Quantum dots as parafermion detectors

التفاصيل البيبلوغرافية
العنوان: Quantum dots as parafermion detectors
المؤلفون: Teixeira, Raphael L. R. C., da Silva, Luis G. G. V. Dias
المصدر: Phys. Rev. Research 3, 033014 (2021)
سنة النشر: 2021
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Mesoscale and Nanoscale Physics
الوصف: Parafermionic zero modes, $\mathbb{Z}_n$-symmetric generalizations of the well-known $\mathbb{Z}_2$ Majorana zero modes, can emerge as edge states in topologically nontrivial strongly correlated systems displaying fractionalized excitations. In this paper, we investigate how signatures of parafermionic zero modes can be detected by its effects on the properties of a quantum dot tunnel-coupled to a system hosting such states. Concretely, we consider a strongly-correlated 1D fermionic model supporting $\mathbb{Z}_4$ parafermionic zero modes coupled to an interacting quantum dot at one of its ends. By using a combination of density matrix renormalization group calculations and analytical approaches, we show that the dot's zero-energy spectral function and average occupation numbers can be used to distinguish between trivial, $\mathbb{Z}_4$ and $2\times \mathbb{Z}_2$ phases of the system. The present work opens the prospect of using quantum dots as detection tools to probe non-trivial topological phases in strongly correlated systems.
Comment: 9 pages, 7 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevResearch.3.033014
URL الوصول: http://arxiv.org/abs/2103.16278
رقم الانضمام: edsarx.2103.16278
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevResearch.3.033014