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Spin-Triplet Paired Wigner Crystal Stabilized by Quantum Geometry
Dmitry Zverevich1, Alex Levchenko1, Ilya Esterlis1
1University of Wisconsin-Madison, Department of Physics, Madison, Wisconsin 53706, USA.
Physical Review Letters
|July 31, 2026
Summary
Increasing Berry curvature drives a transition in two-dimensional Wigner crystals. This leads to spin-triplet pairs, suggesting a strong-coupling mechanism in quantum geometry systems.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Materials Science
Background:
- Wigner crystals are fundamental states of matter in two dimensions.
- Band geometry, particularly Berry curvature, significantly influences electronic properties.
- Understanding electron correlations is key to novel quantum phenomena.
Purpose of the Study:
- To investigate the impact of band geometry on two-dimensional Wigner crystals.
- To explore the role of Berry curvature in driving phase transitions.
- To identify mechanisms for spin-triplet pairing in electron systems.
Main Methods:
- Utilized variational states for theoretical analysis.
- Modeled systems with one and two electrons per unit cell.
- Developed an effective two-electron quantum dot model.
Main Results:
- Identified a transition into a crystalline state at low electron densities.
- Observed spin-triplet pairs with specific orbital angular momentum (m=-1).
- Demonstrated that Berry curvature is the key driver of this transition.
Conclusions:
- Berry curvature induces a novel electronic phase transition in Wigner crystals.
- The transition involves the formation of spin-triplet pairs.
- This highlights a strong-coupling mechanism for spin-triplet pairing driven by quantum geometry.
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