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PRODID:UW-Madison-Physics-Events
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SEQUENCE:0
UID:UW-Physics-Event-1036
DTSTART:20080221T160000Z
DURATION:PT1H0M0S
DTSTAMP:20260423T055203Z
LAST-MODIFIED:19700101T060000Z
LOCATION:5310 Chamberlin Hall
SUMMARY:Anderson localization transitions\, multifractal wave function
 s\, and conformal invariance\, R. G. Herb Condensed Matter Seminar\, I
 lya Gruzberg\, Physics Dept. University of Chicago
DESCRIPTION:Anderson metal-insulator transitions (MIT) caused by disor
 der in electronic systems exhibit many fascinating features making the
 m quite special. In particular\, electronic wave functions that are ex
 tended in the metal and localized in the insulator\, appear to have in
 tricate self-similar structure right at the transition. This structure
  leads to an infinite number of scaling multifractal exponents that de
 scribe the moments of the wave functions. We have recently developed t
 he concept of multifractality of wave functions for finite samples wit
 h boundaries and corners. It appears that the critical behavior of var
 ious observables related to wave functions near a boundary at a MIT is
  different from that in the bulk. In two dimensions (2D)\, the multifr
 actal exponents at a corner are found to be directly related to those 
 at a straight boundary through a relation arising from conformal invar
 iance. This provides direct evidence for conformal invariance at a 2D 
 MIT. Moreover\, the presence of boundaries modifies the multifractal s
 pectrum of the whole sample even in the thermodynamic limit. I will il
 lustrate all these ideas and developments with several examples of MIT
 's that we have studied.
URL:https://www.physics.wisc.edu/events/?id=1036
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