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PreprintCC BY 4.0arXiv

Light-Cone Friedel Oscillations: a Window into van Hove Superconductivity

  • Archisman Panigrahi
  • Vladislav Poliakov
  • Leonid Levitov
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Abstract

Van Hove (vH) singularities can enhance superconductivity by generating a large pairing susceptibility. Yet, it remains challenging to experimentally establish whether pairing really occurs near these points. We show that the saddle-point dispersion near a vH point gives rise to a `light-cone' vH-selective behavior of Friedel oscillations, which is drastically different from the familiar concentric circles. Each vH point maps onto its own real-space light-cone sector, allowing STM around a single impurity to measure whether---and how strongly---that saddle-point quasiparticle sector is gapped. A superconducting gap near vH points suppresses the oscillations in the directions corresponding to peaks in the gap function angular dependence, a behavior that provides a signature of vH-related pairing at STM-accessible length scales. This STM protocol, targeting vH superconductivity, is capable of determining whether superconducting pairing emerges near the vH points or elsewhere on the Fermi surface.

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Cite

BibTeXRIS
BibTeX
@misc{panigrahi2026lightcone,
  title = {{Light-Cone Friedel Oscillations: a Window into van Hove Superconductivity}},
  author = {Archisman Panigrahi and Vladislav Poliakov and Leonid Levitov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.40648},
  eprint = {2610.40648},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.40648},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Light-Cone Friedel Oscillations: a Window into van Hove Superconductivity
AU  - Archisman Panigrahi
AU  - Vladislav Poliakov
AU  - Leonid Levitov
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.40648
UR  - https://arxiv.org/abs/2610.40648
AB  - Van Hove (vH) singularities can enhance superconductivity by generating a large pairing susceptibility. Yet, it remains challenging to experimentally establish whether pairing really occurs near these points. We show that the saddle-point dispersion near a vH point gives rise to a `light-cone' vH-selective behavior of Friedel oscillations, which is drastically different from the familiar concentric circles. Each vH point maps onto its own real-space light-cone sector, allowing STM around a single impurity to measure whether---and how strongly---that saddle-point quasiparticle sector is gapped. A superconducting gap near vH points suppresses the oscillations in the directions corresponding to peaks in the gap function angular dependence, a behavior that provides a signature of vH-related pairing at STM-accessible length scales. This STM protocol, targeting vH superconductivity, is capable of determining whether superconducting pairing emerges near the vH points or elsewhere on the Fermi surface.
ER  -