### Abstract

We analyze fermionic response in the geometry holographically dual to zero-temperature N=4 super-Yang-Mills theory with two equal nonvanishing chemical potentials, which is characterized by a singular horizon and zero ground state entropy. We show that fermionic fluctuations are completely stable within a gap in energy around a Fermi surface singularity, beyond which non-Fermi liquid behavior returns. This gap disappears abruptly once the final charge is turned on and is associated to a discontinuity in the corresponding chemical potential. We also show that the singular near-horizon geometry lifts to a smooth AdS3×R3 and interpret the gap as a region where the quasiparticle momentum is spacelike in six dimensions due to the momentum component in the Kaluza-Klein direction, corresponding to the final charge.

Original language | English (US) |
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Article number | 046011 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 91 |

Issue number | 4 |

DOIs | |

State | Published - Feb 26 2015 |

### All Science Journal Classification (ASJC) codes

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

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## Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*91*(4), [046011]. https://doi.org/10.1103/PhysRevD.91.046011