Holographic Spectral Functions with Momentum Relaxation

Abstract

We study (fermionic) spectral functions in two holographic models, the Gubser-Rocha-linear axion model and the linear axion model, where translational symmetry is broken by axion fields linear to the boundary coordinates (${\psi }_I=\beta {\delta }_{Ii}{x}^i$). Here, $\beta$ corresponds to the strength of momentum relaxation. The spectral function is computed by the fermionic Green's function of the bulk Dirac equation, where a fermion mass, $m$, and a dipole coupling, $p$, are introduced as input parameters. By classifying the shape of spectral functions, we construct complete phase diagrams in ($m,p,\beta$) space for both models. We find that two phase diagrams are similar even though their background geometries are different. We also find that the effect of momentum relaxation on the (spectral function) phases of two models are similar even though the effect of momentum relaxation on the DC conductivities of two models are very different. We suspect that this is because holographic fermion does not back-react to geometry in our framework.

arXiv comment24 pages, 13 figures, v2: references added, typos corrected, minor changes

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Cited by in corpus (14)

• Holographic Axion Model: a simple gravitational tool for quantum matter
• Deep learning bulk spacetime from boundary optical conductivity
• Homes' law in holographic superconductor with linear-$T$ resistivity
• Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
• Kasner interiors from analytic hairy black holes
• Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals
• Informational properties for Einstein-Maxwell-Dilaton Gravity
• Complexity growth in Gubser-Rocha models with momentum relaxation
• On pole-skipping with gauge-invariant variables in holographic axion theories
• Studying the holographic Fermi surface in the scalar induced anisotropic background
• Charge transport properties in a novel holographic quantum phase transition model
• Deep learning-based holography for T-linear resistivity
• Photoemission "experiments" on holographic lattices
• Nodal-antinodal dichotomy from anisotropic quantum critical continua in holographic models