Majorana bound states in vortex lattices on iron-based superconductors

Pathak, Vedangi; Plugge, Stephan; Franz, Marcel

doi:10.1016/j.aop.2021.168431

Cited by 12 publications

(11 citation statements)

References 30 publications

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“…where the positive excitation energies ε j are chosen. According to [19] it is more informative to use the local DOS integrated over a region around a vortex core, edges, etc. :…”

Section: Model and Methodsmentioning

confidence: 99%

“…For superconductors with spin-singlet Cooper pairings an additional interaction, mixing electrons with different spins, should exist to induce topological superconductivity with Majorana modes. Therefore, Majorana modes were predicted in the vortex state in spin-singlet superconductors with pronounced spin-orbit interaction [15,16], topological insulator / superconductor heterostructures [17,18], iron chalcogenide FeTe 0.55 Se 0.45 [19], superconducting Dirac and Weyl semimetals [20].…”

Section: Introductionmentioning

confidence: 99%

“…Majorana bound states in vortices can be detected by scanning tunneling spectroscopy (for example, [18,19,40]). It is known that in the simplest approximation the tunneling conductance is proportional to the local density of states.…”

Section: Introductionmentioning

confidence: 99%

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Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study

Zlotnikov¹

2022

Preprint

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In the present study topologically nontrivial edge and vortex bound states are described in the coexistence phase of chiral spin-singlet superconductivity and noncollinear spin ordering on a triangular lattice. Since chiral superconductivity is nodeless in a wide range of parameters, the obtained bound states are separated from trivial bulk states. It is proved that Majorana modes localized at vortex cores are caused by noncollinear long-range magnetic ordering. Even though nearby excitation energies of subgap states including the edge-localized and vortex-localized states are very close to each other, the energy difference between different vortex bound states is an order of magnitude higher. It opens the way to experimentally detect the zero energy Majorana modes localized at vortex cores in the considered structures by using methods measuring local density of states such as tunneling experiments. For a few pairs of vortices, vortex bound states with near zero energy can appear. Nevertheless, they are localized on different vortices in comparison with the localization of Majorana vortex modes. In this case zero modes are still separated in energy and space from other states in local density of states results. The difference between density of states near the vortex and near the antivortex hosting Majorana modes is also demonstrated.

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“…where the positive excitation energies ε j are chosen. According to [19] it is more informative to use the local DOS integrated over a region around a vortex core, edges, etc. :…”

Section: Model and Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study

Zlotnikov¹

2022

Preprint

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“…Previous works investigating SC in quantum Hall (QH) systems have focused on proximity-coupled superconductivity, so that the SC pairing potential has been treated as an external field, and has not been determined selfconsistently [30][31][32][33][34][35][36][37][38]. However, because the pairing potential is not gauge invariant (it transforms with charge 2e), the choice of the form of the (proximity-induced) pairing potential must be specified together with the gauge.…”

mentioning

confidence: 99%

Phase diagram of superconductivity in the integer quantum Hall regime

Schirmer,

Liu,

Jain

2022

Preprint

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An interplay between pairing and topological orders has been predicted to give rise to superconducting states supporting exotic emergent particles, such as Majorana particles obeying non-Abelian braid statistics. We consider a system of spinless electrons on a Hofstadter lattice with nearest neighbor attractive interaction, and solve the mean-field Bogoliubov-de Gennes equations in a self-consistent fashion, leading to gauge invariant solutions that display a rich phase diagram as a function of the chemical potential, magnetic field and the interaction. As the strength of the attractive interaction is increased, the system first makes a transition from a quantum Hall phase to a skyrmion lattice phase that is fully gapped in the bulk but has topological chiral edge current, characterizing a topologically non-trivial state. This is followed by a vortex phase in which the vortices carrying Majorana modes form a lattice; the spectrum contains a low-energy Majorana band arising from the coupling between neighboring vortex-core Majorana modes but does not have chiral edge currents. For some parameters, a dimer vortex lattice occurs with no low energy Majorana band. The experimental feasibility and the observable consequences of skyrmions as well as Majorana fermions are indicated.

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“…More details on the model and its real-space implementation in the presence of vortices can be found in Ref. [31]. Some representative results are given in Fig.…”

mentioning

confidence: 99%

High-temperature Majorana zero modes

Mercado,

Sahoo,

Franz

2021

Preprint

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We employ general arguments and numerical simulations to show that unpaired Majorana zero modes can occur in cores of Abrikosov vortices at the interface between a three-dimensional topological insulator, such as Bi2Se3, and a twisted bilayer of high-Tc cuprate superconductor, such as Bi2Sr2CaCu2O 8+δ . When the twist angle is close to 45 o the latter forms a fully gapped topological superconductor up to temperatures approaching its native Tc 90K. Majorana zero modes in these structures will be protected by large gaps and persist up to unprecedented high temperatures.

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Majorana bound states in vortex lattices on iron-based superconductors

Cited by 12 publications

References 30 publications

Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study

Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study

Phase diagram of superconductivity in the integer quantum Hall regime

High-temperature Majorana zero modes

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