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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Classification and symmetry properties of scaling
dimensions at Anderson transitions - Mirlin\, A (U
niversitt Karlsruhe (TH))
DTSTART;TZID=Europe/London:20120918T111000
DTEND;TZID=Europe/London:20120918T115000
UID:TALK39848AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/39848
DESCRIPTION:Multifractality of wave functions is a remarkable
property of Anderson transition critical points in
disordered systems. We develop a classification o
f gradientless composite operators (that includes
the leading multifractal operators but is much bro
ader) representing correlation functions of local
densities of states (or wave function amplitudes)
at Anderson transitions. Our classification is bas
ed on the Iwasawa decomposition for the underlying
supersymmetric sigma-model field: the operators a
re represented by "plane waves" in terms of the co
rresponding "radial" coordinates. We present also
an alternative (but equivalent) construction of sc
aling operators that uses the notion of highest-we
ight vectors. We further show that the invariance
of the sigma-model manifold with respect to a Weyl
group leads to numerous exact symmetry relations
between the scaling dimensions of the composite op
erators.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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