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Spin-Triplet Paired Wigner Crystal Stabilized by Quantum Geometry

2026/01/08 by Dmitry Zverevich, Alex Levchenko, Ilya Esterlis · 1 citation
Computer Science · Physics and Astronomy · Mathematics · #Quantum Information and Cryptography #Quantum optics and atomic interactions #Algebraic structures and combinatorial models

paper · pdf · doi:10.1103/ksxq-1l4q

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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