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SUMMARY:Critical parameters from generalised multifractal analysis at the 
 Anderson transition - Dr Alberto Rodriguez (Warwick)
DTSTART:20100513T131500Z
DTEND:20100513T141500Z
UID:TALK24073@talks.cam.ac.uk
CONTACT:Joe Bhaseen
DESCRIPTION:We propose a generalisation of multifractal analysis that is a
 pplicable to the critical regime of the Anderson localisation-delocalisati
 on transition. In combination with finite-size scaling\, this formalism  p
 ermits the critical parameters to be estimated without the need for conduc
 tance or other transport measurements. The method is based on a careful fi
 nite-size study of the probability density function (PDF) of wavefunction 
 intensities. We show that the PDF itself is sufficient to fully characteri
 se and monitor the Anderson transition. This approach could be valuable fo
 r the wealth of such wavefunction-based experimental data that is now beco
 ming available from LDOS measurements using STM techniques and from direct
  imaging of ultracold gases in disordered optical lattices. Applying this 
 technique to high-precision data for wavefunction statistics obtained by e
 xact diagonalization of the three-dimensional Anderson model\, we estimate
  the critical exponent nu=1.58+-0.03\, in excellent agreement with previou
 s transfer matrix results. \n\n\n
LOCATION:Mott Seminar Room\, Cavendish Laboratory
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