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Bergman, Oren; Jokela, Niko; Lifschytz, Gilad; Lippert, Matthew

Striped instability of a holographic Fermi-like liquid. (English) Zbl 1303.81145

J. High Energy Phys. 2011, No. 10, Paper No. 034, 14 p. (2011).
Summary: We consider a holographic description of a system of strongly-coupled fermions in 2 + 1 dimensions based on a D7-brane probe in the background of D3-branes. The black hole embedding represents a Fermi-like liquid. We study the excitations of the Fermi liquid system. Above a critical density which depends on the temperature, the system becomes unstable towards an inhomogeneous modulated phase which is similar to a charge density and spin wave state. The essence of this instability can be effectively described by a Maxwell-axion theory with a background electric field. We also consider the fate of zero sound at non-zero temperature.

Cited in 37 Documents

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T20 Quantum field theory on curved space or space-time backgrounds
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
83C57 Black holes
82D15 Statistical mechanics of liquids
82B27 Critical phenomena in equilibrium statistical mechanics
83F05 Relativistic cosmology

Keywords:

D-branes; AdS-CFT correspondence; holography and condensed matter physics (AdS/CMT)
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References:

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