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Bibliographic Details
Main Authors: Dong, Zi-Hao, Zhang, Yi
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2512.23801
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Table of Contents:
  • The theoretical understanding of conventional superconductivity as the phonon-assisted formation and condensation of two-electron Cooper pairs is a significant triumph in condensed matter physics. Here, we propose many-electron characterizations of higher-charge superconductivity with Cooper pairs consisting of more than two electrons, by implementing translation symmetrization on parent pair-density-wave-ordered states. In particular, we demonstrate many-electron constructions with vanishing charge-2e sectors, but with sharp signatures in charge-4e or charge-6e expectation values instead. Such characterizations are consistent with previous phenomenology of vestigial order and Ginzburg-Landau theory, yet, instead of point-group-symmetry presumptions, we show that momentum conservation is both vital and sufficient. Our study thus offers a novel, general, and microscopic route to understand and characterize higher-charge superconductivity, including nontrivial experimental signatures such as fractional magnetic flux and period in interferometry, as well as localized Cooper pairs at lattice topological defects.