High-temperature Majorana zero modes

Abstract

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 Bi${}_2$Se${}_3$, and a twisted bilayer of high-$T_c$ cuprate superconductor, such as Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$. When the twist angle is close to $45^{\mathrm{o}}$ the latter forms a fully gapped topological superconductor up to temperatures approaching its native $T_c\simeq 90$K. Majorana zero modes in these structures will persist up to unprecedented high temperatures and, depending on the quality of the interface, may be protected by gaps with larger magnitudes than other candidate systems.

4+2 pages, 5 figures. Version 2 (to appear in Phys. Rev. Letters) contains a significant change: edge mode argument replaced by a direct analytical calculation of the vortex core zero mode

References in corpus (11)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Introduction to topological superconductivity and Majorana fermions
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Proximity-induced high-temperature superconductivity in topological insulators Bi2Se3 and Bi2Te3
• High-temperature topological superconductivity in twisted double layer copper oxides
• Tunneling of anyonic Majorana excitations in topological superconductors
• Josephson effects in twisted cuprate bilayers
• Search for superconducting proximity effect in a topological insulator and high temperature superconductor heterostructure Bi2Se3/Bi2Sr2CaCu2O8+
• Chiral $p$-wave superconductivity in a twisted array of proximitized quantum wires
• Majorana bound states in vortex lattices on iron-based superconductors

Cited by in corpus (28)

• Twisted cuprate van der Waals heterostructures with controlled Josephson coupling
• Chiral Majorana Modes via Proximity to a Twisted Cuprate Bilayer
• Charge 4e superconductivity and chiral metal in the $45^{\circ }$-twisted bilayer cuprates and similar bilayers
• Inhomogeneity-Induced Time-Reversal Symmetry Breaking in Cuprate Twist-Junctions
• Prominent Josephson tunneling between twisted single copper oxide planes of Bi${}_2$Sr${}_{2-x}$LaxCuO${}_{6+y}$
• Twisted multilayer nodal superconductors
• High-Angular-Momentum Topological Superconductivity in the Largest-Angle Twisted Homo-bilayer Systems
• High-temperature Majorana corner modes in a $d+i{d}^{\prime }$ superconductor heterostructure: Application to twisted bilayer cuprate superconductors
• 2D high temperature superconductor integration in contact printed circuit boards
• Coreless vortices as direct signature of chiral $d$-wave superconductivity
• Majorana zero modes in twisted transition metal dichalcogenides homobilayers
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Cuprate Twistronics for Quantum Hardware
• Doping dependence of chiral superconductivity in near $45^{\circ }$ twisted bilayer cuprates
• Making Chiral Topological Superconductivities from Non-topological Superconductivities Through the Twist
• Enhanced chiral edge currents and orbital magnetic moment in chiral $d$-wave superconductors from mesoscopic finite-size effects
• Exactly Solvable Model of Randomly Coupled Twisted Superconducting Bilayers
• Majorana bound states in d-wave superconductor planar Josephson junction
• Strong-coupling approach to temperature dependence of competing orders of superconductivity: Possible time-reversal symmetry breaking and nontrivial topology
• ${\varphi }_0$-junction and Josephson diode effect in high-temperature superconductor
• Interface engineering of van der Waals heterostructures towards energy-efficient quantum devices operating at high temperatures
• Angular momentum of vortex-core Majorana zero modes
• Embedded Majorana Islands
• Twisted Nodal Superconductors
• Topological phases in twisted Rashba superconductors
• Supermodulation-driven evolution of the nodal structure of bismuth-based cuprate superconductors
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors
• Tri-component-pairing chiral superconductivity on the honeycomb lattice with mixed $s$- and $d$-wave symmetries