# 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…

## 11 Citations

Topological superconductivity and Majorana bound states at the LaAlO3/SrTiO3 interface

- Physics
- 2014

The interface between two band insulators LaAlO3 and SrTiO3 exhibits low-temperature superconductivity coexisting with an in-plane ferromagnetic order. We show that topological superconductivity…

Inhomogeneity Effects in Topological Superconductors

- Physics
- 2013

We have constructed a quasiclassical framework on superconductors with strong spin-orbit couplings, applicable to CuxBi2Se3[Y. Nagai, H. Nakamura, and M. Machida: arXiv:1305.3025]. The notable point…

Surface States around a Vortex in Topological Superconductors: Intersection of a Surface and a Vortex

- Physics
- 2015

We numerically show that zero-energy Majorana surface states are suppressed around a vortex in three-dimensional topological superconductors such as CuxBi2Se3 and Sn1−xInxTe. On the other hand,…

Full-gap superconductivity in spin-polarised surface states of topological semimetal β-PdBi2

- Physics, MedicineNature Communications
- 2017

The spin textures at the surface of a superconductor β-PdBi2 are determined and the superconducting gap opens in all spin-polarised surface states, consistent with a possible spin-triplet order parameter expected for such in-plane spin textures.

Effect of Fermi surface evolution on superconducting gap in superconducting topological insulator

- Physics
- 2014

We study the bulk electronic states of a superconducting topological insulator, which is a promising candidate topological superconductors. Recent experiments suggest that the three-dimensional Fermi…

Topology of crystalline insulators and superconductors

- Physics
- 2014

We complete a classification of topological phases and their topological defects in crystalline insulators and superconductors. We consider topological phases and defects described by noninteracting…

Nematic Superconductivity in Doped Bi2Se3 Topological Superconductors

- PhysicsCondensed Matter
- 2018

Nematic superconductivity is a novel class of superconductivity characterized by spontaneous rotational-symmetry breaking in the superconducting gap amplitude and/or Cooper-pair spins with respect to…

Hunting Majorana Fermions in Topological Superconductors

- Physics
- 2014

Theoretical research shows a vortex core in three-dimensional topological superconductors traps a spin-polarized Majorana fermion.

Author Correction: Full-gap superconductivity in spin-polarised surface states of topological semimetal β-PdBi2

- Physics, MedicineNature Communications
- 2017

The calculated patterns of quasiparticle interference in the figure were incorrect due to the wrong Wannier transformation in the calculation.

## References

SHOWING 1-10 OF 35 REFERENCES

Spin and Majorana polarization in topological superconducting wires.

- Physics, MedicinePhysical review letters
- 2012

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

- Physics
- 2012

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.

- Physics, MedicinePhysical review letters
- 2010

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.

- Physics, MedicinePhysical review letters
- 2012

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.

- Physics, MedicinePhysical review letters
- 1990

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

- Physics
- 2001

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

- Physics
- 2001

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.

- Physics
- 2000

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

- Physics
- 2012

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.

- Physics, MedicinePhysical review. B, Condensed matter
- 1991

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.