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Chern Theorem and Topological Matter in Fast-Rotating Atomic Nuclei
1University of Tennessee, Department of Physics and Astronomy, Knoxville, Tennessee 37996-1200, USA.
Physical Review Letters
|March 1, 2026
Summary
The Chern theorem reveals topologically quantized alignment states in atomic nuclei, analogous to the quantum Hall effect. These novel states suggest the existence of topological matter within atomic nuclei.
Area of Science:
- Nuclear physics
- Condensed matter physics
- Topological matter
Background:
- The Chern theorem offers a framework for understanding topological properties in quantum systems.
- Atomic nuclei exhibit complex collective behaviors, including rotation and symmetry breaking.
Purpose of the Study:
- To apply the Chern theorem to intrinsically deformed atomic nuclei.
- To investigate the emergence of topologically quantized alignment (TQA) states.
- To explore potential analogies with condensed matter phenomena like the integer quantum Hall effect.
Main Methods:
- Application of the Chern theorem to nuclear systems.
- Analysis of angular momentum quantization in rotating nuclei.
- Theoretical modeling of symmetry breaking and topological effects.
Main Results:
- Identified topologically quantized alignment (TQA) states in deformed atomic nuclei.
- Demonstrated that TQA states arise from the breaking of time-reversal symmetry during collective rotation.
- Established formal analogies between TQA states and the integer quantum Hall effect.
Conclusions:
- The study suggests the existence of novel topological matter in atomic nuclei.
- Speculation on the formation of a nuclear Chern insulator with unique bulk-boundary properties.
- Proposed experimental signatures for detecting TQA states and their consequences for nuclear energy spectra.
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