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Published on: July 8, 2021
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Characterizing topological order in superconductors via entanglement
1Department of Physics, University of Windsor, Windsor, Ontario N9B 3P4, Canada.
Summary
We demonstrate a new method to study topological order in superconductors using entanglement. This approach reveals key properties of 2D and 1D superconducting systems, advancing the understanding of topological phases.
Area of Science:
- Condensed Matter Physics
- Quantum Materials
- Topological Superconductivity
Background:
- Topological order is a key concept in condensed matter physics, distinguishing exotic quantum phases.
- Superconducting systems offer a promising platform for realizing and studying topological phenomena.
Purpose of the Study:
- To investigate and characterize topological order in superconducting systems.
- To develop and utilize an efficient entanglement-based approach for studying these systems.
Main Methods:
- Utilizing the directional dependence of quantum entanglement.
- Analyzing two-dimensional (2D) spin-singlet superconductors (e.g., s-wave and s+idxy).
- Comparing results with a spin-polarized px+ipy superconductor and a 1D p-wave superconductor.
Main Results:
- Demonstrated directional entanglement signatures for topological order in 2D superconductors.
- Characterized topological properties of a 1D spin-polarized p-wave superconductor under magnetic flux.
- Established an efficient method for entanglement investigation in superconductors and related fermionic systems.
Conclusions:
- Entanglement provides a powerful tool for identifying and understanding topological order in superconductors.
- The developed method is broadly applicable to quadratic fermionic Hamiltonians with pairing.
- This work advances the study of topological phases in novel quantum materials.
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