Pinning of longitudinal phonons in holographic spontaneous helices. (English) Zbl 1387.81298
Summary: 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.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81R40 | Symmetry breaking in quantum theory |
Software:
MathematicaReferences:
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