Scalable Majorana vortex modes in iron-based superconductors.

Area of Science:

• Condensed Matter Physics
• Quantum Computing

Background:

• Iron-based superconductors, specifically FeTe$_{x}$Se$_{1-x}$, are candidates for hosting Majorana vortex modes.
• Recent experiments show a decreasing fraction of zero-bias peaks in vortex cores with increasing magnetic field, a phenomenon not fully explained by simple Majorana hybridization.

Purpose of the Study:

• To investigate the physics of Majorana vortex modes in FeTe$_{x}$Se$_{1-x}$ using a detailed simulation.
• To explain the experimentally observed decrease in zero-bias peaks with increasing magnetic field.

Main Methods:

• Construction of a three-dimensional tight-binding model to simulate over a hundred Majorana vortex modes.
• Analysis of Majorana hybridization and disordered vortex distribution effects.

Main Results:

• The simulation successfully explains the decreasing fraction of zero-bias peaks with increasing magnetic field.
• The statistical distribution of energy peaks off zero energy in the simulation matches experimental data.

Conclusions:

• Both Majorana hybridization and disordered vortex distribution are crucial for explaining experimental findings in FeTe$_{x}$Se$_{1-x}$.
• FeTe$_{x}$Se$_{1-x}$ shows promise as a platform for scalable Majorana qubits, essential for advancing quantum computing.