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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Anderson localization: from theoretical aspects to
applications in QCD and cold atoms - Garcia-Garci
a\, A (Princeton)
DTSTART;TZID=Europe/London:20080822T113000
DTEND;TZID=Europe/London:20080822T123000
UID:TALK13159AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/13159
DESCRIPTION:I summarize some of my recent research on Anderson
localization and the metal-insulator transition.
In the first part I discuss theoretical aspects: 1
. I combine a selfconsistent treatment with the on
e parameter scaling theory to provide explicit exp
ressions of typical quantities characterizing the
metal insulator transition in d > 2 such as the cr
itical exponent which controls the divergence of t
he localization length. 2. I explore under what ci
rcumstances a band of metallic states exists in 1d
systems with correlated disorder. I relate the ab
sence of localization with a certain degree of dif
ferentiability of the random potential. The second
part is devoted to applications: 1. I adapt the o
ne parameter scaling theory to quantum chaos in or
der to determine in what situations Anderson local
ization is expected in chaotic but not strictly ra
ndom potentials. Potential applications to experim
ental tests of localization in cold atoms physics
are briefly discussed. 2. I introduce Anderson loc
alization in the context of Quantum Chromodynamics
(QCD). Then I show that at the same time that the
chiral phase transition occurs the spectrum of th
e QCD Dirac operator undergoes a metal-insulator t
ransition. Finally I give a list of challenging pr
oblems for the future.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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