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Exploring topological phases with extended Su-Schrieffer-Heeger models.
1Department of Physics, Interdisciplinary Research Center for Advanced Quantum Computing, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Saudi Arabia.
Summary
The Su-Schrieffer-Heeger (SSH) model, a simple lattice, exhibits topological phases with end-localized zero modes. This review explores extensions to the SSH model, revealing sophisticated topological phenomena in higher dimensions and complex unit cells.
Area of Science:
- Condensed Matter Physics
- Topological Matter Physics
Background:
- The Su-Schrieffer-Heeger (SSH) model describes a 1D lattice with alternating amplitudes.
- It exhibits a topological phase characterized by localized zero energy modes at lattice ends.
Purpose of the Study:
- To review existing approaches for extending the SSH model.
- To discuss case studies of extended SSH models and their topological properties.
Main Methods:
- Reviewing literature on SSH model extensions.
- Analyzing extensions involving increased dimensionality, enlarged unit cells, and added physical terms.
- Discussing topological properties of extended models.
Main Results:
- The SSH model can be extended in various ways to explore complex topological phenomena.
- Dimensionality increase, unit cell enlargement, and inclusion of physical effects yield sophisticated topological phases.
- Case studies demonstrate the topological origins of noteworthy properties in extended SSH models.
Conclusions:
- Extending the SSH model provides a versatile platform for investigating advanced topological matter.
- These extensions are crucial for understanding novel topological phases and their unique characteristics.
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