Holographic Phonons
Lasma Alberte, Martin Ammon, Matteo Baggioli, Amadeo Jim\'enez-Alba,, Oriol Pujol\`as
TL;DR
This paper introduces holographic massive gravity models that simulate spontaneous translational symmetry breaking, capturing phonon dynamics and elastic properties, with applications to understanding glass-like melting transitions.
Contribution
It develops a versatile holographic framework for modeling various types of translational symmetry breaking, linking graviton mass profiles to elastic behavior.
Findings
Transverse phonon modes with speeds related to shear modulus
Temperature-dependent shear modulus showing glass-like melting
Models can represent explicit, spontaneous, and mixed symmetry breaking
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 glass-like melting transition.
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