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CATEGORIES:Theory of Condensed Matter
SUMMARY:Plasma Analogy and non-Abelian Braiding Statistics
in Ising-type Quantum Hall States - Parsa Bonders
on\, Microsoft Station Q\, Santa Barbara
DTSTART;TZID=Europe/London:20111006T141500
DTEND;TZID=Europe/London:20111006T151500
UID:TALK32800AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/32800
DESCRIPTION:Quantum Hall systems are effectively two-dimension
al and thus allow for quasiparticle excitations wi
th exotic exchange statistics based on the braid g
roup. These may be “anyons” with fractional statis
tics that lie somewhere between that of bosons and
fermions\, or\, even more exotically\, “non-Abeli
an anyons” with quasiparticle exchange represented
by matrices. The quasiparticle statistics of cand
idate quantum Hall states (universality classes) i
s usually conjectured\, but in some instances can
be deduced from their representative trial wavefun
ctions. I will explain how this can be done for wa
vefunctions with a “plasma analogy” similar to Lau
ghlin’s. Then I will construct a plasma analogy fo
r the non-Abelian Ising-type states\, e.g. the Moo
re-Read Pfaffian state. This provides the first co
mplete proof of the non-Abelian braiding statistic
s of quasiparticles in these states\, which are li
kely candidates to explain the observed Hall condu
ctivity plateaus in the second Landau level\, most
notably the one at filling fraction nu=5/2.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
CONTACT:Dr G Moller
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