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Analytic fermionic Green’s functions from holography

Author(s): Gubser, Steven S; Ren, Jie

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dc.contributor.authorGubser, Steven S-
dc.contributor.authorRen, Jie-
dc.date.accessioned2017-11-21T18:56:50Z-
dc.date.available2017-11-21T18:56:50Z-
dc.date.issued2012-08-15en_US
dc.identifier.citationGubser, Steven S, Ren, Jie. (2012). Analytic fermionic Green’s functions from holography. Physical Review D, 86 (4), 10.1103/PhysRevD.86.046004en_US
dc.identifier.issn1550-7998-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr13067-
dc.description.abstractWe find exact, analytic solutions of the Dirac equation for a charged, massless fermion in the background of a charged, dilatonic black hole in AdS 5 . The black hole descends from type IIB supergravity, where it describes D3-branes with equal angular momenta in two of the three independent planes of rotation orthogonal to the world-volume. The Green’s function near the Fermi surface for a strongly coupled fermionic system can be extracted holographically from an exact solution of the Dirac equation at zero frequency but nonzero momentum. There can be several Fermi momenta, and they take the form k F ¼ q n 1 = 2 (in units of the chemical potential), where q is the charge of the spinor, and n is a non-negative integer that labels the Fermi surfaces. Much as for holographic Fermi surfaces based on the Reissner-Nordstro ̈ m- AdS 5 solution, the dispersion relation of the excitations near the Fermi surface is determined by the geometry close to the horizon, and one can obtain Fermi liquid, marginal Fermi liquid, and non-Fermi liquid behaviors depending on the value of k F .en_US
dc.format.extent046004-1 - 046004-10en_US
dc.language.isoenen_US
dc.relation.ispartofPhysical Review Den_US
dc.rightsFinal published version. This is an open access article.en_US
dc.titleAnalytic fermionic Green’s functions from holographyen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevD.86.046004-
dc.date.eissued2012-08-14en_US
dc.identifier.eissn1550-2368-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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