Equal-spin pairing at finite Cooper-pair momentum in p-wave magnets
Abstract
The realization of Fulde-Ferrell (FF) superconducting states has long been pursued but remains challenging because of the large Zeeman splitting required. Here, we demonstrate that p-wave magnets can host equal-spin finite-pair-momentum states with p-wave symmetry, termed FF states, at arbitrarily weak fields. Our Bogoliubov-de Gennes analysis shows that, owing to the displacement of the Fermi surface, two equal-spin electrons in the FF states pair at the same energy, just as in the opposite-spin zero-pair-momentum states of the same gap symmetry. At zero field, the FF states are therefore exactly degenerate with these zero-pair-momentum counterparts. An arbitrarily weak Zeeman field lifts this degeneracy and makes the FF states the superconducting ground state, since they remain stable owing to their equal-spin nature, whereas their counterparts are suppressed by the formation of Bogoliubov Fermi surfaces. These findings identify the fermiology of p-wave magnets as a promising route toward long-sought finite-momentum superconductivity.
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BibTeX
@misc{lee2026equalspin,
title = {{Equal-spin pairing at finite Cooper-pair momentum in $p$-wave magnets}},
author = {Jaeyong Lee and Kyoung-Min Kim},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23260},
eprint = {2610.23260},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23260},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Equal-spin pairing at finite Cooper-pair momentum in p-wave magnets
AU - Jaeyong Lee
AU - Kyoung-Min Kim
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23260
UR - https://arxiv.org/abs/2610.23260
AB - The realization of Fulde-Ferrell (FF) superconducting states has long been pursued but remains challenging because of the large Zeeman splitting required. Here, we demonstrate that p-wave magnets can host equal-spin finite-pair-momentum states with p-wave symmetry, termed FF states, at arbitrarily weak fields. Our Bogoliubov-de Gennes analysis shows that, owing to the displacement of the Fermi surface, two equal-spin electrons in the FF states pair at the same energy, just as in the opposite-spin zero-pair-momentum states of the same gap symmetry. At zero field, the FF states are therefore exactly degenerate with these zero-pair-momentum counterparts. An arbitrarily weak Zeeman field lifts this degeneracy and makes the FF states the superconducting ground state, since they remain stable owing to their equal-spin nature, whereas their counterparts are suppressed by the formation of Bogoliubov Fermi surfaces. These findings identify the fermiology of p-wave magnets as a promising route toward long-sought finite-momentum superconductivity.
ER -