ABC-stacked multilayer graphene in holography

TL;DR

This paper presents a holographic model that reproduces the flat band spectrum of ABC-stacked multilayer graphene, with flat bands over finite momentum regions and realistic band deformation under chemical potential.

Contribution

It introduces a bulk interaction term to realize flat bands over finite momentum regions, advancing holographic modeling of multilayer graphene.

Findings

Spectrum matches ABC-stacked multilayer graphene

Flat band exists over finite momentum region

Band deformation occurs with chemical potential

Abstract

A flat band can be studied an infinitely strong coupling, realized in a simple system. Therefore, its holographic realization should be interesting. Laia and Tong gave a realization of the flat band over the entire momentum region by introducing a particular boundary term. Here, we give a model with a flat band over a finite region of momentum space using a bulk interaction term instead of the boundary term. We find that the spectrum of our model is precisely analogous to that of the ABC stacked multilayer graphene. In the presence of the chemical potential, the flat band is bent in our holographic model, which is very close to the band deformation due to the spin-orbit