RT Journal Article
T1 Diffusion and universal relaxation of holographic phonons
A1 Amoretti, Andrea
A1 Areán Fraga, Daniel
A1 Goutéraux, Blaise
A1 Musso, Daniele
K1 Holography and condensed matter physics (AdS/CMT)
K1 Global symmetries
K1 Space-Time symmetries
AB In phases where translations are spontaneously broken, new gapless degrees of freedom appear in the low energy spectrum (the phonons). At long wavelengths, they couple to small fluctuations of the conserved densities of the system. This mixing is captured by new diffusive transport coefficients, as well as qualitatively different collective modes, such as shear sound modes. We use Gauge/Gravity duality to model such phases and analytically compute the corresponding diffusivities in terms of data of the dual background black hole solution. In holographic quantum critical low temperature phases, we show that these diffusivities are governed by universal relaxation of the phonons into the heat current when the dynamical critical exponent z > 2. Finally, we compute the spectrum of transverse collective modes and show that their dispersion relation matches the dispersion relation of the shear sound modes of the hydrodynamic theory of crystalline solids
PB Springer
YR 2019
FD 2019
LK http://hdl.handle.net/10347/21382
UL http://hdl.handle.net/10347/21382
LA eng
NO Amoretti, A., Aréan, D., Goutéraux, B. et al. Diffusion and universal relaxation of holographic phonons. J. High Energ. Phys. 2019, 68 (2019). https://doi.org/10.1007/JHEP10(2019)068
NO BG has been partially supported during this work by the Marie Curie International Outgoing Fellowship nr 624054 within the 7th European Community Framework Programme FP7/2007-2013 and by the EuropeanResearch Council (ERC) under the European Union's Horizon 2020 research and innovationprogramme (grant agreements No 341222 and No 758759). DM has been funded by theSpanish 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. D.A. issupported by the `Atracción del Talento' programme (Comunidad de Madrid) under grant2017-T1/TIC-5258 and by Severo Ochoa Programme grant SEV-2016-0597 and FPA2015-65480-P (MINECO/FEDER)
DS Minerva
RD 28 abr 2026