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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
PubMed
Summary
This summary is machine-generated.

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.

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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.