Towards holographic flat bands

Grandi, Nicolás; Juričić, Vladimir; Salazar Landea, Ignacio; Soto-Garrido, Rodrigo

doi:10.1007/JHEP05(2021)123

Towards holographic flat bands

Nicolás Grandi
(
- La Plata U. and
- UNLP, La Plata (main)
)
,
Vladimir Juričić
(
- Nordita and
- Santa Maria U., Valparaiso
)
,
Ignacio Salazar Landea
(
- La Plata U.
)
,
Rodrigo Soto-Garrido
(
- Chile U., Catolica
)

Mar 2, 2021

19 pages

Published in:

JHEP 05 (2021) 123

Published: May 14, 2021

e-Print:

2103.01690 [hep-th]

DOI:

10.1007/JHEP05(2021)123 (publication)

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Abstract: (Springer)

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.

Note:

20 pages, 8 figures, v2: JHEP version

AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
potential: chemical
fermion: Dirac
holography
critical phenomena
symmetry breaking
back reaction
Hall effect
graphene

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Figures(9)

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