Gapless and gapped holographic phonons

被引:36
作者
Amoretti, Andrea [1 ,2 ,3 ,4 ]
Arean, Daniel [5 ,6 ]
Gouteraux, Blaise [6 ]
Musso, Daniele [7 ]
机构
[1] Univ Genoa, Dipartimento Fis, Via Dodecaneso 33, I-16146 Genoa, Italy
[2] Ist Nazl Fis Nucl, Sez Genova, Via Dodecaneso 33, I-16146 Genoa, Italy
[3] Univ Libre Bruxelles, Phys Theor & Math Inst, CP 231, B-1050 Brussels, Belgium
[4] Univ Libre Bruxelles, Int Solvay Inst, CP 231, B-1050 Brussels, Belgium
[5] UAM, CSIC, Inst Fis Teor, Calle Nicolas Cabrera 13-15, Madrid 28049, Spain
[6] Ecole Polytech, IP Paris, CNRS, CPHT, Route Saclay, F-91128 Palaiseau, France
[7] Univ Santiago de Compostela, Rua Xoaquin Diaz de Rabago,Campus Vida, Santiago De Compostela 15705, A Coruna, Spain
基金
欧洲研究理事会;
关键词
Effective Field Theories; Holography and condensed matter physics (AdS; CMT); Space-Time Symmetries; Spontaneous Symmetry Breaking;
D O I
10.1007/JHEP01(2020)058
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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 [1] continues to hold in this model for weak enough explicit breaking.
引用
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页数:22
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