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TZID:Europe/Berlin
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UID:439@qft.physik.hu-berlin.de
DTSTART;TZID=Europe/Berlin:20141031T130000
DTEND;TZID=Europe/Berlin:20141031T140000
DTSTAMP:20141005T203723Z
URL:https://qft.physik.hu-berlin.de/next-seminars/d-ebert-hu-berlin-2/
SUMMARY:D.Ebert\, HU Berlin - Integer/Fractional Quantum Hall Effect (IQHE/
 FQHE) and Graphene
DESCRIPTION:Integer/Fractional Quantum Hall Effect (IQHE/FQHE) and Graphene
 \nAbstract\n---------\nThis is an introductory lecture for the IQHE based 
 on Landau quantization of free\nelectrons in a magnetic field and for the 
 FQHE\nresulting from electron correlations due to dominant Coulomb interac
 tions.\nFirst\, the Landau quantization of the nonrelativistic Schroedinge
 r equation and\nthe Dirac-like Hamiltonian is reviewd and the resulting en
 ergy spectra of electrons\nare presented. Next\, the quantization of the H
 all conductivity and its relation to\ntopological invariants and the first
  Chern\nnumber are discussed. In particular\, the analogy to the Gauss-Bon
 net theorem in\ngeometry is demonstrated by using the concepts of the Berr
 y phase\nand the Berry connection/curvature. Note that the FQHE inspired t
 he\nintroduction of new composite objects--"Composite Fermions (CF)"--whic
 h are\nelectrons with attached flux quanta (vortices). It will be shown th
 at the CF\nof the FQHE can be described by an effective Chern-Simons QFT w
 ith fractional\ncharge/statistics. Outline: possible applications to graph
 ene\, applications of\nAdS_4/CFT_3 duality to FQHE\, topological insulator
 s and superconductors.
CATEGORIES:Pizza Seminars
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TZID:Europe/Berlin
X-LIC-LOCATION:Europe/Berlin
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DTSTART:20141026T020000
TZOFFSETFROM:+0200
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