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SUMMARY:Plasma Analogy and non-Abelian Braiding Statistics in Ising-type Q
 uantum Hall States - Parsa Bonderson\, Microsoft Station Q\, Santa Barbara
DTSTART:20111006T131500Z
DTEND:20111006T141500Z
UID:TALK32800@talks.cam.ac.uk
CONTACT:Dr G Moller
DESCRIPTION:Quantum Hall systems are effectively two-dimensional and thus 
 allow for quasiparticle excitations with exotic exchange statistics based 
 on the braid group. These may be “anyons” with fractional statistics t
 hat lie somewhere between that of bosons and fermions\, or\, even more exo
 tically\, “non-Abelian anyons” with quasiparticle exchange represented
  by matrices. The quasiparticle statistics of candidate quantum Hall state
 s (universality classes) is usually conjectured\, but in some instances ca
 n be deduced from their representative trial wavefunctions. I will explain
  how this can be done for wavefunctions with a “plasma analogy” simila
 r to Laughlin’s. Then I will construct a plasma analogy for the non-Abel
 ian Ising-type states\, e.g. the Moore-Read Pfaffian state. This provides 
 the first complete proof of the non-Abelian braiding statistics of quasipa
 rticles in these states\, which are likely candidates to explain the obser
 ved Hall conductivity plateaus in the second Landau level\, most notably t
 he one at filling fraction nu=5/2.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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