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SUMMARY:Geometrical observables of the electronic ground state
DTSTART:20180523T161500
DTEND:20180523T171500
DTSTAMP:20260501T164805Z
UID:3d6bbde4c3eb3f5c5f29fc2aedfe1cb50986efba633a573c0ad7d884
CATEGORIES:Conferences - Seminars
DESCRIPTION:Raffaele Resta (Democritos IOM-CNR\, Trieste\, Italy)\n15th NC
 CR MARVEL Distinguished Lecture\n\nSeveral physical observables of materia
 ls have their theoretical root in geometrical properties of the electronic
  ground state. To start with\, I will outline the modern theory of the ins
 ulating state\, which addresses all kinds of insulators (band\, Mott\, And
 erson...)\, discriminating them from metals by means of a very simple geom
 etrical property of their ground state. Next I will specialize to either b
 and insulators or band metals\, focusing on some observables which stem fr
 om the geometry of the occupied manifold in reciprocal space. Nowadays the
  most popular geometrical observable is electrical polarization (for insul
 ators)\, whose expression is a Berry phase: the k-space integrand is gauge
 -dependent and the bulk observable is defined only modulo a "quantum". Som
 e other observables\, instead\, obtain from a gauge-invariant k-space inte
 grand and are free from any "quantum" ambiguity: these include orbital mag
 netization and anomalous Hall conductivity (both defined for either metals
  or insulators). Other observables in this class will be discussed as well
 . Recent work has shown that orbital magnetization and anomalous Hall cond
 uctivity also admit a dual representation in coordinate space\, and can be
  evaluated for a bounded sample—even noncrystalline—with square-integr
 able orbitals (where k-space doesn’t make any sense).\n \n[1] A. Marraz
 zo and R. Resta\, Irrelevance of the boundary on the magnetization of meta
 ls\, Phys. Rev. Lett. 116\, 137201 (2016).\n[2] A. Marrazzo and R. Resta\,
  Locality of the anomalous Hall conductivity\, Phys. Rev. B 95\, 121114(R)
  (2017).\n[3] R. Resta\, Geometrical meaning of the Drude weight and its r
 elationship to orbital magnetization\, arXiv:1703.00712 (2017).\n\nIf you 
 would like to meet Prof. Resta\, please contact Nathalie Jongen.
LOCATION:MXF 1 https://plan.epfl.ch/?room==MXF%201
STATUS:CONFIRMED
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