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SUMMARY:Superconductivity and topology in strongly correlated systems
DTSTART;VALUE=DATE-TIME:20191205T090000Z
DTEND;VALUE=DATE-TIME:20191205T100000Z
DTSTAMP;VALUE=DATE-TIME:20201026T090807Z
UID:indico-event-7503@cern.ch
DESCRIPTION:We describe exact results and broad intuition at the interface
of topology and superconductivity. We discuss briefly a rigorous upper bo
und on the superconducting transition temperature Tc in two dimensions tha
t holds for arbitrary interaction strength\, order parameter symmetry or p
airing mechanism. This follows from an exact upper bound on superfluid sti
ffness largely controlled by the non-interacting physics\, yet valid in an
y dimension and with arbitrary interactions. We demonstrate that this plac
es stringent bounds on Tc in several strongly correlated systems of intere
st\, in which estimating Tc is a notoriously hard problem. Another aspect
of physics that is well understood in non-interacting and weak coupling sy
stems is band topology. In an unrelated work\, we show how ARPES matrix el
ements provide sharp signatures of topological band inversion in the norma
l state of an iron-based superconductor. In this material\, an unusual int
erplay of spin-orbit coupling and strong correlations results in topologic
al inversion in a band with no observable dispersion. In another unrelated
work\, we show how understanding pairing within valleys in a simple latti
ce model leads to new intuition for intrinsic topological superconductivit
y in materials with valley degrees of freedom. We discuss its relevance fo
r a wide variety of materials from transition metal dichalcogenides and an
tiperovskite oxides on the brink of a topological transition\, to magic an
gle twisted bilayer graphene.\n\nhttps://indico.tifr.res.in/indico/confere
nceDisplay.py?confId=7503
LOCATION: A 304
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7503
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