Spin-Exchange Induced Spillover on Poor Man's Majoranas in Minimal Kitaev Chains
arXiv:2504.20321 · doi:10.1088/1361-648X/adce6a
Abstract
The "Poor Man's Majoranas" (PMMs) [Phys. Rev. B 86, 134528 (2012)] devoid of topological protection can "spill over" from one edge into another of the minimal Kitaev chain when perturbed electrostatically. As aftermath, this leads to a delocalized Majorana fermion (MF) at both the edges. Additionally, according to recent differential conductance measurements in a pair of superconducting and spinless quantum dots (QDs), such a PMM picture was brought to reality [Nature 614, 445 (2023) and Nature 630, 329 (2024)]. Based on this scenario, we propose the spillover of the PMM when its QD is exchange coupled to a quantum spin . We show that if this QD is perturbed by the exchange coupling , solely the half of the fine structure stays explicit for a fermionic (bosonic) Concurrently, the other half squeezes itself as the delocalized MF zero-mode. Particularly, turning-off the superconductivity the multiplicity holds regardless the spin statistics. Meanwhile, the PMM spillover induced by becomes a statistics dependent effect. Hence, our findings contribute to the comprehension of spin-phenomena interplay with superconductivity in minimal Kitaev chains, offering insights for future quantum computing devices hosting PMMs.
References in corpus (53)
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Search for Majorana fermions in superconductors
- Topological superconductors: a review
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Introduction to topological superconductivity and Majorana fermions
- Majorana fermions in chains of magnetic atoms on a superconductor
- Topological Superconductivity and Majorana Fermions in RKKY Systems
- Topological superconducting phase in helical Shiba chains
- Milestones toward Majorana-based quantum computing
- Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
- Scaling of Majorana Zero-Bias Conductance Peaks
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
- Majorana Fermions and Topology in Superconductors
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
- Self-Organized Topological State with Majorana Fermions
- Realization of a minimal Kitaev chain in coupled quantum dots
- Random-matrix theory of Majorana fermions and topological superconductors
- Distinguishing a Majorana zero mode using spin resolved measurements
- How to realize a robust practical Majorana chain in a quantum dot-superconductor linear array
- InAs-Al Hybrid Devices Passing the Topological Gap Protocol
- Parity qubits and poor man's Majorana bound states in double quantum dots
- Two-dimensional p-wave superconducting states with magnetic moments on a conventional s-wave superconductor
- Subtle leakage of a Majorana mode into a quantum dot
- Unconventional topological phase transitions in helical Shiba chains
- Topological superconductivity and Majorana fermions in half-metal / superconductor heterostructure
- Controlled length-dependent interaction of Majorana modes in Yu-Shiba-Rusinov chains
- Majorana nanowires for topological quantum computation
- Topological Superconductivity and Majorana Fermions in Metallic Surface-States
- A two-site Kitaev chain in a two-dimensional electron gas
- Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
- Majorana Fermions in Magnetic Chains
- Readout of Majorana Qubits
- Majorana bound states in semiconducting nanostructures
- Probing Majorana localization in minimal Kitaev chains through a quantum dot
- Kondo and Majorana signatures near the singlet-doublet quantum phase transition
- Parity-to-charge conversion in Majorana qubit readout
- Topologically nontrivial Andreev bound states
- Fermion-parity qubit in a proximitized double quantum dot
- From perfect to imperfect poor man's Majoranas in minimal Kitaev chains
- Majorana zero modes induced by superconducting phase bias
- Fate of poor man's Majoranas in the long Kitaev chain limit
- Interplay between Majorana and Shiba states in a minimal Kitaev chain coupled to a superconductor
- Probing Majorana zero modes by measuring transport through an interacting magnetic impurity