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SUMMARY:Geometric responses of Quantum Hall systems. Bulk and boundary. - 
 Alexander Abanov\, Stony Brook University
DTSTART:20160204T141500Z
DTEND:20160204T151500Z
UID:TALK63802@talks.cam.ac.uk
CONTACT:Dr G Moller
DESCRIPTION:The fractional quantum Hall effect (FQHE) is a fascinating phy
 sical phenomenon of quantization of the Hall conductance of two-dimensiona
 l electron gas in terms of fundamental constants. The phenomenon is observ
 ed at low temperatures and in strong magnetic fields. It is characterized 
 by a formation of a collective state of electrons — an incompressible el
 ectron liquid. The responses of this rather exotic fluid to external elect
 romagnetic and elastic perturbations are rather geometric in nature. These
  responses can be compactly described by the effective action of FQHE. In 
 this talk I will consider the geometric part of the effective action for F
 QHE. It consists of three terms: Chern-Simons\, Wen-Zee and gravitational 
 Chern-Simons terms. I will show how to derive the geometric part of the ef
 fective action and will discuss the physical meaning of the corresponding 
 linear responses of FQHE. In particular\, I will consider the role of fram
 ing anomaly in the theory of linear responses for FQHE and discuss manifes
 tations of geometric terms on the boundary of FQHE droplet.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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