an interaction
effect and the competition with quantum dynamical transport can change and suppress the
moments at zero temperature in a magnetic quantum phase transition. The breakdown of
magnetic order removes this particular source of localization.)
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