Coherent coupling between vortex bound states and magnetic impurities in 2D layered superconductors

Park, Sunghun; Barrena, Víctor; Mañas‐Valero, Samuel; Baldoví, José J.; Fente, A.; Herrera, Edwin; Mompeán, F. J.; Garcı́a-Hernández, M.; Rubio, Ángel; Coronado, Eugenio; Guillamón, Isabel; Yeyati, A. Levy; Suderow, Hermann

doi:10.1038/s41467-021-24531-9

Cited by 6 publications

(4 citation statements)

References 44 publications

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“…In order to further compare with experiments, we propose the following first-principles calculations/developments. Firstly, it would be interesting to compute a spatial distribution of the Shiba states along different k directions and compare it to experiments, similarly to references [51][52][53][54]. The experimental dI/dV intensity was shown to oscillate with a periodicity of 5.8 Å, for the Shiba states from the Mn adatom on Pb(111) [43].…”

Section: Discussionmentioning

confidence: 99%

Effects of strong spin-orbit coupling on Shiba states from magnetic adatoms using first-principles theory

et al. 2023

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Magnetic impurities at surfaces of superconductors can induce bound states referred to as Yu-Shiba-Rusinov states (i.e., Shiba states) within superconducting (SC) gaps. For superconductors with strong spin-orbit coupling (SOC), Shiba states arising from even single magnetic adatoms are too complex to be fully understood using effective models alone because SOC cannot be treated perturbatively and multiple orbitals are strongly mixed with spin projections. Here we investigate Shiba states of single magnetic adatoms at the surface of strongly spin-orbit coupled SC Pb, by solving the fully relativistic Dirac-Bogoliubov-de Gennes equations using multiple scattering Green's function methods. For Fe and Co adatoms on Pb(110), we show that the Shiba states are better characterized by total angular momentum, $J$, and its projections on the $z$ axis, $m_J$. As a hallmark of the SOC effect, the Shiba states show a strong dependence of the orientation of the adatom moment. As the orientation of the Fe/Co moment changes, the deepest Shiba states merge at zero energy. This zero-energy state disappears with an additional non-magnetic adatom next to the magnetic adatom, although the other Shiba states unchange. For a Mn adatom on Pb, our Shiba states overall agree with experiments. The characteristics of our Shiba states are also observed with the similar energies and characters in the experiments. The deepest Shiba states that we compute, however, do not appear as close to the Fermi level as the experimental data. It would be interesting to compute the Shiba states with continuously varying vertical distances of the Mn adatom from the surface or with varying the charge state of the adatom, and to calculate the spatial dependence of the spectral density. Our findings will be also useful for understanding of Shiba states for dimers and longer spin chains on the Pb surface considering noncollinear magnetic structures in them.

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Section: Discussionmentioning

confidence: 99%

Effects of strong spin-orbit coupling on Shiba states from magnetic adatoms using first-principles theory

et al. 2023

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“…Our results indicate that a more complex pinning mechanism can play a role in the low field region in NiBi 3 single crystals. It is reasonable to argue that the possible interplay between magnetism and superconductivity [61] combined with the quasi-1D character of the material could have an influence in the pinning mechanisms relevant in this range of magnetic fields where a reentrance of the vortex liquid phase is observed. Low temperature local probe techniques could shed light on this matter, although this goes beyond the scope of the present work.…”

Section: Discussionmentioning

confidence: 99%

Enhancement of vortex liquid phase and reentrant behavior in NiBi₃ single crystals

Rollano

Ory

Gómez

et al. 2023

Supercond. Sci. Technol.

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We investigate the vortex phase diagram of needle shaped high quality NiBi3 single crystals by transport measurements. The current is applied along the crystalline b-axis of this intermetallic quasi-1D BCS superconductor. The single crystals show a Ginzburg-Levanyuk (Gi) parameter of about 10-7, larger by two orders of magnitude than Gi in elemental low Tc BCS superconductors. Vortex phase diagram, critical currents and pinning forces have been extracted from the experimental data. We observe (i) an enhancement of the vortex liquid phase, (ii) a reentrance of the liquid phase at low fields and (iii) an unusual magnetic field dependence of the pinning force. We suggest that these phenomena result from the interplay between pinning due to quenched disorder and the quasi-1D character of the material which could lead, for instance, to more complex pinning mechanisms at play.

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“…The spatial shift is about (0.32 ± 0.12)λ based on Figure d. The spatially periodic variation of the particle–hole asymmetry is different from the axial electron–hole asymmetry of the vortex core due to its coupling to nearby magnetic impurities . It should be noted that the discrete VBS is observed in both Ni-doped and undoped samples, because E F is small, and therefore, the quantum limit is satisfied in this family of materials.…”

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confidence: 83%

Bamboo-like Vortex Chains Confined in Canals with Suppressed Superconductivity and Standing Waves of Quasiparticles

et al. 2022

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The vortex core can be regarded as a nanoscale confined system for quasiparticles in a type-II superconductor. It is very interesting to investigate the interplay between the vortex core and other microscopic quantum confined systems. We observe band-like canals with the width of about 15 nm on the surface of KCa2(Fe1–x Ni x )4As4F2 (x = 0.05) by scanning tunneling microscopy. Some canals suppress superconductivity and confine parallel standing waves due to the quasiparticle interference. Upon magnetic fields being applied, some elongated vortices are formed within canals showing bamboo-like one-dimensional vortex chains. Interestingly, the confined vortex cores are elongated roughly along the perpendicular direction of canals, and the local density of states at positive and negative energies shows an in-phase oscillation at zero field; but, it becomes out-of-phase crossing the vortex cores. Our work reveals a new type of vortex patterns in confined canals and its interplay with the quasiparticle interference.

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Coherent coupling between vortex bound states and magnetic impurities in 2D layered superconductors

Cited by 6 publications

References 44 publications

Effects of strong spin-orbit coupling on Shiba states from magnetic adatoms using first-principles theory

Effects of strong spin-orbit coupling on Shiba states from magnetic adatoms using first-principles theory

Enhancement of vortex liquid phase and reentrant behavior in NiBi₃ single crystals

Bamboo-like Vortex Chains Confined in Canals with Suppressed Superconductivity and Standing Waves of Quasiparticles

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Coherent coupling between vortex bound states and magnetic impurities in 2D layered superconductors

Cited by 6 publications

References 44 publications

Effects of strong spin-orbit coupling on Shiba states from magnetic adatoms using first-principles theory

Effects of strong spin-orbit coupling on Shiba states from magnetic adatoms using first-principles theory

Enhancement of vortex liquid phase and reentrant behavior in NiBi3 single crystals

Bamboo-like Vortex Chains Confined in Canals with Suppressed Superconductivity and Standing Waves of Quasiparticles

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Enhancement of vortex liquid phase and reentrant behavior in NiBi₃ single crystals