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Updated: Jul 9, 2025
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
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Finite-size effect on quantum percolation in topological insulators.
Rui Chen1, Chun-Bo Hua2, Hai-Peng Sun3
1Department of Physics, Hubei University, Wuhan 430062, People's Republic of China.
Summary
Finite-size effects significantly alter quantum percolation in topological insulators. The percolation threshold is influenced by edge state localization length and can be lower than classical models due to quantum tunneling.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Materials Science
Background:
- Topological insulators possess unique edge states with potential applications in quantum computing.
- Understanding percolation phenomena is crucial for designing robust quantum devices.
- Finite-size effects can significantly alter the behavior of quantum systems.
Purpose of the Study:
- To investigate the impact of finite-size effects on quantum percolation in two-dimensional topological insulators.
- To analyze the relationship between edge state localization length and percolation threshold.
- To explore the influence of quantum tunneling on percolation in mixed topological and trivial systems.
Main Methods:
- Theoretical modeling of quantum percolation in finite-size two-dimensional topological insulators.
- Analysis of the percolation threshold dependence on edge state localization length.
- Extension of classical percolation models to incorporate quantum phenomena like tunneling.
Main Results:
- The percolation threshold in topological insulators is strongly dependent on the localization length of edge states in small clusters.
- The classical percolation threshold provides a lower bound for the quantum percolation threshold in topological insulators.
- Quantum tunneling of edge states can lead to a quantum percolation threshold lower than the classical percolation threshold.
Conclusions:
- Finite-size effects are critical for understanding quantum percolation in topological insulators.
- Edge state properties, particularly localization length and quantum tunneling, dictate percolation behavior.
- The developed model offers insights into designing quantum devices with tunable percolation properties.
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