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Uncovering Exotic Paired States in the 2D Spin-Imbalanced...
Wan Tong Lou · 2026-04-29 · via cs.LG updates on arXiv.org

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Abstract:We study the zero-temperature phase diagram of the 2D spin-imbalanced Fermi gas with short-ranged attractive interactions using the recently developed neural network variational Monte Carlo method with the AGPs FermiNet Ansatz. The Fulde-Ferrell-Larkin-Ovchinnikov phase is observed in the weakly interacting BCS limit and a polarised superfluid is seen in the strongly interacting BEC limit. When the interactions are strong, the minority-spin momentum density is reduced almost to zero in the momentum-space region occupied by the unpaired majority-spin electrons. When the interactions are very strong, phase separation occurs, with regions containing bosonic pairs and unpaired regions occupied by the remaining majority-spin particles. In addition, we observe translational symmetry breaking at intermediate interaction strengths, where the system forms an exotic crystal of Cooper pairs in a Fermi fluid of unpaired majority-spin particles. We provide a possible explanation for the formation of the crystalline phase, explain the origins of the k-space momentum-density hole when the pairs are tightly bound, and discuss how our approach opens new directions for future work.
Comments: 23 pages, 17 figures
Subjects: Quantum Gases (cond-mat.quant-gas); Superconductivity (cond-mat.supr-con); Machine Learning (cs.LG); Computational Physics (physics.comp-ph)
Cite as: arXiv:2604.24883 [cond-mat.quant-gas]
  (or arXiv:2604.24883v1 [cond-mat.quant-gas] for this version)
  https://doi.org/10.48550/arXiv.2604.24883

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Wan Tong Lou [view email]
[v1] Mon, 27 Apr 2026 18:06:55 UTC (11,776 KB)