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Published on: April 22, 2013
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Holographic Phonons
Lasma Alberte1, Martin Ammon2, Amadeo Jiménez-Alba2
1Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, 34151 Trieste, Italy.
Physical Review Letters
|May 15, 2018
Summary
We introduce holographic massive gravity models that describe spontaneous symmetry breaking, revealing transverse phonon modes linked to elasticity theory. These models offer a versatile framework for understanding various symmetry-breaking types and predict a glasslike melting transition in shear modulus.
Area of Science:
- Theoretical physics
- Condensed matter physics
- Gravitational physics
Background:
- Translational symmetry breaking is fundamental in condensed matter and gravitational systems.
- Massive gravity theories provide a framework to study modifications to Einstein's theory of general relativity.
- Understanding the relationship between microscopic properties and macroscopic behavior is a key challenge.
Purpose of the Study:
- To present a class of holographic massive gravity models exhibiting spontaneous translational symmetry breaking.
- To investigate the emergence of transverse phonon modes and their connection to elasticity theory.
- To explore the application of these models in understanding material properties like shear modulus and melting transitions.
Main Methods:
- Development of holographic massive gravity models.
- Analysis of spontaneous translational symmetry breaking within these models.
- Computation of the temperature dependence of the shear modulus.
Main Results:
- Demonstration of spontaneous translational symmetry breaking in holographic massive gravity.
- Identification of transverse phonon modes whose speed relates to the elastic shear modulus.
- Observation of a glasslike melting transition in the temperature dependence of the shear modulus.
Conclusions:
- Holographic massive gravity models are versatile for describing explicit and spontaneous translational symmetry breaking.
- The radial dependence of graviton mass encodes the nature of symmetry breaking.
- These models provide insights into material phase transitions, such as glasslike melting.
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