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SUMMARY:Effective field theories for topological insulators via functional
  bosonization - Ryu\, S (University of Illinois at Urbana-Champaign)
DTSTART:20130918T134500Z
DTEND:20130918T143000Z
UID:TALK47244@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Eﬀective ﬁeld theories that describes the dynamics of a co
 nserved U(1) current in terms of hydrodynamic degrees of freedom of topolo
 gical phases in condensed matter are discussed in general dimension D = d+
 1 using the functional bosonization technique. For non-interacting topolog
 ical insulators (superconductors) with a conserved U(1) charge and charact
 erized by an integer topological invariant\, we derive the BF-type topolog
 ical ﬁeld theories supplemented with the Chern-Simons (when D is odd) or
  the θ-term (when D is even). For topological insulators characterized by
  a Z2 topological invariant (the ﬁrst and second descendants of the prim
 ary series)\, their topological ﬁeld theories are obtained by dimensiona
 l reduction. Building on this eﬀective ﬁeld theory description for non
 interacting topological phases\, we also discuss\, following the spirit of
  the parton construction of the fractional quantum Hall eﬀect by Block a
 nd Wen\, the putative fractional topological insulators and their possible
  eﬀective ﬁeld theories\, and use them to determine the physical prope
 rties of these.\n
LOCATION:Seminar Room 1\, Newton Institute
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