Majorana States in 2D Topological Superconductor Hosting Abrikosov Vortices

Akzyanov, R. S.; Rakhmanov, A. L.

doi:10.1007/s10948-017-4095-4

Cited by 4 publications

(6 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In some situations even when the s-wave superconducting pairing gap is nonzero, gapless edge states and zero-energy Majorana modes in vortex cores emerge [4][5][6]. It is possible in some range of parameters, when the system is in the topologically non-trivial phase [7][8][9][10]. Recent experiments performed in Bi 2 Te 3 /NbSe 2 heterostructure seem to confirm this hypothesis [11] by observation of the zero-bias peak in the tunneling differential conductance at the vortex center [12].…”

Section: Introductionmentioning

confidence: 92%

Influence of the orbital effects on the Majoranaquasi-particles in a nanowire

Kiczek

Ptok

2017

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

Majorana quasi-particles can be realised using magnetic field in the form of diamagnetic (orbital) or paramagnetic effects. In both cases, the magnetic field induces a topologically non-trivial phase of matter. In this paper, the influence of orbital effects on Majorana bound states induced by paramagnetic effects in 1D nanowire is elaborated. The role of orbital effects in density of states and eigenstates of the system is also discussed. Additionally, we show the phase diagram-the magnetic field versus the magnetic flux, which displays a relation between topologically trivial and non-trivial phases. The Majorana bound states existence in the presence of relatively small orbital effects is indicated.

show abstract

Section: Introductionmentioning

confidence: 92%

Influence of the orbital effects on the Majoranaquasi-particles in a nanowire

Kiczek

Ptok

2017

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

show abstract

“…First of all, it should be noted that if ∆ ± k are the real functions, then the BdG Hamiltonian (11) can easily be transformed to an off-diagonal view:…”

Section: Topological Invariants and Majorana Fermions In 2d Magnetic ...mentioning

confidence: 99%

“…It is known that the effective time-reversal symmetry can be present in the exact 1D theoretical models similar to (11) even in the presence of the magnetic field (see for example [83,90,99,127,131,132]). Such an additional symmetry leads to the BDI class topological symmetry instead of the D class.…”

Section: Topological Invariants and Majorana Fermions In 2d Magnetic ...mentioning

confidence: 99%

“…Usually, the differences in the topological features between two classes appear only when the long-range or even nextnearest electron hoppings and pairings are taken into account. Nevertheless, for the 2D system (11) the D class symmetry is believed to be implemented [93,100]. In the following, we will also focus on the chiral d-wave superconductivity breaking the time-reversal symmetry even in the absence of the magnetic field.…”

Section: Topological Invariants and Majorana Fermions In 2d Magnetic ...mentioning

confidence: 99%

“…In quasi-1D quantum wires, MMs can be localized at the edges or inhomogeneities [8], while in 2D systems they can occur on superconducting [3,[9][10][11] or magnetic vortices [12] and corners [13] (see, also references below). In this case, the nonlocal structure of Majorana quasiparticles is the reason for their stability to local external perturbations.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Aspects of topological superconductivity in 2D systems: noncollinear magnetism, skyrmions, and higher-order topology

Zlotnikov,

Shustin,

Fedoseev

2021

Preprint

View full text Add to dashboard Cite

The review is aimed at highlighting the aspects of topological superconductivity in the absence of spin-orbit interaction in two-dimensional systems with long-range non-collinear spin ordering or magnetic skyrmions. Another purpose is to give a brief introduction to the new concept of topological superconductivity, i.e. higher-order topology in two-dimensional systems including spin-orbit coupled structures. The formation of Majorana modes due to magnetic textures is discussed. The role of effective triplet pairings and odd fermion parity of the ground state wave function in different systems is emphasized. We describe the peculiarities of the magnetic skyrmions, leading to the formation of the Majorana modes and defects on which the modes are localized. The problem of braiding in the two-dimensional systems, especially in higher-order topological superconductors, is considered.

show abstract