Mott transition with Holographic Spectral function

Abstract

We show that the Mott transition can be realized in a holographic model of a fermion with bulk mass, $m$, and a dipole interaction of coupling strength $p$. The phase diagram contains gapless, pseudo-gap and gapped phases and the first one can be further divided into four sub-classes. We compare the spectral densities of our holographic model with the Dynamical Mean Field Theory (DMFT) results for Hubbard model as well as the experimental data of Vanadium Oxide materials. Interestingly, single-site and cluster DMFT results of Hubbard model share some similarities with the holographic model of different parameters, although the spectral functions are quite different due to the asymmetry in the holography part. The theory can fit the X-ray absorption spectrum (XAS) data quite well, but once the theory parameters are fixed with the former it can fit the photoelectric emission spectrum (PES) data only if we symmetrize the spectral function.

arXiv comment22 pages, 21 figures, v2 symmetrization arguments are abandoned, the argument of Mott transition is still valid, but comparison with Hubbard model is modified. Title is changed

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• The emergence of Strange metal and Topological Liquid near Quantum Critical Point in a solvable model
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• Evolution of holographic Fermi surface from non-minimal couplings
• Holographic mean field theory and Kondo lattice
• Effect of scalar condensation on fermionic pole-skipping