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arXiv · 1711.06610

Effective holographic theory of charge density waves

Andrea Amoretti·Daniel Areán·Blaise Goutéraux·Daniele Musso
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Abstract

We use Gauge/Gravity duality to write down an effective low energy holographic theory of charge density waves. We consider a simple gravity model which breaks translations spontaneously in the dual field theory in a homogeneous manner, capturing the low energy dynamics of phonons coupled to conserved currents. We first focus on the leading two-derivative action, which leads to excited states with non-zero strain. We show that including subleading quartic derivative terms leads to dynamical instabilities of AdS$_2$ translation invariant states and to stable phases breaking translations spontaneously. We compute analytically the real part of the electric conductivity. The model allows to construct Lifshitz-like hyperscaling violating quantum critical ground states breaking translations spontaneously. At these critical points, the real part of the dc conductivity can be metallic or insulating.

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Andrea Amoretti, Daniel Areán, Blaise Goutéraux, Daniele Musso. 2018-03-02. Effective holographic theory of charge density waves. https://doi.org/10.1103/physrevd.97.086017

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