Research Paper#Condensed Matter Physics, Topological Insulators, Disorder🔬 ResearchAnalyzed: Jan 3, 2026 08:44
Disordered SSH Model Analysis
Published:Dec 31, 2025 09:12
•1 min read
•ArXiv
Analysis
This paper investigates the Su-Schrieffer-Heeger (SSH) model, a fundamental model in topological physics, in the presence of disorder. The key contribution is an analytical expression for the Lyapunov exponent, which governs the exponential suppression of transmission in the disordered system. This is significant because it provides a theoretical tool to understand how disorder affects the topological properties of the SSH model, potentially impacting the design and understanding of topological materials and devices. The agreement between the analytical results and numerical simulations validates the approach and strengthens the conclusions.
Key Takeaways
- •Provides an analytical expression for the Lyapunov exponent in the disordered SSH model.
- •The analytical results are validated by numerical simulations.
- •The real space winding number is evaluated for potential applications.
Reference
“The paper provides an analytical expression of the Lyapounov as a function of energy in the presence of both diagonal and off-diagonal disorder.”