2020
DOI: 10.1103/physrevb.101.195421
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Majorana-like localized spin density without bound states in topologically trivial spin-orbit coupled nanowires

Abstract: In the topological phase of spin-orbit coupled nanowires Majorana bound states are known to localize at the nanowire edges and to exhibit a spin density orthogonal to both the magnetic field and the spin-orbit field. By investigating a nanowire exposed to a uniform magnetic field with an interface between regions with different spin-orbit couplings, we find that the orthogonal spin density is pinned at the interface even when both interface sides are in the topologically trivial phase, and even when no bound s… Show more

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Cited by 15 publications
(8 citation statements)
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References 102 publications
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“…We mention that, when the two spin-orbit energies across the interface are different, the alignment can be restored if the applied magnetic is sufficiently strong. Then, the interface bound state appears for magnetic gap energy above a threshold value Δ Z , as has been recently shown [75].…”
Section: Interface Bound Statessupporting
confidence: 57%
See 1 more Smart Citation
“…We mention that, when the two spin-orbit energies across the interface are different, the alignment can be restored if the applied magnetic is sufficiently strong. Then, the interface bound state appears for magnetic gap energy above a threshold value Δ Z , as has been recently shown [75].…”
Section: Interface Bound Statessupporting
confidence: 57%
“…The inhomogeneous case cannot be treated analytically in general. Except for the case of a piecewise profile, where the solution can be constructed by matching homogeneous solutions with appropriate boundary conditions [68,69,75], a numerical approach is needed to obtain the spectrum and the eigenfunctions. To this purpose, denoting by Ω the length of the whole system and imposing periodic boundary conditions over Ω, we rewrite the Hamiltonian aŝ…”
Section: The Inhomogeneous Casementioning
confidence: 99%
“…We mention that, when the two spin-orbit energies across the interface are different, the alignment can be restored if the applied magnetic is sufficiently strong. Then, the interface bound state appears for magnetic gap energy above a threshold value ∆ Z , as has been recently shown [69].…”
Section: Interface Bound Statessupporting
confidence: 59%
“…The inhomogeneous case cannot be treated analytically in general. Except for the case of a piecewise profile, where the solution can be constructed by matching homogeneous solutions with appropriate boundary conditions [62,63,69], a numerical approach is needed to obtain the spectrum and the eigenfunctions. To this purpose, denoting by Ω the length of the whole system and imposing periodic boundary conditions over Ω, we rewrite the Hamiltonian as…”
Section: The Inhomogeneous Casementioning
confidence: 99%
“…Indeed, zero-bias peaks could also be due to the presence of other trivial zero-energy bound states mimicking MBS [9], like e.g. Yu-Shiba-Rusinov (YSR) bound states [13] and Andreed bound states (ABS) [14][15][16][17][18][19][20].…”
mentioning
confidence: 99%