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PRODID:Institute for Theoretical Physics - Events
X-WR-CALDESC:TPK
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SUMMARY:TPK | Maia Garcia Vergniory
DTSTART;VALUE=DATE-TIME:20201204T163000
DTEND;VALUE=DATE-TIME:20201204T180000
DTSTAMP;VALUE=DATE-TIME:20210117T041846Z
UID:0000001565@events.thp.uni-koeln.de
DESCRIPTION:Maia Garcia Vergniory\, Donostia International Physics Center\
, Donostia-San Sebastian\, Spain Ikerbasque\, Basque Foundation for Scienc
e\, Bilbao\, Spain\n\nBeyond Topological Quantum Chemistry\n\nTopological
quantum chemistry (TQC) framework has provided a complete description of\n
the universal properties of all possible atomic band insulators in all spa
ce groups\nconsidering the crystalline unitary symmetries. It links the
chemical and symmetry\nstructure of a given material with its topological
properties. While this formalism filled\nthe gap between the mathematical
classification and the practical diagnosis of\ntopological materials\, an
obvious limitation is that it only applies to weakly interacting\nsystems.
It is an open question to which extent this formalism can be generalized
to\ncorrelated systems that can exhibit symmetry protected topological Mot
t insulators.\nIn this talk I will first introduce TQC and its application
and then I will address this question\nby combining cluster perturbation
theory and topological Hamiltonians within TQC. This\nsimple formalism wil
l be applied to calculate to the phase diagram of a representative\nmodel.
The results are compared to numerically exact calculations from density m
atrix\nrenormalization group and variational Monte Carlo simulations toget
her with many-body\ntopological invariants.\n\nReferences\n1. M.G. Vergnio
ry\, L. Elcoro\, C. Felser\, N. Regnault\, B.A. Bernevig\, Z.Wang\, “A c
omplete catalogue of HighQuality Topological Materials“\, Nature 566\, 4
80-485 (2019) \n2. B. Bradlyn\, L. Elcoro\, J. Cano\, M.G. Vergniory\, Z.
Wang\, C. Felser\, M.I. Aroyo\, B.A. Bernevig\, “Topological quantum ch
emistry”\, Nature 547 (7663)\, 298-305 (2017).\n3. M. Iraola et al\, in
preparation\n\nContact Person: Sebastian Diehl
LOCATION:Seminar Room 0.03\, ETP
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