BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Anderson localization: from theoretical aspects to applications in
  QCD and cold atoms - Garcia-Garcia\, A (Princeton)
DTSTART:20080822T103000Z
DTEND:20080822T113000Z
UID:TALK13159@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I summarize some of my recent research on Anderson localizatio
 n and the metal-insulator transition. In the first part I discuss theoreti
 cal aspects: 1. I combine a selfconsistent treatment with the one paramete
 r scaling theory to provide explicit expressions of typical quantities cha
 racterizing the metal insulator transition in d > 2 such as the critical e
 xponent which controls the divergence of the localization length. 2. I exp
 lore under what circumstances a band of metallic states exists in 1d syste
 ms with correlated disorder. I relate the absence of localization with a c
 ertain degree of differentiability of the random potential. The second par
 t is devoted to applications: 1. I adapt the one parameter scaling theory 
 to quantum chaos in order to determine in what situations Anderson localiz
 ation is expected in chaotic but not strictly random potentials. Potential
  applications to experimental tests of localization in cold atoms physics 
 are briefly discussed. 2. I introduce Anderson localization in the context
  of Quantum Chromodynamics (QCD). Then I show that at the same time that t
 he chiral phase transition occurs the spectrum of the QCD Dirac operator u
 ndergoes a metal-insulator transition. Finally I give a list of challengin
 g problems for the future.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR