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Striped instability of a holographic Fermi-like liquid

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arxiv 1106.3883 v2 pith:JCLDVTKN submitted 2011-06-20 hep-th cond-mat.str-el

Striped instability of a holographic Fermi-like liquid

classification hep-th cond-mat.str-el
keywords liquidsystembackgroundconsiderdensityfermi-likeholographicinstability
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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