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Holography and ARPES sum-rules
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Holography and ARPES sum-rules
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We study correlation functions of elementary fermions in strongly interacting field theories using the AdS/CFT correspondence. This correspondence generically associates bulk fields to composite operators in field theory. We modify the holographic prescription in order to obtain correlators that correspond to fermonic single-particle excitations by introducing a dynamical fermionic source localized on a UV brane in a holographic background. We work out the conditions when these correlators obey the zeroth frequency sum-rule satisfied by angle-resolved photo-emission spectroscopy (ARPES) and are thus directly relevant to the AdS/CMT correspondence. To illustrate our techniques, we study field theories at zero chemical potential with an arbitrary dynamical exponent z, i.e., the Lifshitz invariant conformal field theories, including the usual relativistic case z=1.
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Cited by 1 Pith paper
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Poles-zeros duality in semi-holographic Mott insulators
A semi-holographic model couples a fermion to a holographic composite sector, yielding poles-zeros duality in the Green's function that distinguishes metallic and Mott-insulating phases through choice of quantization.
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