English

Checkerboard order in vortex cores from pair-density-wave superconductivity

Superconductivity 2015-03-17 v2

Abstract

We consider competing pair-density-wave (PDW) and dd-wave superconducting states in a magnetic field. We show that PDW order appears in the cores of dd-wave vortices, driving checkerboard charge-density-wave (CDW) order in the vortex cores, which is consistent with experimental observations. Furthermore, we find an additional CDW order that appears on a ring outside the vortex cores. This CDW order varies with a period that is twice that of the checkerboard CDW and it only appears where both PDW and dd-wave order co-exist. The observation of this additional CDW order would provide strong evidence for PDW order in the pseudogap phase of the cuprates. We further argue that the CDW seen by nuclear magnetic resonance at high fields is due to a PDW state that emerges when a magnetic field is applied.

Keywords

Cite

@article{arxiv.1412.5101,
  title  = {Checkerboard order in vortex cores from pair-density-wave superconductivity},
  author = {Daniel F. Agterberg and Julien Garaud},
  journal= {arXiv preprint arXiv:1412.5101},
  year   = {2015}
}

Comments

Replaced with a version in print in Phys. Rev. B; Minor changes and references added; 6 pages, 4 figures

R2 v1 2026-06-22T07:33:47.556Z