Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Séminaire de groupe

Topological phases with boundary parafermions in one dimension
Leonardo Mazza
ENS Paris
jeudi 17 mai 2018 , 10h25
Salle de séminaire du groupe de Physique Statistique

In this talk I will speak about parafermions, emergent excitations that generalize Majorana fermions and can also realize topological order. I will present a non-trivial and quasi-exactly-solvable model for a chain of parafermions in a topological phase. The ground-state wave-functions, which are matrix-product states and have a particularly elegant interpretation in terms of Fock parafermions, are computed and characterized. Using these wavefunctions, several signatures of topological order are demonstrated analytically. This study provides a starting point for the non-approximate study of topological one-dimensional parafermionic chains in the absence of strong edge modes. Finally, I will comment on the possibility of having boundary parafermionic excitations in fermionic systems. [1] Fernando Iemini, Christophe Mora and Leonardo Mazza, Phys. Rev. Lett. 118 170402 (2017) [2] Leonardo Mazza, Fernando Iemini, Marcello Dalmonte and Christophe Mora, arXiv:1801.08548 (2018)



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