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  • Letter
  • Open Access

Engineering holographic flat fermionic bands

Nicolás Grandi1,2,*, Vladimir Juričić3,4,†, Ignacio Salazar Landea1,‡, and Rodrigo Soto-Garrido5,§

  • 1Instituto de Física de La Plata - CONICET, C.C. 67, 1900 La Plata, Argentina
  • 2Departamento de Física - UNLP, Calle 49 y 115 s/n, 1900 La Plata, Argentina
  • 3Departamento de Física, Universidad Técnica Federico Santa María, Casilla 110, Valparaíso, Chile
  • 4Nordita, KTH Royal Institute of Technology and Stockholm University, Hannes Alfvéns väg 12, 106 91 Stockholm, Sweden
  • 5Facultad de Física, Pontificia Universidad Católica de Chile, Vicuña Mackenna 4860, Santiago, Chile

  • *grandi@fisica.unlp.edu.ar
  • †juricic@gmail.com
  • ‡peznacho@gmail.com
  • §rodrigo.sotog@gmail.com
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Phys. Rev. D 105, L081902 – Published 15 April, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L081902

Abstract

In electronic systems with flat bands, such as twisted bilayer graphene, interaction effects govern the structure of the phase diagram. In this paper, we show that a strongly interacting system featuring fermionic flat bands can be engineered using the holographic duality. In particular, we find that in the holographic nematic phase, two bulk Dirac cones separated in momentum space at low temperature, approach each other as the temperature increases. They eventually collide at a critical temperature yielding a flattened band with a quadratic dispersion. On the other hand, in the symmetric (Lifshitz) phase, this quadratic dispersion relation holds for any finite temperature. We therefore obtain a first holographic, strong-coupling realization of a topological phase transition where two Berry monopoles of charge one merge into a single one with charge two, which may be relevant for two- and three-dimensional topological semimetals.

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Phys. Rev. D 105, L081902– Published 15 April, 2022
  • Received 4 January 2022
  • Accepted 17 March 2022
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