Holographic phonons by gauge-axion coupling

Abstract

In this paper, we show that a simple generalization of the holographic axion model can realize spontaneous breaking of translational symmetry by considering a special gauge-axion higher derivative term. The finite real part and imaginary part of the stress tensor imply that the dual boundary system is a viscoelastic solid. By calculating quasi-normal modes and making a comparison with predictions from the elasticity theory, we verify the existence of phonons and pseudo-phonons, where the latter is realized by introducing a weak explicit breaking of translational symmetry, in the transverse channel. Finally, we discuss how the phonon dynamics affects the charge transport.

Transverse Goldstone mode in holographic fluids with broken translations

“…reminiscent of the Gell-Mann-Oakes-Renner (GMOR) relation relation firstly discovered in QCD [82], and also has been touched in some studies of holography recently [54,83]. Moreover, the scaling of the phase relaxation…”

Transverse Goldstone mode in holographic fluids with broken translations

“…reminiscent of the Gell-Mann-Oaks-Renner(GMOR) relation relation firstly discovered in QCD [75], and also has been addressed in some studies of holography recently [50,76].…”