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arXiv · 2601.05318

Spin-triplet paired Wigner crystal stabilized by quantum geometry

Dmitry Zverevich·Alex Levchenko·Ilya Esterlis
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Abstract

We have used variational states to analyze the effects of band geometry on the two-dimensional Wigner crystal with one and two electrons per unit cell. At sufficiently low electron densities, we find that increasing Berry curvature drives a transition into a crystalline state composed of spin-triplet pairs carrying relative orbital angular momentum $m=-1$. The essential features of this transition are captured by an effective two-electron quantum dot problem in the presence of Berry curvature. Our results point to a purely electronic, strong-coupling mechanism for local spin-triplet pairing in correlated two-dimensional electron systems with quantum geometry.

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Dmitry Zverevich, Alex Levchenko, Ilya Esterlis. 2026-01-08. Spin-triplet paired Wigner crystal stabilized by quantum geometry. https://doi.org/10.1103/ksxq-1l4q

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