Full Counting Statistics of Yu-Shiba-Rusinov Bound States
arXiv:2305.04758 · doi:10.1103/PhysRevResearch.5.033176
Abstract
With the help of scanning tunneling microscopy (STM) it has become possible to address single magnetic impurities on superconducting surfaces and to investigate the peculiar properties of the in-gap states known as Yu-Shiba-Rusinov (YSR) states. However, until very recently YSR states were only investigated with conventional tunneling spectroscopy, missing the crucial information contained in other transport properties such as shot noise. Here, we adapt the concept of full counting statistics (FCS) to provide a very deep insight into the spin-dependent transport in these hybrid systems. We illustrate the power of FCS by analyzing different situations in which YSR states show up including single-impurity junctions, as well as double-impurity systems where one can probe the tunneling between individual YSR states. The FCS concept allows us to unambiguously identify every tunneling process that plays a role in these situations. Moreover, FCS provides all the relevant transport properties, including current, shot noise and all the cumulants of the current distribution. Our approach can reproduce the experimental results recently reported on the shot noise of a single-impurity junction with a normal STM tip. We also predict the signatures of resonant (and non-resonant) multiple Andreev reflections in the shot noise of single-impurity junctions with two superconducting electrodes. In the case of double-impurity junctions we show that the direct tunneling between YSR states is characterized by a strong reduction of the Fano factor that reaches a minimum value of 7/32, a new fundamental result in quantum transport. The FCS approach presented here can be naturally extended to investigate the spin-dependent superconducting transport in a variety of situations, and it is also suitable to analyze multi-terminal superconducting junctions, irradiated contacts, and many other basic situations.
32 pages, 17 figures
References in corpus (28)
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Correlated electron systems periodically driven out of equilibrium: Floquet + DMFT formalism
- Coherent manipulation of an Andreev spin qubit
- Diode effect in Josephson junctions with a single magnetic atom
- Orbital Picture of Yu-Shiba-Rusinov Multiplets
- Direct manipulation of a superconducting spin qubit strongly coupled to a transmon qubit
- Single fermion manipulation via superconducting phase differences in multiterminal Josephson junctions
- Controlled length-dependent interaction of Majorana modes in Yu-Shiba-Rusinov chains
- Topological Andreev bands in three-terminal Josephson junctions
- Production of non-local quartets and phase-sensitive entanglement in a superconducting beam splitter
- Scaling of Yu-Shiba-Rusinov energies in the weak-coupling Kondo regime
- Microscopic resolution of the interplay of Kondo screening and superconducting pairing: Mn-phthalocyanine molecules adsorbed on superconducting Pb(111)
- Signatures of interactions in the Andreev spectrum of nanowire Josephson junctions
- Superconducting atomic contacts under microwave irradiation
- Observation of tunable single-atom Yu-Shiba-Rusinov states
- Microwave-assisted tunneling and interference effects in superconducting junctions under fast driving signals
- Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime
- Photon-assisted tunneling at the atomic scale: Probing resonant Andreev reflections from Yu-Shiba-Rusinov states
- Topological properties of multi-terminal superconducting nanostructures: effect of a continuous spectrum
- Superconducting Quantum Interference at the Atomic Scale
- Interplay Between Yu-Shiba-Rusinov States and Multiple Andreev Reflections
- Photon-assisted resonant Andreev reflections: Yu-Shiba-Rusinov and Majorana states
- Pair excitations of a quantum spin on a proximitized superconductor
- Identifying Majorana bound states by tunneling shot-noise tomography
- Coherent and incoherent tunneling into YSR states revealed by atomic scale shot-noise spectroscopy
- Tunneling processes between Yu-Shiba-Rusinov bound states
- Resonance-enhanced vibrational spectroscopy of molecules on a superconductor
- Direct Transport between Superconducting Subgap States in a Double Quantum Dot
Cited by in corpus (5)
- Non-hermitian topology in multiterminal superconducting junctions
- Thermodynamic uncertainty relations in superconducting junctions
- Importance Sampling for counting statistics in one-dimensional systems
- DC Josephson effect between two Yu-Shiba-Rusinov bound states
- Diode effect in microwave irradiated Josephson junctions with Yu-Shiba-Rusinov states