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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Multifarious topological quantum phase transitions in two-dimensional topological superconductors.
Xiao-Ping Liu1, Yuan Zhou1,2, Yi-Fei Wang3
1National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing, 210093, China.
Scientific Reports
|June 23, 2016
Summary
We explore 2D topological superconductors with spinless fermions, revealing rich phase diagrams and high Chern number phases. Majorana fermions appear at phase boundaries, offering insights into topological quantum matter.
Area of Science:
- Condensed Matter Physics
- Quantum Materials
- Topological Superconductivity
Background:
- Topological superconductors host exotic phenomena like Majorana fermions.
- Checkerboard lattices offer unique platforms for studying topological phases.
- Understanding phase transitions is crucial for designing novel quantum states.
Purpose of the Study:
- Investigate topological quantum phase transitions in 2D spinless fermion systems.
- Map the phase diagram of topological superconducting states on a checkerboard lattice.
- Identify the emergence and localization of Majorana fermions.
Main Methods:
- Utilized a checkerboard-lattice Chern-insulator model for spinless fermions.
- Employed short-range p-wave superconducting pairing.
- Performed self-consistent numerical calculations of Bogoliubov-de Gennes equations.
- Analyzed finite-size checkerboard-lattice cylinders with harmonic potentials.
Main Results:
- Discovered multifarious topological quantum phase transitions.
- Observed several topological superconducting phases with high Chern numbers.
- Established a rich phase diagram for these states.
- Identified well-separated Majorana fermions localized at phase boundaries.
Conclusions:
- The studied system exhibits a complex phase diagram with high Chern number topological superconducting states.
- Majorana fermions are found at the boundaries between distinct topological phases.
- This work provides a framework for exploring topological quantum matter in engineered lattice structures.
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