Pinning of longitudinal phonons in holographic spontaneous helices

Tomas Andrade*, Matteo Baggioli, Alexander Krikun, Napat Poovuttikul

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


We consider the spontaneous breaking of translational symmetry and identify the associated Goldstone mode — a longitudinal phonon — in a holographic model with Bianchi VII helical symmetry. For the first time in holography, we observe the pinning of this mode after introducing a source for explicit breaking compatible with the helical symmetry of our setup. We study the dispersion relation of the resulting pseudo-Goldstone mode, uncovering how its speed and mass gap depend on the amplitude of the source and temperature. In addition, we extract the optical conductivity as a function of frequency, which reveals a metal-insulator transition as a consequence of the pinning.

Original languageEnglish
Article number85
JournalJournal of High Energy Physics
Issue number2
Publication statusPublished - 1 Feb 2018

Bibliographical note

Funding Information:
Article funded by SCOAP3.

Publisher Copyright:
© 2018, The Author(s).

Other keywords

  • AdS-CFT Correspondence
  • Holography and condensed matter physics (AdS/CMT)


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