Abstract
We construct zero-temperature geometries that interpolate between a Lifshitz fixed point in the UV and an IR phase that breaks spatial rotations but preserves translations. We work with a simple holographic model describing two massive gauge fields coupled to gravity and a neutral scalar. Our construction can be used to describe RG flows in non-relativistic, strongly coupled quantum systems with nematic order in the IR. In particular, when the dynamical critical exponent of the UV fixed point is z = 2 and the IR scaling exponents are chosen appropriately, our model realizes holographically the scaling properties of the bosonic modes of the quadratic band crossing model.
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Cremonini, S., Dong, X., Rong, J. et al. Holographic RG flows with nematic IR phases. J. High Energ. Phys. 2015, 82 (2015). https://doi.org/10.1007/JHEP07(2015)082
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DOI: https://doi.org/10.1007/JHEP07(2015)082