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Fermi surfaces in N=4 super-Yang-Mills theory

Author(s): DeWolfe, Oliver; Gubser, Steven S; Rosen, Christopher

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 Abstract: We investigate and classify Fermi surface behavior for a set of fermionic modes in a family of backgrounds holographically dual to N = 4 super-Yang-Mills theory at zero temperature with two distinct chemical potentials. We numerically solve fluctuation equations for every spin-1/2 field in five-dimensional maximally supersymmetric gauged supergravity not mixing with gravitini. Different modes manifest two, one, or zero Fermi surface singularities, all associated with non-Fermi liquids, and we calculate dispersion relations and widths of excitations. We study two limits where the zero-temperature entropy vanishes. In one limit, a Fermi surface approaches a marginal Fermi liquid, which we demonstrate analytically, and conductivity calculations show a hard gap with the current dual to the active gauge field superconducting, while the other is insulating. In the other limit, conductivities reveal a soft gap with the roles of the gauge fields reversed. Publication Date: 15-Nov-2012 Electronic Publication Date: 6-Nov-2012 Citation: DeWolfe, Oliver, Gubser, Steven S, Rosen, Christopher. (2012). Fermi surfaces in N=4 super-Yang-Mills theory. PHYSICAL REVIEW D, 86 (10.1103/PhysRevD.86.106002 DOI: doi:10.1103/PhysRevD.86.106002 ISSN: 1550-7998 Type of Material: Journal Article Journal/Proceeding Title: PHYSICAL REVIEW D Version: Final published version. This is an open access article.

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