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High-Temperature Majorana Corner States

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TLDR
In this article, the emergence of one Majorana Kramers pair at each corner of a square-shaped 2D topological insulator proximitized by an s-±}-wave (e.g., Fe-based) superconductor was shown.
Abstract
Majorana bound states often occur at the end of a 1D topological superconductor. Validated by a new bulk invariant and an intuitive edge argument, we show the emergence of one Majorana Kramers pair at each corner of a square-shaped 2D topological insulator proximitized by an s_{±}-wave (e.g., Fe-based) superconductor. We obtain a phase diagram that addresses the relaxation of crystal symmetry and edge orientation. We propose two experimental realizations in candidate materials. Our scheme offers a higher-order and higher-temperature route for exploring non-Abelian quasiparticles.

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Citations
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Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor

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References
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Journal ArticleDOI

Colloquium: Topological insulators

TL;DR: In this paper, the theoretical foundation for topological insulators and superconductors is reviewed and recent experiments are described in which the signatures of topologically insulators have been observed.
Journal ArticleDOI

Topological insulators and superconductors

TL;DR: Topological superconductors are new states of quantum matter which cannot be adiabatically connected to conventional insulators and semiconductors and are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time reversal symmetry.
Journal ArticleDOI

Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator

TL;DR: It is shown that linear junctions between superconductors mediated by the topological insulator form a nonchiral one-dimensional wire for Majorana fermions, and that circuits formed from these junctions provide a method for creating, manipulating, and fusing Majorana bound states.
Journal ArticleDOI

Topological insulators with inversion symmetry

TL;DR: In this paper, it was shown that the parity of the occupied Bloch wave functions at the time-reversal invariant points in the Brillouin zone greatly simplifies the problem of evaluating the topological invariants.
Journal ArticleDOI

Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices

TL;DR: Electrical measurements on indium antimonide nanowires contacted with one normal (gold) and one superconducting (niobium titanium nitride) electrode support the hypothesis of Majorana fermions in Nanowires coupled to superconductors.
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