Interplay of correlations and Majorana mode from local solution perspective
- 18 November 2024
- journal article
- research article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 37 (5) , 055302
Abstract
We study the quasiparticle spectrum of a hybrid system, comprising a correlated (Anderson-type) quantum dot coupled to a topological superconducting nanowire hosting the Majorana boundary modes. From the exact solution of the low-energy effective Hamiltonian, we uncover a subtle interplay between Coulomb repulsion and the Majorana mode. Our analytical expressions show that the spectral weight of the leaking Majorana mode is sensitive to both the quantum dot energy level and the repulsive potential. We compare our results with estimations by Ricco et al (2019 Phys. Rev.B 99 155159) obtained for the same hybrid structure using the Hubbard-type decoupling scheme, and analytically quantify the spectral weight of the zero-energy (topological) mode coexisting with the finite-energy (trivial) states of the quantum dot. We also show that empirical verification of these spectral weights could be feasible through spin-polarized Andreev spectroscopy.Keywords
All Related Versions
Funding Information
- Narodowe Centrum Nauki (2022/04/Y/ST3/00061)
This publication has 36 references indexed in Scilit:
- Spin-selective transport in a correlated double quantum dot-Majorana wire systemScientific Reports, 2024
- Spin effects on transport and zero-bias anomaly in a hybrid Majorana wire-quantum dot systemScientific Reports, 2023
- Realization of a minimal Kitaev chain in coupled quantum dotsNature, 2023
- Majorana-like Coulomb spectroscopy in the absence of zero-bias peaksNature, 2022
- Singlet and triplet Cooper pair splitting in hybrid superconducting nanowiresNature, 2022
- Leakage of Majorana mode into correlated quantum dot nearby its singlet-doublet crossoverJournal of Physics: Condensed Matter, 2019
- Spin dependence of crossed Andreev reflection and electron tunneling induced by Majorana fermionsJournal of Physics: Condensed Matter, 2018
- Probing Majorana bound states via counting statistics of a single electron transistorScientific Reports, 2015
- In-gap states of a quantum dot coupled between a normal and a superconducting leadJournal of Physics: Condensed Matter, 2013
- Spectral properties of locally correlated electrons in a Bardeen–Cooper–Schrieffer superconductorJournal of Physics: Condensed Matter, 2007