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Deux modèles de spin aux propriétés inattendues – (Haruki Watanabe / LPT / Seminar). – 05/09/2023, 14H
5 September 2023; 14h00 - 15h30
Haruki Watanabe (EUniversité de Tokyo)
Seminar LPT, 05/09/2023, 14H, 3R1, seminar room, 3rd floor
Summary :
In this talk, I will introduce two series of simple spin models with unusual properties. The first one is a modified Toric code that may have a unique ground state under periodic boundary condition, despite its nontrivial topological order dictated by nontrivial entanglement entropy and anyonic excitations. The second one is a spin chain in which a U(1) symmetry may be spontaneously broken at T=0, although naively such a phase is prohibited by the Hohenberg-Mermin-Wagner theorem. These examples will help our general understanding of quantum many-body systems and complete classification of possible phases of matter.