Holographic Phonons

Physical Review Letters
Lasma AlberteOriol Pujolàs

Abstract

We present a class of holographic massive gravity models that realize a spontaneous breaking of translational symmetry-they exhibit transverse phonon modes whose speed relates to the elastic shear modulus according to elasticity theory. Massive gravity theories thus emerge as versatile and convenient theories to model generic types of translational symmetry breaking: explicit, spontaneous, and a mixture of both. The nature of the breaking is encoded in the radial dependence of the graviton mass. As an application of the model, we compute the temperature dependence of the shear modulus and find that it features a glasslike melting transition.

References

Sep 26, 2012·Physical Review Letters·Sean A Hartnoll, Diego M Hofman
Jul 22, 2015·Physical Review Letters·Matteo Baggioli, Oriol Pujolàs
Jul 26, 2015·Physical Review Letters·Mario ZachariasMarkus Garst
May 24, 2016·Reports on Progress in Physics·Matthieu Micoulaut
May 15, 2018·Physical Review Letters·Andrea AmorettiDaniele Musso

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Citations

May 6, 2019·Physical Review Letters·Matteo Baggioli, Alessio Zaccone
May 20, 2020·Science Advances·K Trachenko, V V Brazhkin
Dec 7, 2019·Physical Review Letters·Andrea AmorettiDaniele Musso
May 15, 2018·Physical Review Letters·Andrea AmorettiDaniele Musso
Mar 14, 2020·Physical Review Letters·Matteo BaggioliHesam Soltanpanahi

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