Gapless and gapped holographic phonons
arXiv:1910.11330 · doi:10.1007/JHEP01(2020)058
Abstract
We study a holographic model where translations are both spontaneously and explicitly broken, leading to the presence of (pseudo)-phonons in the spectrum. The weak explicit breaking is due to two independent mechanisms: a small source for the condensate itself and additional linearly space-dependent marginal operators. The low energy dynamics of the model is described by Wigner crystal hydrodynamics. In absence of a source for the condensate, the phonons remain gapless, but momentum is relaxed. Turning on a source for the condensate damps and pins the phonons. Finally, we verify that the universal relation between the phonon damping rate, mass and diffusivity reported in arXiv:1812.08118 continues to hold in this model for weak enough explicit breaking.
v1: 24 pages, 10 figures. v2: minor edits, version accepted in jhep
References in corpus (13)
- Holography without translational symmetry
- Momentum dissipation and effective theories of coherent and incoherent transport
- Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
- The thermoelectric properties of inhomogeneous holographic lattices
- Holographic Metals and Insulators with Helical Symmetry
- On the convergence of the gradient expansion in hydrodynamics
- Metal-insulator Transition by Holographic Charge Density Waves
- Holographic End-Point of Spatially Modulated Phase Transition
- Intertwined order and holography: the case of the parity breaking pair density wave
- Holographic Checkerboards
- Holographic Pair and Charge Density Waves
- Holographic pinning
- Holographic transport and density waves