Gapless and gapped holographic phonons

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We study a holographic model where translations are both spontaneously and explicitly broken, leading to the presence of (pseudo)-phonons in the spectrum. The weak explicit breaking is due to two independent mechanisms: a small source for the condensate itself and additional linearly space-dependent marginal operators. The low energy dynamics of the model is described by Wigner crystal hydrodynamics. In absence of a source for the condensate, the phonons remain gapless, but momentum is relaxed. Turning on a source for the condensate damps and pins the phonons. Finally, we verify that the universal relation between the phonon damping rate, mass and diffusivity reported in [1] continues to hold in this model for weak enough explicit breaking

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Amoretti, A., Areán, D., Goutéraux, B. et al. Gapless and gapped holographic phonons. J. High Energ. Phys. 2020, 58 (2020). https://doi.org/10.1007/JHEP01(2020)058

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D.A is supported by the ‘Atracción del Talento’ programme (Comunidad de Madrid) under grant 2017-T1/TIC-5258 and by MCIU/AEI/FEDER, UE, through the grants SEV-2016- 0597, FPA2015-65480-P and PGC2018-095976-B-C21. B.G. is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 758759). The work of DM has been funded by the Spanish grants FPA2014-52218-P and FPA2017-84436-P by Xunta de Galicia (GRC2013-024), by FEDER and by the María de Maeztu Unit of Excellence MDM-2016-0692

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© The Author(s) 2020. Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited