12–16 sept. 2022
Instituto Tecnológico de Aeronáutica
Fuseau horaire America/Sao_Paulo

From Majoranas to parafermions: topological zero modes in condensed matter systems

16 sept. 2022, 14:50
20m
Instituto Tecnológico de Aeronáutica

Instituto Tecnológico de Aeronáutica

Praça Marechal Eduardo Gomes, 50 - Vila das Acacias, São José dos Campos - SP, 12228-900

Orateur

Prof. Luis G. Dias da Silva (Universidade de São Paulo)

Description

Abstract

The so-called “search for Majoranas” has mobilized several groups over the last decade with the goal of achieving the “holy grail” of topological quantum computation in condensed matter systems [1-2]. In spite of the advances, particularly in devices of semiconductor nanowires with proximity induced superconductivity, many unanswered questions and challenges remain, as highlighted the recent events that shook the community [3]. This begs the question of whether other platforms hosting Majorana zero modes or other topological excitations which could be used as non-Abelian anyons can be viewed in a different light.

In this talk, I will discuss some of the scenarios for what's next in the Majorana saga. I will present some of the works in our group involving Majoranas in alternative platforms such as vortex cores in 2D topological superconductors [4]. I will also discuss our recent proposals for modeling parafermionic zero modes, Majoranas' Z_n symmetric cousins, in strongly interacting electronic systems [5,6]. We also propose a way to detect these rather exotic quasiparticles using quantum dots [5].

References

[1] R. Aguado, Majorana quasiparticles in condensed matter, Riv. Nuovo Cimento 40, 523 (2017).

[2] K. Flensberg, F. von Oppen, and A. Stern, Engineered platforms for topological superconductivity and majorana zero modes, Nature Reviews Materials 6, 944 (2021).

[3] H. Zhang et al. , Retracted article: Quantized Majorana conductance, Nature 556, 74 (2018).

[4] Bruna S. de Mendonça, Antonio L. R. Manesco, Nancy Sandler, Luis G. G. V. Dias da Silva, Can Caroli-de Gennes-Matricon and Majorana vortex states be distinguished in the presence of impurities? arXiv:2204.05078 (2022).

[5] R. L. R. C. Teixeira, Luis G. G. V. Dias da Silva, Quantum dots as parafermion detectors, Phys. Rev. Research 3, 033014 (2021).

[6] R. L. R. C. Teixeira, Luis G. G. V. Dias da Silva, Edge Z3 parafermions in fermionic lattices, Phys. Rev. B 105, 195121 (2022).

Documents de présentation