Interplay of correlations and Majorana mode from local solution perspective

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 boundarymodes. 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 L.S. Ricco et al. Phys. Rev. B 99, 155159 (2019) 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.

References in corpus (28)

• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Realization of a minimal Kitaev chain in coupled quantum dots
• Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
• Nonlocality of Majorana Modes in Hybrid Nanowires
• Measuring Majorana non-locality and spin structure with a quantum dot
• Subtle leakage of a Majorana mode into a quantum dot
• Spectral properties of locally correlated electrons in a BCS superconductor
• Selective Equal-Spin Andreev Reflections Induced by Majorana Fermions
• Ubiquitous non-Majorana Zero-Bias Conductance Peaks in Nanowire Devices
• Scheme to measure Majorana fermion lifetimes using a quantum dot
• Singlet and triplet Cooper pair splitting in hybrid superconducting nanowires
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Detection of a Majorana-fermion zero mode by a T-shaped quantum-dot structure
• Thermoelectric signatures of a Majorana bound state coupled to a quantum dot
• Spin-dependent zero-bias peak in a hybrid nanowire-quantum dot system: Distinguishing isolated Majorana fermions from Andreev bound states
• Local and non-local quantum transport due to Andreev bound states in finite Rashba nanowires with superconducting and normal sections
• Interplay between Kondo and Majorana interactions in quantum dots
• Metal-Quantum Dot-Topological Superconductor Junction: Kondo correlations and Majorana Bound States
• Probing Majorana localization in minimal Kitaev chains through a quantum dot
• Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
• How to measure the Majorana polarization of a topological planar Josephson junction
• Leakage of Majorana mode into correlated quantum dot nearby its singlet-doublet crossover
• Probing Majorana bound states via counting statistics of a single electron transistor
• Majorana bound state in the continuum: Coupling between Majorana bound state and quantum dot mediated by continuum
• Transport in a hybrid normal-topological superconductor Kondo model
• Exactly solvable Majorana-Anderson impurity models