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UID:1-41@lptms.universite-paris-saclay.fr
DTSTART:20120406T110000Z
DTEND:20120406T120000Z
DTSTAMP:20120328T071953Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-excepti
 onnel-benoit-estienne/
SUMMARY:Séminaire exceptionnel: B. Estienne - LPTMS\, salle 201\, 2ème é
 tage\, Bât 100\, Campus d'Orsay - 6 Avr 12 11:00
DESCRIPTION:D-Algebra Structure of Topological Insulators\nBenoit Estienne\
 nIn the quantum Hall effect\, the density operators at different wave-vect
 ors generally do not commute and give rise to the Girvin MacDonald Plazman
 n (GMP) algebra with important consequences such as ground-state center of
  mass degeneracy at fractional filling fraction\, and W_{1 + \\infty} symm
 etry of the filled Landau levels. We show that the natural generalization 
 of the GMP algebra to higher dimensional topological insulators involves t
 he concept of a D-algebra formed by using the fully anti-symmetric tensor 
 in D-dimensions. For insulators in even dimensional space\, the D-algebra 
 is isotropic and closes for the case of constant non-Abelian F(k) ^ F(k) .
 .. ^ F(k) connection (D-Berry curvature)\, and its structure factors are p
 roportional to the D/2-Chern number. In odd dimensions\, the algebra is no
 t isotropic\, contains the weak topological insulator index (layers of the
  topological insulator in one less dimension) and does not contain the Che
 rn-Simons \\theta form (F^A - 1/3 A^A^A in 3 dimensions). The possible rel
 ation to D-dimensional volume preserving diffeomorphisms and parallel tran
 sport of extended objects is also discussed.\n
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15 
 Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
 me étage\, Bât 100\, Campus d'Orsay:geo:48.698185,2.181768
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