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UID:4a68b602c49ea0a65cea998aae34f91e
DTSTAMP:20260515T092653Z
SUMMARY:Matter Seminar: A Spatial Localizer for Electrons in Insulators
DESCRIPTION:A Spatial Localizer for Electrons in Insulators\nWladimir Benal
 cazar\, Emory University\nThe location of electrons governs phenomena rang
 ing from chemical bonding and electric polarization to the topological cla
 ssification of band insulators and the emergence of correlated states in q
 uantum matter. While a prescription exists for finding local state represe
 ntations of electrons in one-dimensional insulators\, no comparably genera
 l theory exists in higher dimensions. Here\, we introduce a general framew
 ork for locating electrons in insulators in two and three dimensions\, bas
 ed on the spectral properties of quantum-mechanical operators that we term
  Spatial Localizers. This framework naturally extends the notion of Wannie
 r centers to insulators with boundaries\, defects\, and disorder\, which w
 e use to establish a position-space formulation of the bulk-defect corresp
 ondence for electronic charge. This framework also yields maximally locali
 zed electronic states. As two representative examples\, we show that these
  states reduce to maximally localized Wannier functions in atomic insulato
 rs\, whereas in Chern insulators they form coherent states that mirror the
  coherent-state structure of Landau levels in the quantum Hall effect.
URL:https://www.imperial.ac.uk/events/209473/matter-seminar-a-spatial-local
 izer-for-electrons-in-insulators/
DTSTART;TZID=Europe/London:20260518T140000
DTEND;TZID=Europe/London:20260518T150000
LOCATION:311\, Blackett Building\, South Kensington Campus\, Imperial Colle
 ge London\, London\, SW7 2AZ\, United Kingdom
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