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We consider a holographic description of a system of strongly-coupledfermions in 2+1 dimensions based on a D7-brane probe in the background ofD3-branes. The black hole embedding represents a Fermi-like liquid. We studythe excitations of the Fermi liquid system. Above a critical density whichdepends on the temperature, the system becomes unstable towards aninhomogeneous modulated phase which is similar to a charge density and spinwave state. The essence of this instability can be effectively described by aMaxwell-axion theory with a background electric field. We also consider thefate of zero sound at non-zero temperature.

Striped instability of a holographic Fermi-like liquid