Interaction-induced strong zero modes in short quantum dot chains with time-reversal symmetry

التفاصيل البيبلوغرافية
العنوان: Interaction-induced strong zero modes in short quantum dot chains with time-reversal symmetry
المؤلفون: Bozkurt, A. Mert, Miles, Sebastian, Haaf, Sebastiaan L. D. ten, Liu, Chun-Xiao, Hassler, Fabian, Wimmer, Michael
سنة النشر: 2024
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Superconductivity
الوصف: We theoretically explore the emergence of strong zero modes in a two-site chain consisting of two quantum dots coupled due to a central dot that mediates electron hopping and singlet superconducting pairing. In the presence of time-reversal symmetry, the on-site Coulomb interaction leads to a three-fold ground-state degeneracy when tuning the system to a sweet spot as a function of the inter-dot couplings. This degeneracy is protected against changes of the dot energies in the same way as "poor man's'' Majorana bound states in short Kitaev chains. In the limit of strong interactions, this protection is maximal and the entire spectrum becomes triply degenerate, indicating the emergence of a ''poor man's'' version of a strong zero mode. We explain the degeneracy and protection by constructing corresponding Majorana Kramers-pair operators and $\mathbb{Z}_3$-parafermion operators. The strong zero modes share many properties of Majorana bound states in short Kitaev chains, including the stability of zero-bias peaks in the conductance and the behavior upon coupling to an additional quantum dot. However, they can be distinguished through finite-bias spectroscopy and the exhibit a different behavior when scaling to longer chains.
Comment: 24 pages, 10 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.14940
رقم الأكسشن: edsarx.2405.14940
قاعدة البيانات: arXiv