Holographic Charge Density Waves

Details Holographic Charge Density Waves Holographic Charge Density Waves

2010-09-30

arxiv.org/abs/1009.6179v3

Phys.Lett.B702:181-185,2011

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 2 figures; improved discussion, published version

Scientific paper

10.1016/j.physletb.2011.06.092

We discuss a gravity dual of a charge density wave consisting of a U(1) gauge field and two scalar fields in the background of an AdS$_4$ Schwarzschild black hole together with an antisymmetric field (probe limit). Interactions drive the system to a phase transition below a critical temperature. We numerically compute the ground states characterized by modulated solutions for the gauge potential corresponding to a dynamically generated unidirectional charge density wave in the conformal field theory. Signatures of the holographic density waves are retrieved by studying the dynamical response to an external electric field. We find that this novel holographic state shares many common features with the standard condensed matter version of charge density wave systems.

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