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SUMMARY:Quantum and classical localisation transitions - Chalker\, J (Oxfo
 rd)
DTSTART:20080819T090000Z
DTEND:20080819T100000Z
UID:TALK13145@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Localisation of a particle moving in a random environment may 
 occur both quantum mechanically and with classical dynamics\, but the phen
 omenon is very different in the two cases. I will discuss a class of quant
 um-mchanical localisation problems for which some physical quantities can 
 be expressed exactly in terms of averages taken in a classical counterpart
 . The equivalence holds despite the fact that interference effects dominat
 e the behaviour of the quantum systems. The models are network models belo
 nging to class C in Zirnbauer's classification. The equivalence was first 
 discovered in the context of the spin quantum Hall effect by Gruzberg\, Lu
 dwig and Read [Phys. Rev. Lett. 82\, 4524 (1999)]\, and the results I will
  describe were obtained in collaboration with Beamond and Cardy [Phys Rev 
 B 65\, 214301 (2002) and with Ortuno and Somoza [in preparation].
LOCATION:Seminar Room 1\, Newton Institute
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