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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Effective field theories for topological insulator
s via functional bosonization - Ryu\, S (Universit
y of Illinois at Urbana-Champaign)
DTSTART;TZID=Europe/London:20130918T144500
DTEND;TZID=Europe/London:20130918T153000
UID:TALK47244AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/47244
DESCRIPTION:Eﬀective ﬁeld theories that describes the dynamics
of a conserved U(1) current in terms of hydrodyna
mic degrees of freedom of topological phases in co
ndensed matter are discussed in general dimension
D = d+1 using the functional bosonization techniqu
e. For non-interacting topological insulators (sup
erconductors) with a conserved U(1) charge and cha
racterized by an integer topological invariant\, w
e derive the BF-type topological ﬁeld theories sup
plemented with the Chern-Simons (when D is odd) or
the θ-term (when D is even). For topological insu
lators characterized by a Z2 topological invariant
(the ﬁrst and second descendants of the primary s
eries)\, their topological ﬁeld theories are obtai
ned by dimensional reduction. Building on this eﬀe
ctive ﬁeld theory description for noninteracting t
opological phases\, we also discuss\, following th
e spirit of the parton construction of the fractio
nal quantum Hall eﬀect by Block and Wen\, the puta
tive fractional topological insulators and their p
ossible eﬀective ﬁeld theories\, and use them to d
etermine the physical properties of these.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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