Emergent quantum criticality, Fermi surfaces, and AdS[subscript 2]
Name
Faulkner-2011-Emergent quantum cri.pdf
Size
1.48 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Faulkner, Thomas
Liu, Hong
McGreevy, John
Vegh, David
Alternative Title
Emergent quantum criticality, Fermi surfaces, and AdS2
Date Issued
June 2011
Journal
Physical Review D
Publisher
American Physical Society
Citation
Faulkner, Thomas et al. “Emergent quantum criticality, Fermi surfaces, and AdS[subscript 2].” Physical Review D 83 (2011).© 2011 American Physical Society.
Version
Final published version
Abstract
Gravity solutions dual to d-dimensional field theories at finite charge density have a near-horizon region, which is AdS2×Rd-1. The scale invariance of the AdS2 region implies that at low energies the dual field theory exhibits emergent quantum critical behavior controlled by a (0+1)-dimensional conformal field theories (CFT). This interpretation sheds light on recently-discovered holographic descriptions of Fermi surfaces, allowing an analytic understanding of their low-energy excitations. For example, the scaling behavior near the Fermi surfaces is determined by conformal dimensions in the emergent IR CFT. In particular, when the operator is marginal in the IR CFT, the corresponding spectral function is precisely of the “marginal Fermi liquid” form, postulated to describe the optimally doped cuprates.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.83.125002
