Pinning of longitudinal phonons in holographic spontaneous helices
arXiv:1708.08306 · doi:10.1007/JHEP02(2018)085
Abstract
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.
24 pages, 14 figures. v2: comments and references added; v3: discussions added, slight change of title, version published in JHEP
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