Boundary-Obstructed Topological High-
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 Superconductivity in Iron Pnictides

Wu, Xianxin; Benalcazar, Wladimir A.; Li, Yinxiang; Thomale, Ronny; Liu, Chao Xing; Hu, Jiangping

doi:10.1103/physrevx.10.041014

Cited by 81 publications

(45 citation statements)

References 56 publications

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“…While the higher-order topological superconductor platform provides a feasible realization of our proposal, our results are established within the framework of the universal effective field theory description of the topological edge states, which can then be straightforwardly adapted to other systems with the same low-energy description. For instance, we note that the corner MZMs have been shown to exist in similar platforms with iron-based high-T c superconductors [46,61]. In general, all of our results can be easily applied to MZMs realized at domain walls between magnetic and superconducting regions on the edge of a quantum spin Hall insulator.…”

Section: Clifford and Phase Gates Via Manipulating Majorana Modes Within And Across Corners 19 5 Braiding Parafermion Modes 21 6 Conclusisupporting

confidence: 54%

Symmetry-protected gates of Majorana qubits in a high-$T_c$ higher-order topological superconductor platform

2021

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We propose a platform for braiding Majorana non-Abelian anyons based on a heterostructure between a dd-wave high-T_cTc superconductor and a quantum spin-Hall insulator. It has been recently shown that such a setup for a quantum spin-Hall insulator leads to a pair of Majorana zero modes at each corner of the sample, and thus can be regarded as a higher-order topological superconductor. We show that upon applying a Zeeman field in the region, these Majorana modes split in space and can be manipulated for braiding processes by tuning the field and pairing phase. We show that such a setup can achieve full braiding, exchanging, and arbitrary phase gates (including the \pi/8π/8 magic gates) of the Majorana zero modes, all of which are robust and protected by symmetries. As many of the ingredients of our proposed platform have been realized in recent experiments, our results provide a new route toward universal topological quantum computation.

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Section: Clifford and Phase Gates Via Manipulating Majorana Modes Within And Across Corners 19 5 Braiding Parafermion Modes 21 6 Conclusisupporting

confidence: 54%

Symmetry-protected gates of Majorana qubits in a high-$T_c$ higher-order topological superconductor platform

2021

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“…While the higher-order topological superconductor platform provides a feasible realization of our proposal, our results are established within the framework of the universal effective field theory description of the topological edge states, which can then be straightforwardly adapted to other systems with the same low-energy description. For instance, we note that the corner MZMs have been shown to exist in similar platforms with ironbased high-T c superconductors [46,62]. In general, all of our results can be easily applied to MZMs realized at domain walls between magnetic and superconducting regions on the edge of a quantum spin Hall insulator.…”

Section: Introductionsupporting

confidence: 54%

Report on scipost_202105_00003v1

2021

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“…10) design of Majorana Kramer pairs which preserve the time-reversal symmetry. Majorana Kramer pairs are predicted to appear on the boundary of some iron-based superconductors, providing the s± superconducting pairing applied on the topological surface state [294,295]. 11) design of high-order MZMs [296][297][298][299].…”

Section: Discussionmentioning

confidence: 99%

Emergent vortex Majorana zero mode in iron-based superconductors

Kong¹,

Ding²

2020

Acta Phys. Sin.

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The vortex of iron-based superconductors is emerging as a promising platform for Majorana zero mode, owing to a magic integration among intrinsic vortex winding, non-trivial band topology, strong electron-electron correlations, high-Tc superconductivity and the simplification of single material. It overcomes many difficulties suffered in heterostructure-based Majorana platforms, including small topological gap, interfacial contamination, lattice imperfections, and etc. Isolated zero-bias peaks have been found in vortex of several iron-based superconductors. So far, studies from both experimental and theoretical aspects strongly indicate the realization of vortex Majorana zero mode, with a potential to be applied to fault-tolerant quantum computation. By taking Fe(Te,Se) superconductor as an example, here we review the original idea and research progress of Majorana zero modes in this new platform. After introducing the identifications of topological band structure and real zero modes in vortex, we summarize the physics behaviors of vortex Majorana zero modes systematically. First, relying on the behavior of the zero mode wave function and evidence of quasiparticle poisoning, we analyze the mechanism of emergence of vortex Majorana zero modes. Secondly, assisted with some well-established theories, we elaborate the measurements on "Majorana symmetry" and topological nature of vortex Majorana zero modes. After that, we switch from quantum physics to quantum engineering, and analyze the performance of vortex Majorana zero modes under real circumstances, which may potentially benefit the exploration of practical applications in the future. This review follows the physics properties of vortex Majorana zero modes, especially emphasizes the link between phenomena and mechanisms. It provides a chance to bridge the gap between the well-established theories and the newly discovered "iron home" of Majoranas.

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Boundary-Obstructed Topological High- Tc Superconductivity in Iron Pnictides

Cited by 81 publications

References 56 publications

Symmetry-protected gates of Majorana qubits in a high-$T_c$ higher-order topological superconductor platform

Symmetry-protected gates of Majorana qubits in a high-$T_c$ higher-order topological superconductor platform

Report on scipost_202105_00003v1

Emergent vortex Majorana zero mode in iron-based superconductors

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