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SUMMARY:Classification and symmetry properties of scaling dimensions at An
 derson transitions - Mirlin\, A (Universitt Karlsruhe (TH))
DTSTART:20120918T101000Z
DTEND:20120918T105000Z
UID:TALK39848@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Multifractality of wave functions is a remarkable property of 
 Anderson transition critical points in disordered systems. We develop a cl
 assification of gradientless composite operators (that includes the leadin
 g multifractal operators but is much broader) representing correlation fun
 ctions of local densities of states (or wave function amplitudes) at Ander
 son transitions. Our classification is based on the Iwasawa decomposition 
 for the underlying supersymmetric sigma-model field: the operators are rep
 resented by "plane waves" in terms of the corresponding "radial" coordinat
 es. We present also an alternative (but equivalent) construction of scalin
 g operators that uses the notion of highest-weight vectors. We further sho
 w that the invariance of the sigma-model manifold with respect to a Weyl g
 roup leads to numerous exact symmetry relations between the scaling dimens
 ions of the composite operators.
LOCATION:Seminar Room 1\, Newton Institute
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