Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session EE09: ICTP-SAIFR Satellite Meeting: Condensed Matter Theory in São Paulo
10:00 AM–12:00 PM,
Monday, March 20, 2023
Room: Virtual Room 9
Chair: Alexandre Rocha, Instituto de Fisica Teorica - UNESP
Abstract: EE09.00002 : Emergent Parafermionic Zero Modes in Fermionic Systems
10:30 AM–11:00 AM
Presenter:
Luis G Dias Da Silva
(Universidade de São Paulo)
Author:
Luis G Dias Da Silva
(Universidade de São Paulo)
In this talk, I will summarize some of the efforts in our group investigating possible paths toward *realizing* and *detecting* emergent parafermions in strongly interacting electronic systems. In particular, we introduce a representation of Z3 parafermions in terms of purely fermionic operators. From there, we establish the equivalency of a family of lattice fermionic models written on the basis of the t−J model with a Kitaev-like chain supporting free Z3 parafermionic modes at its ends. By using density matrix renormalization group (DMRG) calculations, we are able to characterize the topological phase transition and study the effect of local operators (doping and magnetic fields) on the spatial localization of the parafermionic modes and their stability.
We also propose a way to detect parafermionic zero modes using a quantum dot tunnel coupled to the edge of a system hosting Z4 parafermions. We show that the dot's zero-energy spectral function and average occupation numbers can be used to distinguish between different phases of the system (trivial, Z4, and 2 x Z2). This opens the prospect of using quantum dots as detection tools to probe nontrivial topological phases in strongly correlated systems.
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