Abstract
We develop a method to detect instabilities leading to nematic phases in strongly coupled metallic systems. We do so by adapting the well-known Pomeranchuk technique to a weakly coupled system of fermions in a curved asymptotically AdS bulk. The resulting unstable modes are interpreted as corresponding to instabilities on the dual strongly coupled holographic metal. We apply our technique to a relativistic 3 + 1-dimensional bulk with generic quartic fermionic couplings, and explore the phase diagram at zero temperature for finite values of the fermion mass and chemical potential, varying the couplings. We find a wide region of parameters where the system is stable, which is simply connected and localized around the origin of coupling space.
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Giordano, G., Grandi, N. & Lugo, A. Pomeranchuk instabilities in holographic metals. J. High Energ. Phys. 2021, 206 (2021). https://doi.org/10.1007/JHEP05(2021)206
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DOI: https://doi.org/10.1007/JHEP05(2021)206