Disordered Horizons: Holography of Randomly Disordered Fixed Points

2014/02/12 by Sean A. Hartnoll, Jorge E. Santos · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Condensed matter physics #Cosmology and Gravitation Theories #Holography #Noncommutative and Quantum Gravity Theories #Optics #Physics #Theoretical physics #cond-mat.str-el #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevlett.112.231601

published as Phys. Rev. Lett. 112, 231601 (2014) · v2: typos fixed, refs added, 19 pages, 5 figures

arxiv created 2014/02/12 · openalex publication_date 2014/06/13 · arxiv updated 2014/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We deform conformal field theories with classical gravity duals by marginally relevant random disorder. We show that the disorder generates a flow to IR fixed points with a finite amount of disorder. The randomly disordered fixed points are characterized by a dynamical critical exponent z > 1 that we obtain both analytically (via resummed perturbation theory) and numerically (via a full simulation of the disorder). The IR dynamical critical exponent increases with the magnitude of disorder, probably tending to z → ∞ in the limit of infinite disorder.

Citations

• Metal-insulator transition in holography
• Holographic superconductor with disorder
• Large-Nrenormalization-group study of the commensurate dirty-boson problem
• Effect of random defects on the critical behaviour of Ising models
• The large N limit of superconformal field theories and supergravity

Cited by

• Hawking-Page transition in holographic massive gravity