期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 1, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP01(2018)129
关键词
Holography and condensed matter physics (AdS/CMT); AdS-CFT Correspondence; Gauge-gravity correspondence
资金
- Spanish Ministry MEC [FPA2014-55613-P]
- Severo Ochoa excellence program of MINECO [SO-2012-0234, SEV-2016-0588]
- Generalitat de Catalunya [2014-SGR-1450]
- ERC [669288]
- Deutsche Forschungsgemeinschaft (DFG) [GRK 1523/2]
- European Research Council (ERC) [669288] Funding Source: European Research Council (ERC)
We study the elastic response of planar black hole (BH) solutions in a simple class of holographic models with broken translational invariance. We compute the transverse quasi-normal mode spectrum and the propagation speed of the lowest energy mode. We find that the speed of the lowest mode relates to the BH rigidity modulus as dictated by elasticity theory. This allows to identify these modes as transverse phonons - the pseudo Goldstone bosons of spontaneously broken translational invariance. In addition, we show that these modes have a mass gap controlled by an explicit source of the translational symmetry breaking. These results provide a new confirmation that the BHs in these models do exhibit solid properties that become more manifest at low temperatures. Also, by the AdS/CFT correspondence, this allows to extend the standard results from the effective field theory for solids to quantum-critical materials.
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