Mathematical analysis

Pairing

Geometry

Combinatorics

Physics

Symmetry (geometry)

Majorana equation

Topology (electrical circuits)

MAJORANA

Mathematics

High-temperature superconductivity

Topological insulator

Zero mode

Dirac sea

Fermion

Quantum mechanics

Neutrino

Superconductivity

Dirac fermion

Sign (mathematics)

Dirac (video compression format)

Cuprate

Condensed matter physics

Physical Review Letters

We introduce two-dimensional topological insulators in proximity to high-temperature cuprate or iron-based superconductors as high-temperature platforms of Majorana Kramers pairs of zero modes. The proximity-induced pairing at the helical edge state of the topological insulator serves as a Dirac mass, whose sign changes at the sample corner because of the pairing symmetry of high-${T}_{c}$ superconductors. This sign changing naturally creates at each corner a pair of Majorana zero modes protected by time-reversal symmetry. Conceptually, this is a topologically trivial superconductor-based approach for Majorana zero modes. We provide quantitative criteria and suggest candidate materials for this proposal.

Majorana Corner Modes in a High-Temperature Platform