Spin-Polarized Majorana Bound States inside a Vortex Core in Topological Superconductors

@article{Nagai2014SpinPolarizedMB,
  title={Spin-Polarized Majorana Bound States inside a Vortex Core in Topological Superconductors},
  author={Yuki Nagai and Hiroki Nakamura and Masahiko Machida},
  journal={Journal of the Physical Society of Japan},
  year={2014},
  volume={83},
  pages={064703}
}
We reveal that Majorana bound states inside the vortex core in an odd-parity topological superconductivity classified as “pseudo-scalar” type in the gap function are distinctly spin-polarized by solving the massive Dirac Bogoliubov–de Gennes (BdG) equation considering the spin–orbit coupling. This result is universal for “Dirac superconductivity” whose rotational degree of freedom is characterized by the total angular momentum J = S + L and in marked contrast to the spin-degeneracy of the core… 

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References

SHOWING 1-10 OF 35 REFERENCES
Spin and Majorana polarization in topological superconducting wires.
TLDR
The local Majorana polarization is correlated to the transverse spin polarization, and it is proposed to test the presence of Majorana fermions in a 1D system by a spin-polarized density of states measurement.
Rotational Isotropy Breaking as Proof for Spin-polarized Cooper Pairs in the Topological Superconductor CuxBi2Se3
In a promising candidate of topological superconductors, CuxBi2Se3, we propose a way to exclusively determine the pairing symmetry. The proposal suggests that the angle dependence of the thermal
Odd-parity topological superconductors: theory and application to CuxBi2Se3.
TLDR
This Letter provides a sufficient criterion for realizing time-reversal-invariant topological superconductor in centrosymmetric superconductors with odd-parity pairing, and proposes that CuxBi2Se3 is a good candidate for a topologicalsuperconductor.
Odd-parity pairing and topological superconductivity in a strongly spin-orbit coupled semiconductor.
The existence of topological superconductors preserving time-reversal symmetry was recently predicted, and they are expected to provide a solid-state realization of itinerant massless Majorana
Angular band structure of a vortex line in a type-II superconductor.
TLDR
It is found that breaking the rotational invariance of a vortex line by means of either an anisotropic crystal potential or by the presence of neighboring vortices induces an {ital angular} band structure in the low-energy part of the quasiparticle spectrum.
Vortex structure in chiral p-wave superconductors
We investigate the vortex structure in chiral p-wave superconductors by the Bogoliubov-de Gennes theory on a tight-binding model. We calculate the spatial structure of the pair potential and
Vortex charging effect in a chiral p x +/-ip y -wave superconductor
Quasiparticle states around a single vortex in a p x ′ip y -wave superconductor are studied on the basis of the Bogoliubov-de Gennes (BdG) theory, where both charge and current screenings are taken
Spin-Orbit Coupling and the in-Plane Anisotropy of the Upper Critical Field in Sr2RuO4.
The anomalous temperature dependence of the in-plane H c 2 anisotropy of Sr 2 RuO 4 is discussed based on a model which includes spin-orbit coupling effects. While the basic superconducting state
Direct numerical demonstration of sign-preserving quasiparticle interference via an impurity inside a vortex core in an unconventional superconductor
We perform large-scale numerical calculations self-consistently solving the Bogoliubov-de Gennes (BdG) equations in the magnetic field together with random impurities to directly demonstrate the
Self-consistent electronic structure of a vortex line in a type-II superconductor.
TLDR
The electronic structure of a vortex line in a type-II superconductor is calculated self-consistently in the framework of the Bogoliubov--de Gennes theory, and the resulting local density of states has a characteristic star shape in real space, whose orientation is energy dependent, in agreement with recent STM experiments.
...
1
2
3
4
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