Towards holographic flat bands

GRANDI, NICOLÁS; JURI?I?, VLADIMIR; LANDEA, IGNACIO SALAZAR; SOTO-GARRIDO, RODRIGO

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

Springer Science and Business Media Deutschland GmbH

Año: 2021 vol. 2021

1029-8479

Motivated by the phenomenology in the condensed-matter flat-band Dirac systems, we here construct a holographic model that imprints the symmetry breaking pattern of a rather simple Dirac fermion model at zero chemical potential. In the bulk we explicitly include the backreaction to the corresponding Lifshitz geometry and compute the dynamical critical exponent. Most importantly, we find that such a geometry is unstable towards a nematic phase, exhibiting an anomalous Hall effect and featuring a Drude-like shift of its spectral weight. Our findings should motivate further studies of the quantum phases emerging from such holographic models.