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TZID:Europe/Vienna
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DTSTART:20180325T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
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DTSTART:20171029T020000
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BEGIN:VEVENT
DTSTAMP:20260308T204018Z
UID:5853d1297be2c579311795@ist.ac.at
DTSTART:20171128T160000
DTEND:20171128T180000
DESCRIPTION:Speaker: Jacob Shapiro\nhosted by Laszlo Erdös\nAbstract: We s
 tudy one dimensional insulators obeying a chiral symmetry in the single-pa
 rticle picture where the Fermi energy is assumed to lie within a mobility 
 gap. Topological invariants are defined for infinite (bulk) or half-infini
 te (edge) systems\, and it is shown that for a given bulk system with near
 est neighbor hopping\, the invariant is equal to the induced-edge-system's
  invariant. We also give a new formulation of the topological invariant in
  terms of the Lyapunov exponents of the system\, which sheds light on the 
 conditions for topological phase transition extending to the mobility gap 
 regime. We investigate the conditions for a mobility gap to exist in a pro
 babilistic model\, and give a proof of complete dynamical localization at 
 all non-zero energies via Furstenberg's theorem and the fractional moments
  method.(Joint work with G. M. Graf)
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Jacob Shapiro: Bulk-Edge Duality and Complete Localization for Diso
 rdered Chiral Chains
URL:https://talks-calendar.ista.ac.at/events/950
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