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SUMMARY:Condensed Matter and Statistical Physics Seminar: Identical Suppre
ssion and Universality of the Hall Response in Interacting Quantum Lattice
s
DTSTART;VALUE=DATE-TIME:20190125T100000Z
DTEND;VALUE=DATE-TIME:20190125T110000Z
DTSTAMP;VALUE=DATE-TIME:20190423T045149Z
UID:indico-event-8833@ictp.it
DESCRIPTION:\n The Hall effect is known as the voltage drop V perpendicula
r to the current I and magnetic field B (perpendicular to I) measurable in
electric conductors. Its importance relies in the fact that\, at weak fie
ld\, the Hall constant R_H= V/IB ~ -1/nq and measures the charge q and den
sity n of charge carriers. Nevertheless\, its calculation remains an open
problem in strongly correlated systems. We demonstrate the identical suppr
ession of the Hall response in quasi two-dimensional ballistic lattices\,
which is robust to large variations of magnetic field\, Fermi level\, temp
erature\, disorder and absence of particle-hole symmetry. This suppression
is unexpected and we show its relation to the topological properties of t
he Fermi surface: namely its central charge. We show that this suppression
is commonly achieved in standard (Landauer) quantum transport settings an
d we rely on DMRG to show that our results equally apply to strongly inter
acting regimes [1].\n Time permitting\, I will also discuss how\, in some
particular cases\, interactions do not affect the Hall response at all\, u
niversally leading to the non-interacting result R_H=-1/nq.\n [1] Michele
Filippone\, Charles-Edouard Bardyn\, Sebastian Greschner and Thierry Giama
rchi. To appear soon\n [2] Sebastian Greschner\, Michele Filippone and Thi
erry Giamarchi arXiv:1809.10927\n\nhttp://indico.ictp.it/event/8833/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://indico.ictp.it/event/8833/
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