Interplay between Majorana and Shiba states in a minimal Kitaev chain coupled to a superconductor
arXiv:2407.07050 · doi:10.1103/PhysRevB.110.245144
Abstract
Two semiconducting quantum dots (QDs) coupled through a superconductor constitute a minimal realisation of a Kitaev chain with Majorana zero modes (MZMs). Such MZMs can be detected by e.g., tunneling conductance between each QD and normal leads [Dvir et al, Nature 614, 445 (2023)]. We here discuss how the seemingly trivial substitution of one of the normal leads by a superconducting (SC) one gives rise to a plethora of new effects. In particular, the coupling to the SC lead induces non-local Majorana effects upon variations of the QDs' energies. Furthermore, the lowest excitation of the chain is no longer determined by the bulk gap but rather by the energy of an emergent subgap Yu-Shiba-Rusinov (YSR) state coexisting with the MZMs. The YSR state hybridizes with the MZMs when the coupling between the SC and the QD is larger than the spin splitting, spoiling the Majorana properties, including the quantized conductance.
17 pages, 12 figures
References in corpus (36)
- Non-Abelian Anyons and Topological Quantum Computation
- Introduction to topological superconductivity and Majorana fermions
- Transport spectroscopy of NS nanowire junctions with Majorana fermions
- Realization of a minimal Kitaev chain in coupled quantum dots
- Parity qubits and poor man's Majorana bound states in double quantum dots
- SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
- Coherent manipulation of an Andreev spin qubit
- Singlet and triplet Cooper pair splitting in hybrid superconducting nanowires
- Direct manipulation of a superconducting spin qubit strongly coupled to a transmon qubit
- Shiba states and zero-bias anomalies in the hybrid normal-superconductor Anderson model
- Tunable superconducting coupling of quantum dots via Andreev bound states in semiconductor-superconductor nanowires
- DMFT reveals the non-Hermitian topology in heavy-fermion systems
- 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
- Theory of Majorana zero modes in unconventional superconductors
- Controlled crossed Andreev reflection and elastic co-tunneling mediated by Andreev bound states
- Robust poor man's Majorana zero modes using Yu-Shiba-Rusinov states
- Proximity-induced Shiba states in a molecular junction
- Triplet correlations in Cooper pair splitters realized in a two-dimensional electron gas
- Supercurrent blockade in Josephson junctions with a Majorana wire
- Crossed Andreev reflection and elastic co-tunneling in a three-site Kitaev chain nanowire device
- Spectroscopy of spin-split Andreev levels in a quantum dot with superconducting leads
- Probing Majorana localization in minimal Kitaev chains through a quantum dot
- Strong tunable coupling between two distant superconducting spin qubits
- Enhancing the excitation gap of a quantum-dot-based Kitaev chain
- Minimal quantum dot based Kitaev chain with only local superconducting proximity effect
- Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
- Interplay Between Yu-Shiba-Rusinov States and Multiple Andreev Reflections
- Kitaev chain in an alternating quantum dot-Andreev bound state array
- Josephson effect in a junction coupled to an electron reservoir
- Fermion-parity qubit in a proximitized double quantum dot
- Non-Hermitian zero-energy pinning of Andreev and Majorana bound states in superconductor-semiconductor systems
- Transport and spectral properties of magic angle twisted bilayer graphene junctions based on local orbital models
- Emergent pair symmetries in systems with poor man's Majorana modes
- 2D topological matter from a boundary Green's functions perspective: Faddeev-LeVerrier algorithm implementation
- Honing in on a topological zero-bias conductance peak
Cited by in corpus (9)
- Fate of poor man's Majoranas in the long Kitaev chain limit
- Majorana sweet spots in 3-site Kitaev chains
- Braiding Majoranas in a linear quantum dot-superconductor array: Mitigating the errors from Coulomb repulsion and residual tunneling
- Spin-Exchange Induced Spillover on Poor Man's Majoranas in Minimal Kitaev Chains
- Nonlocal Josephson diode effect in minimal Kitaev chains
- Characterizing local Majorana properties using Andreev states
- Properties and prevalence of false poor man's Majoranas in two- and three-site artificial Kitaev chains
- Entanglement dynamics in minimal Kitaev chains
- Optimal Majoranas in Mesoscopic Kitaev Chains