Duality between zeroes and poles in holographic systems with massless fermions and a dipole coupling

Abstract

We discuss the zeroes and poles of the determinant of the retarded Green function ($\det G_R$) at zero frequency in a holographic system of charged massless fermions interacting via a dipole coupling. For large negative values of the dipole coupling constant $p$, $\det G_R$ possesses only poles pointing to a Fermi liquid phase. We show that a duality exists relating systems of opposite $p$. This maps poles of $\det G_R$ at large negative $p$ to zeroes of $\det G_R$ at large positive $p$, indicating that the latter corresponds to a Mott insulator phase. This duality suggests that the properties of a Mott insulator can be studied by mapping the system to a Fermi liquid. Finally, for small values of $p$, $\det G_R$ contains both poles and zeroes (pseudo-gap phase).

17 pages, 4 figures, improved discussion -- PRD version

References in corpus (23)

• Building an AdS/CFT superconductor
• Nonlinear Fluid Dynamics from Gravity
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Quantum critical transport, duality, and M-theory
• Holographic superconductivity in M-Theory
• Superconductors from Superstrings
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Electron stars for holographic metallic criticality
• Doped high-Tc cuprate superconductors elucidated in the light of zeros and poles of electronic Green's function
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• Dynamically Generated Gap from Holography: Mottness from a Black Hole
• Fermionic Operator Mixing in Holographic p-wave Superfluids
• Dynamical Gap and Cuprate-like Physics from Holography
• From black holes to strange metals
• Holographic Fermi arcs and a d-wave gap
• Exact Gravity Dual of a Gapless Superconductor
• Fermion correlators in non-abelian holographic superconductors
• Fermions and D=11 Supergravity On Squashed Sasaki-Einstein Manifolds
• Fermions and Type IIB Supergravity On Squashed Sasaki-Einstein Manifolds
• Minding the Gap in Holographic Models of Interacting Fermions
• Holographic Fermi surfaces and bulk dipole couplings
• Dipole Coupling Effect of Holographic Fermion in the Background of Charged Gauss-Bonnet AdS Black Hole

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