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Summary
This paper explores the connection between compact localized states (CLS) and Carrollian symmetry in flat band systems. The authors show how CLS can be used to construct flat bands and demonstrate the emergence of Carrollian symmetry in these systems. They also introduce interactions that preserve the Carrollian symmetry and study the resulting quantum phases.
Highlights
- Compact localized states (CLS) are used to construct flat bands.
- Carrollian symmetry emerges in flat band systems.
- Interactions that preserve Carrollian symmetry are introduced.
- Quantum phases of the interacting system are studied.
- The system exhibits a phase transition to a degenerate ground state.
- The entanglement entropy is found to be independent of the subsystem size.
- The system shows robustness against perturbations that break the Carrollian symmetry.
Key Insights
- The authors demonstrate that CLS can be used to construct flat bands, which is a new approach to understanding these systems.
- The emergence of Carrollian symmetry in flat band systems is a key insight, as it provides a new perspective on the behavior of these systems.
- The introduction of interactions that preserve Carrollian symmetry is an important development, as it allows for the study of the resulting quantum phases.
- The phase transition to a degenerate ground state is a significant finding, as it highlights the complex behavior of the system.
- The independence of the entanglement entropy on the subsystem size is a surprising result, as it suggests that the system exhibits non-trivial entanglement properties.
- The robustness of the system against perturbations that break the Carrollian symmetry is an important insight, as it highlights the stability of the system.
- The authors' work provides a new framework for understanding flat band systems and their behavior, which has implications for the study of condensed matter physics.
Mindmap
Citation
Ara, N., Banerjee, A., Basu, R., & Krishnan, B. (2024). Flat Bands and Compact Localised States: A Carrollian roadmap (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.18965