English

Note on the butterfly effect in holographic superconductor models

High Energy Physics - Theory 2017-03-20 v2 General Relativity and Quantum Cosmology

Abstract

In this note we remark that the butterfly effect can be used to diagnose the phase transition of superconductivity in a holographic framework. Specifically, we compute the butterfly velocity in a charged black hole background as well as anisotropic backgrounds with Q-lattice structure. In both cases we find its derivative to the temperature is discontinuous at critical points. We also propose that the butterfly velocity can signalize the occurrence of thermal phase transition in general holographic models.

Keywords

Cite

@article{arxiv.1610.07146,
  title  = {Note on the butterfly effect in holographic superconductor models},
  author = {Yi Ling and Peng Liu and Jian-Pin Wu},
  journal= {arXiv preprint arXiv:1610.07146},
  year   = {2017}
}

Comments

10 pages, 4 figures; minor revision, one figure added, journal reference added

R2 v1 2026-06-22T16:28:46.306Z