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The Pauli exclusion principle at strong coupling: holographic matter and momentum space

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Abstract

For free fermions at finite density, the Pauli exclusion principle is responsible for the existence of a Fermi surface and the consequent presence of low energy spectral weight over a finite range of momenta. We investigate the extent to which this effect occurs in strongly interacting quantum matter with a holographic dual. We obtain the low energy current-current spectral weight in two holographic frameworks at finite density: systems exhibiting semi-local quantum criticality (with a low temperature entropy density vanishing like s ∼ T η ), and a probe D3/D5 system. For the semi-local theory with 0 < η < 2 we find a sharp discontinuity in the transverse spectral weight at a nonzero momentum k ⋆. The case η=1 is found to have additional symmetries and is soluble even at nonzero temperature. We show that this case exhibits a robust linear in temperature resistivity in the presence of random charged impurities. For the probe D3/D5 system we find an analytic expression for the low energy spectral weight as a function of momentum. The spectral weight is supported below a specific momentum k ⋆ and is exponentially suppressed at higher momenta.

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Authors and Affiliations

  1. Department of Physics, Stanford University, Stanford, CA, 94305-4060, U.S.A.

    Richard J. Anantua, Sean A. Hartnoll, Victoria L. Martin & David M. Ramirez

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  1. Richard J. Anantua
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  2. Sean A. Hartnoll
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  3. Victoria L. Martin
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Correspondence to Sean A. Hartnoll.

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ArXiv ePrint: 1210.1590

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Anantua, R.J., Hartnoll, S.A., Martin, V.L. et al. The Pauli exclusion principle at strong coupling: holographic matter and momentum space. J. High Energ. Phys. 2013, 104 (2013). https://doi.org/10.1007/JHEP03(2013)104

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