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CATEGORIES:Theoretical Physics Seminars
SUMMARY:A contemporary view on topological band theory and
new Euler class phenomena - Robert-Jan Slager (Un
iversity of Cambridge)
DTSTART:20211111T131500Z
DTEND:20211111T143000Z
UID:TALK4669AT
URL:/talk/index/4669
DESCRIPTION:In this talk\, I will cover a selection of our rec
ent work on topological characterizations in a rat
her colloquial style. In particular\, I will revi
ew how constraints on symmetry eigenvalues can dir
ectly be linked to topological invariants\, reprod
ucing involved K-theory evaluations from a simple
algorithmic point of view. The resulting condition
s can then be extended to contemporary classificat
ion schemes by comparing to real space configurati
ons\, going by the name topological quantum chemis
try or symmetry indicators.\n\nThe above developme
nts\, more importantly\, indicate presence of topo
logical phases beyond the above framework\, an arc
hetypal example being phases characterized by so-c
alled Euler class. Hence\, in the second part\, I
will discuss recent work on such systems\, focussi
ng on two new physical effects. Namely\, I will fi
rst show that systems having non-trivial Euler cla
ss are intimately related to reciprocal conversion
effects in materials that feature band nodes. Ac
cordingly\, I will motivate that Euler class Hamil
tonians also pose new avenues in cold atomic gasse
s\, inducing distinct quench dynamics\, and other
types of physical systems\, notably phonon spectra
as well as electron systems.
LOCATION:Theory Library
CONTACT:Dr Hannah Price
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