Dynamic gap from holographic fermions in charged dilaton black branes

TL;DR

This paper demonstrates how a Mott gap can dynamically form in holographic fermions within charged dilaton black branes, with the gap size increasing as the dipole interaction strength grows.

Contribution

It introduces a model where a fermion field coupled via dipole interaction to charged dilaton black branes exhibits gap formation, revealing a new holographic mechanism for Mott insulators.

Findings

Spectral weight transfer occurs with increasing dipole interaction.

A gap in the fermion density of states emerges beyond a critical interaction.

The gap size enlarges as the dipole interaction strength increases.

Abstract

We report a dynamical formation of a (Mott) gap from holographic fermions. By coupling a fermion field with dipole action to the charged dilaton black branes with a Lifshitz like IR geometry and $AdS_{4}$ boundary, we find that when the dipole interaction is large enough, spectral weight is transferred between bands, and beyond a critical dipole interaction, a gap emerges in the fermion density of states. The value of the gap becomes larger as the strength of the interaction keeps increasing.