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

Oliver Dewolfe, Steven S. Gubser, Christopher Rosen

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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.

Original languageEnglish (US)
Article number106002
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume86
Issue number10
DOIs
StatePublished - Nov 6 2012

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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