Holography for fermions

Entanglement entropy of compressible holographic matter: Loop corrections from bulk fermions

ONE-DIMENSIONAL FERMI LIQUID and SYMMETRY BREAKING in the VORTEX CORE

Fermions localized within vortex cores can form one-dimensional Fermi liquids. The nonzero density of states in these Fermi-liquids can lead to instability of the symmetric structure of the vortex core. We consider a symmetry breaking which is obtained due to spontaneous admixture of the spin-triplet p-wave component of the order parameter in conventional s-wave vortex in the presence of magnet...

Fermions and the Sch/nrcft Correspondence

We consider the problem of Dirac fermions propagating on a spacetime of Schrödinger isometry and the associated boundary Euclidean two-point function of fermionic scaling operators of the holographic dual non-relativistic conformal theory. Paying careful attention to the representations of the Schrödinger algebra that appear in this problem, we show carefully how the on-shell action is construc...

Negative magnetoresistivity in chiral fluids and holography

In four dimensions Weyl fermions possess a chiral anomaly which leads to several special features in the transport phenomena, such as the negative longitudinal magnetoresistivity. In this paper, we study its inverse, the longitudinal magnetoconductivity, in the case of a chiral anomalous system with a background magnetic field B using the linear response method in the hydrodynamic limit and fro...

Holography with Schrödinger Potentials

We examine the analogue one-dimensional quantum mechanics problem associated with bulk scalars and fermions in a slice of AdS5. The “Schrödinger” potential can take on different qualitative shapes depending on the values of the mass parameters in the bulk theory. Several interesting correlations between the shape of the Schrödinger potential and the holographic theory exist. We show that the qu...