Electron stars for holographic metallic criticality

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.046003· OSTI ID:21505043

Hartnoll, Sean A; Tavanfar, Alireza ^[1]

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1. Center for the Fundamental Laws of Nature, Harvard University, Cambridge, Massachusetts 02138 (United States)

We refer to the ground state of a gravitating, charged ideal fluid of fermions held at a finite chemical potential as an ''electron star.'' In a holographic setting, electron stars are candidate gravity duals for strongly interacting finite fermion density systems. We show how electron stars develop an emergent Lifshitz scaling at low energies. This IR scaling region is a consequence of the two-way interaction between emergent quantum critical bosonic modes and the finite density of fermions. By integrating from the IR region to an asymptotically AdS{sub 4} spacetime, we compute basic properties of the electron stars, including their electrical conductivity. We emphasize the challenge of connecting UV and IR physics in strongly interacting finite density systems.

• OSTI ID: 21505043
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevD.83.046003; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
COMPUTERIZED SIMULATION
CRITICALITY
DENSITY
ELECTRIC CONDUCTIVITY
ELECTRONS
GRAVITATION
HOLOGRAPHY
INTERACTIONS
SCALING
SPACE-TIME
STARS
ELECTRICAL PROPERTIES
ELEMENTARY PARTICLES
FERMIONS
LEPTONS
MATHEMATICAL SPACE
PHYSICAL PROPERTIES
SIMULATION
SPACE