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SUMMARY:Raffaele Resta (Instituto Officina dei Materiali\, CNR\, Trieste\,
  Italy)
DTSTART:20200629T160000Z
DTEND:20200629T170000Z
DTSTAMP:20260423T024729Z
UID:QM3/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QM3/10/">The
  insulating state of matter: a geometrical theory</a>\nby Raffaele Resta (
 Instituto Officina dei Materiali\, CNR\, Trieste\, Italy) as part of Quant
 um Matter meets Maths (IST\, Lisbon)\n\n\nAbstract\nThe insulating versus 
 conducting behavior of condensed matter is commonly addressed\nin terms of
  electronic excitations and/or conductivity. At variance with such wisdom\
 , W. Kohn hinted in 1964 that the insulating state of matter reflects a pe
 culiar organization of the electrons in their ground state\, and does not 
 require an energy gap.\nKohn’s “theory of the insulating state” got 
 a fresh restart in 1999\; at the root of these\ndevelopments is the modern
  theory of polarization\, developed in the early 1990s\, and\nbased on a g
 eometrical concept (Berry phase). Since insulators and metals polarize\nin
  a qualitatively different way\, quantum geometry also discriminates insul
 ators\nfrom conductors. A common geometrical “marker”\, based on the q
 uantum metric\,\ncaracterizes all insulators (band insulators\, Anderson i
 nsulators\, Mott insulators\,\nquantum Hall insulators. . . )\; such marke
 r diverges in conductors.\n
LOCATION:https://researchseminars.org/talk/QM3/10/
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