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SUMMARY:An overview of topological crystalline phases\, defect physics and
  novel Floquet systems - Dr Robert-Jan Slager\, MPI for the Physics of Com
 plex Systems 
DTSTART:20180726T131500Z
DTEND:20180726T141500Z
UID:TALK108085@talks.cam.ac.uk
CONTACT:Bartomeu Monserrat
DESCRIPTION:Topological phases of matter entail a prominent research theme
 \, featuring distinct characteristics that include protected metallic edge
  states and possible fractionalized excitations. With the advent of symmet
 ry protected topological (SPT) phases\, many of these phenomena have effec
 tively become accessible in the form of experimentally available band stru
 ctures. Whereas SPT states protected by unitary and anti-unitary symmetrie
 s have been thoroughly understood\, the inclusion of lattice symmetries pr
 ovides for an active area of research. In this talk\, I will present a sho
 rt overview of results on defects in SPT states that directly motivate the
  existence of additional physics beyond the characterization based on (ant
 i-) unitary symmetries. I will then connect these ideas to our work in whi
 ch we mapped out all different gapped phases of free fermion systems in th
 e presence of lattice symmetries. This revolves around a very simple algor
 ithm that matches a rather involved mathematical perspective in terms of a
  framework called K-theory. Subsequently\, I will discuss the implications
  of these combinatorial arguments and a plethora of related ideas that con
 nect to this central theme of topological classification schemes\, such as
  their impact on the description of Weyl semimetals and Wilson loop strate
 gies to elucidate the resulting phases. Lastly I will attempt to sketch fu
 ture directions\, with a particular emphasis on novel SPT Floquet systems 
 that could be accessible using tailored laser fields and invoking a natura
 l role of interactions in the system.\n
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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