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SUMMARY:Quantum models of quasicrystals - Anuradha Jagannathan (Paris)
DTSTART:20161128T153000Z
DTEND:20161128T170000Z
UID:TALK68372@talks.cam.ac.uk
CONTACT:6270
DESCRIPTION:Quasicrystals are expected\, by virtue of their complex struct
 ural order and lack of translational invariance\, to possess unusual elect
 ronic properties. Studies of simple models in one\, two and three dimensio
 ns indicate that typical wave-functions of an electron in a quasiperiodic 
 environment are intermediate between extended and localized\, and characte
 rized by multifractal exponents.  Such states are called critical states i
 n analogy with the states at the critical point of a metal-insulator trans
 ition. Quantum diffusion in a quasicrystal is expected to be anomalous\, w
 ith small or vanishing diffusivity. Experiments indicate that quasicrystal
 s are indeed very poor conductors. After an introduction to quasicrystals\
 , I will discuss the state of our current understanding of these solids\, 
 and some of the theoretical problems. A scheme for an experimental realiza
 tion of a quantum simulator for a two dimensional quasicrystal using an op
 tical potential (1) will be presented\, as a step towards providing answer
 s to open questions.\n\n(1) N.Mace\, A.Jagannathan and M.Duneau\, Crystals
 \, 6(10) 124 (2016)\n
LOCATION:Ryle Seminar Room (930) 
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